Wang, Gang; Jiang, Tongsong; Vasil’ev, V. I.; Guo, Zhenwei On singular value decomposition for split quaternion matrices and applications in split quaternionic mechanics. (English) Zbl 07738683 J. Comput. Appl. Math. 436, Article ID 115447, 10 p. (2024). MSC: 15A67 15A66 15A18 PDF BibTeX XML Cite \textit{G. Wang} et al., J. Comput. Appl. Math. 436, Article ID 115447, 10 p. (2024; Zbl 07738683) Full Text: DOI
Shubin, N. M. Algebraic approach to annihilation and repulsion of bound states in the continuum in finite systems. (English) Zbl 1512.81033 J. Math. Phys. 64, No. 4, Article ID 042103, 11 p. (2023). MSC: 81Q05 81Q12 PDF BibTeX XML Cite \textit{N. M. Shubin}, J. Math. Phys. 64, No. 4, Article ID 042103, 11 p. (2023; Zbl 1512.81033) Full Text: DOI
Matsoukas-Roubeas, Apollonas S.; Roccati, Federico; Cornelius, Julien; Xu, Zhenyu; Chenu, Aurélia; del Campo, Adolfo Non-Hermitian Hamiltonian deformations in quantum mechanics. (English) Zbl 07675248 J. High Energy Phys. 2023, No. 1, Paper No. 60, 31 p. (2023). MSC: 81-XX PDF BibTeX XML Cite \textit{A. S. Matsoukas-Roubeas} et al., J. High Energy Phys. 2023, No. 1, Paper No. 60, 31 p. (2023; Zbl 07675248) Full Text: DOI arXiv
Guo, Zhenwei; Jiang, Tongsong; Vasil’ev, V. I.; Wang, Gang A novel algebraic approach for the Schrödinger equation in split quaternionic mechanics. (English) Zbl 07630031 Appl. Math. Lett. 137, Article ID 108485, 7 p. (2023). MSC: 81Q05 15A18 70H05 11R52 70H06 PDF BibTeX XML Cite \textit{Z. Guo} et al., Appl. Math. Lett. 137, Article ID 108485, 7 p. (2023; Zbl 07630031) Full Text: DOI
Bagchi, Bijan; Sen, Sauvik Artificial Hawking radiation, weak pseudo-Hermiticity, and Weyl semimetal blackhole analogy. (English) Zbl 1509.83026 J. Math. Phys. 63, No. 12, Article ID 122102, 6 p. (2022). MSC: 83C57 83C50 PDF BibTeX XML Cite \textit{B. Bagchi} and \textit{S. Sen}, J. Math. Phys. 63, No. 12, Article ID 122102, 6 p. (2022; Zbl 1509.83026) Full Text: DOI arXiv
Viennot, David Fuzzy Schwarzschild \((2 + 1)\)-spacetime. (English) Zbl 1509.83035 J. Math. Phys. 63, No. 8, Article ID 082302, 22 p. (2022). MSC: 83C57 83C45 83C65 81R30 81T30 PDF BibTeX XML Cite \textit{D. Viennot}, J. Math. Phys. 63, No. 8, Article ID 082302, 22 p. (2022; Zbl 1509.83035) Full Text: DOI arXiv
Berry, M. V. Quantum carpets in leaky boxes. (English) Zbl 1511.35302 Eur. J. Phys. 43, No. 5, Article ID 055403, 17 p. (2022). MSC: 35Q41 81V80 81V05 35B36 35J05 78A40 PDF BibTeX XML Cite \textit{M. V. Berry}, Eur. J. Phys. 43, No. 5, Article ID 055403, 17 p. (2022; Zbl 1511.35302) Full Text: DOI
Prolhac, Sylvain Riemann surfaces for integer counting processes. (English) Zbl 07632709 J. Stat. Mech. Theory Exp. 2022, No. 11, Article ID 113201, 51 p. (2022). MSC: 82-XX PDF BibTeX XML Cite \textit{S. Prolhac}, J. Stat. Mech. Theory Exp. 2022, No. 11, Article ID 113201, 51 p. (2022; Zbl 07632709) Full Text: DOI arXiv
Xu, Cong; Wu, Zhaoqi; Fei, Shao-Ming Uncertainty of quantum channels via modified generalized variance and modified generalized Wigner-Yanase-Dyson skew information. (English) Zbl 1508.81363 Quantum Inf. Process. 21, No. 8, Paper No. 292, 22 p. (2022). MSC: 81P47 PDF BibTeX XML Cite \textit{C. Xu} et al., Quantum Inf. Process. 21, No. 8, Paper No. 292, 22 p. (2022; Zbl 1508.81363) Full Text: DOI arXiv
Fernández, Francisco M. On a class of non-Hermitian Hamiltonians with tridiagonal matrix representation. (English) Zbl 1500.81035 Ann. Phys. 443, Article ID 169008, 8 p. (2022). MSC: 81Q12 81Q10 47B36 35G15 PDF BibTeX XML Cite \textit{F. M. Fernández}, Ann. Phys. 443, Article ID 169008, 8 p. (2022; Zbl 1500.81035) Full Text: DOI arXiv
Kaprálová-Žďánská, Petra Ruth Complex time method for quantum dynamics when an exceptional point is encircled in the parameter space. (English) Zbl 1500.81033 Ann. Phys. 443, Article ID 168939, 81 p. (2022). MSC: 81Q10 11G15 35B34 60J35 41A58 70H11 PDF BibTeX XML Cite \textit{P. R. Kaprálová-Žďánská}, Ann. Phys. 443, Article ID 168939, 81 p. (2022; Zbl 1500.81033) Full Text: DOI arXiv
Nguyen, Ba Phi; Lieu, Thi Kim Thoa; Kim, Kihong Numerical study of the transverse localization of waves in one-dimensional lattices with randomly distributed gain and loss: effect of disorder correlations. (English) Zbl 1502.78032 Waves Random Complex Media 32, No. 1, 390-405 (2022). MSC: 78A60 78A40 35P15 82B44 35Q55 PDF BibTeX XML Cite \textit{B. P. Nguyen} et al., Waves Random Complex Media 32, No. 1, 390--405 (2022; Zbl 1502.78032) Full Text: DOI arXiv
Znojil, Miloslav; Borisov, Denis I. Arnold’s potentials and quantum catastrophes. II. (English) Zbl 1497.81055 Ann. Phys. 442, Article ID 168896, 15 p. (2022). MSC: 81Q05 26C05 81Q15 58K35 31C35 35B20 PDF BibTeX XML Cite \textit{M. Znojil} and \textit{D. I. Borisov}, Ann. Phys. 442, Article ID 168896, 15 p. (2022; Zbl 1497.81055) Full Text: DOI arXiv
Song, Jin; Zhou, Zijian; Weng, Weifang; Yan, Zhenya \(\mathcal{PT}\)-symmetric peakon solutions in self-focusing/defocusing power-law nonlinear media: stability, interactions and adiabatic excitations. (English) Zbl 1490.35453 Physica D 435, Article ID 133266, 14 p. (2022). MSC: 35Q55 81Q10 81R40 81V80 78A60 60H40 PDF BibTeX XML Cite \textit{J. Song} et al., Physica D 435, Article ID 133266, 14 p. (2022; Zbl 1490.35453) Full Text: DOI
Barrera-Figueroa, Víctor A power series analysis of bound and resonance states of one-dimensional Schrödinger operators with finite point interactions. (English) Zbl 1510.81056 Appl. Math. Comput. 417, Article ID 126774, 13 p. (2022). MSC: 81Q05 35J10 46F20 PDF BibTeX XML Cite \textit{V. Barrera-Figueroa}, Appl. Math. Comput. 417, Article ID 126774, 13 p. (2022; Zbl 1510.81056) Full Text: DOI
Cejnar, Pavel; Stránský, Pavel; Macek, Michal; Kloc, Michal Excited-state quantum phase transitions. (English) Zbl 07649105 J. Phys. A, Math. Theor. 54, No. 13, Article ID 133001, 77 p. (2021). MSC: 82C26 81Q20 PDF BibTeX XML Cite \textit{P. Cejnar} et al., J. Phys. A, Math. Theor. 54, No. 13, Article ID 133001, 77 p. (2021; Zbl 07649105) Full Text: DOI arXiv
Jarosz, S.; Vaz, J. jun. Bound and scattering states for supersingular potentials. (English) Zbl 1482.81009 Ann. Phys. 434, Article ID 168617, 27 p. (2021). MSC: 81Q05 46F10 35A22 81V45 81U05 PDF BibTeX XML Cite \textit{S. Jarosz} and \textit{J. Vaz jun.}, Ann. Phys. 434, Article ID 168617, 27 p. (2021; Zbl 1482.81009) Full Text: DOI
Wang, Gang; Zhang, Dong; Guo, Zhenwei; Jiang, Tongsong Cramer’s rule over quaternions and split quaternions: a unified algebraic approach in quaternionic and split quaternionic mechanics. (English) Zbl 1483.11251 J. Algebra Appl. 20, No. 5, Article ID 2150080, 11 p. (2021). Reviewer: Danail Brezov (Sofia) MSC: 11R52 15A06 15B33 PDF BibTeX XML Cite \textit{G. Wang} et al., J. Algebra Appl. 20, No. 5, Article ID 2150080, 11 p. (2021; Zbl 1483.11251) Full Text: DOI
Chakraborty, Arindam Understanding partial \(\mathcal{PT}\) symmetry as weighted composition conjugation in reproducing kernel Hilbert space: an application to non-Hermitian Bose-Hubbard type Hamiltonian in Fock space. (English) Zbl 07421032 Int. J. Theor. Phys. 60, No. 9, 3689-3697 (2021). MSC: 81Qxx 47Bxx 47Axx PDF BibTeX XML Cite \textit{A. Chakraborty}, Int. J. Theor. Phys. 60, No. 9, 3689--3697 (2021; Zbl 07421032) Full Text: DOI arXiv
Wang, Gang; Jiang, Tongsong; Guo, Zhenwei; Zhang, Dong A complex structure-preserving algorithm for split quaternion matrix LDU decomposition In split quaternion mechanics. (English) Zbl 07380429 Calcolo 58, No. 3, Paper No. 34, 15 p. (2021). MSC: 65Fxx PDF BibTeX XML Cite \textit{G. Wang} et al., Calcolo 58, No. 3, Paper No. 34, 15 p. (2021; Zbl 07380429) Full Text: DOI
Znojil, Miloslav Exceptional points and domains of unitarity for a class of strongly non-Hermitian real-matrix Hamiltonians. (English) Zbl 1465.81034 J. Math. Phys. 62, No. 5, Article ID 052103, 18 p. (2021). MSC: 81Q12 81Q15 15A18 PDF BibTeX XML Cite \textit{M. Znojil}, J. Math. Phys. 62, No. 5, Article ID 052103, 18 p. (2021; Zbl 1465.81034) Full Text: DOI arXiv
García-Calderón, Gastón; Romo, Roberto Unitarity of quantum tunneling decay for an analytical exact non-Hermitian resonant-state approach. (English) Zbl 1453.81059 Ann. Phys. 424, Article ID 168348, 16 p. (2021). MSC: 81U26 81Q12 PDF BibTeX XML Cite \textit{G. García-Calderón} and \textit{R. Romo}, Ann. Phys. 424, Article ID 168348, 16 p. (2021; Zbl 1453.81059) Full Text: DOI arXiv
Gyamfi, Jerryman A. Fundamentals of quantum mechanics in Liouville space. (English) Zbl 07684299 Eur. J. Phys. 41, No. 6, Article ID 063002, 60 p. (2020). MSC: 81-XX 15-XX PDF BibTeX XML Cite \textit{J. A. Gyamfi}, Eur. J. Phys. 41, No. 6, Article ID 063002, 60 p. (2020; Zbl 07684299) Full Text: DOI arXiv
Chakraborty, Arindam A new boson realization of fusion polynomial algebras in non-Hermitian quantum mechanics: \(\gamma\)-deformed \(\mathfrak{su}(2)\) generators, \(\mathcal{PT}\)-symmetry in Fock space and Higgs algebra. (English) Zbl 07646192 J. Phys. A, Math. Theor. 53, No. 48, Article ID 485202, 25 p. (2020). MSC: 81R10 81Q12 81R05 81Q10 PDF BibTeX XML Cite \textit{A. Chakraborty}, J. Phys. A, Math. Theor. 53, No. 48, Article ID 485202, 25 p. (2020; Zbl 07646192) Full Text: DOI
Ortega, Adrian; Stegmann, Thomas; Benet, Luis; Larralde, Hernán Spectral and transport properties of a \(\mathcal{PT}\)-symmetric tight-binding chain with gain and loss. (English) Zbl 07645631 J. Phys. A, Math. Theor. 53, No. 44, Article ID 445308, 22 p. (2020). MSC: 81S22 81Q12 15A18 PDF BibTeX XML Cite \textit{A. Ortega} et al., J. Phys. A, Math. Theor. 53, No. 44, Article ID 445308, 22 p. (2020; Zbl 07645631) Full Text: DOI arXiv
Dizdarevic, Daniel; Cartarius, Holger; Main, Jörg; Wunner, Günter Balancing gain and loss in symmetrised multi-well potentials. (English) Zbl 07644819 J. Phys. A, Math. Theor. 53, No. 40, Article ID 405304, 21 p. (2020). MSC: 81S22 81R40 PDF BibTeX XML Cite \textit{D. Dizdarevic} et al., J. Phys. A, Math. Theor. 53, No. 40, Article ID 405304, 21 p. (2020; Zbl 07644819) Full Text: DOI arXiv
Wang, Yan-Yi; Fang, Mao-Fa Quantum Fisher information of a two-level system controlled by non-Hermitian operation under depolarization. (English) Zbl 1508.81336 Quantum Inf. Process. 19, No. 6, Paper No. 173, 11 p. (2020). MSC: 81P45 94A17 PDF BibTeX XML Cite \textit{Y.-Y. Wang} and \textit{M.-F. Fang}, Quantum Inf. Process. 19, No. 6, Paper No. 173, 11 p. (2020; Zbl 1508.81336) Full Text: DOI
Zhang, Qi; Wu, Biao Monopoles in non-Hermitian systems. (English) Zbl 1511.81050 J. Phys. A, Math. Theor. 53, No. 6, Article ID 065203, 11 p. (2020). MSC: 81Q12 81Q70 PDF BibTeX XML Cite \textit{Q. Zhang} and \textit{B. Wu}, J. Phys. A, Math. Theor. 53, No. 6, Article ID 065203, 11 p. (2020; Zbl 1511.81050) Full Text: DOI arXiv
Znojil, Miloslav Unitary unfoldings of a Bose-Hubbard exceptional point with and without particle number conservation. (English) Zbl 1472.81097 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2242, Article ID 20200292, 19 p. (2020). MSC: 81Q12 81V73 PDF BibTeX XML Cite \textit{M. Znojil}, Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2242, Article ID 20200292, 19 p. (2020; Zbl 1472.81097) Full Text: DOI arXiv
Znojil, Miloslav Passage through exceptional point: case study. (English) Zbl 1472.81096 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2236, Article ID 20190831, 15 p. (2020). MSC: 81Q12 81S22 PDF BibTeX XML Cite \textit{M. Znojil}, Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2236, Article ID 20190831, 15 p. (2020; Zbl 1472.81096) Full Text: DOI arXiv
Chen, Mu-Fa; Li, Jin-Yu Hermitizable, isospectral complex second-order differential operators. (English) Zbl 07350717 Front. Math. China 15, No. 5, 867-889 (2020). MSC: 47B15 47B91 PDF BibTeX XML Cite \textit{M.-F. Chen} and \textit{J.-Y. Li}, Front. Math. China 15, No. 5, 867--889 (2020; Zbl 07350717) Full Text: DOI
Pearce, Paul A.; Rasmussen, Jørgen; Vittorini-Orgeas, Alessandra Yang-Baxter integrable dimers on a strip. (English) Zbl 1459.82076 J. Stat. Mech. Theory Exp. 2020, No. 1, Article ID 013107, 38 p. (2020). MSC: 82B23 82B20 81T40 PDF BibTeX XML Cite \textit{P. A. Pearce} et al., J. Stat. Mech. Theory Exp. 2020, No. 1, Article ID 013107, 38 p. (2020; Zbl 1459.82076) Full Text: DOI arXiv
Fikioris, George Eigenvalue bifurcations in Kac-Murdock-Szegő matrices with a complex parameter. (English) Zbl 1458.15050 Linear Algebra Appl. 607, 118-150 (2020). Reviewer: Julio Benítez Lopez (Valencia) MSC: 15B05 15A18 14H20 14H50 53A04 PDF BibTeX XML Cite \textit{G. Fikioris}, Linear Algebra Appl. 607, 118--150 (2020; Zbl 1458.15050) Full Text: DOI arXiv
Bagchi, Bijan; Yang, Jianke New families of non-parity-time-symmetric complex potentials with all-real spectra. (English) Zbl 1452.81112 J. Math. Phys. 61, No. 6, 063506, 8 p. (2020). MSC: 81Q12 35P05 81Q60 PDF BibTeX XML Cite \textit{B. Bagchi} and \textit{J. Yang}, J. Math. Phys. 61, No. 6, 063506, 8 p. (2020; Zbl 1452.81112) Full Text: DOI arXiv
Giardino, Sergio Quaternionic quantum mechanics in real Hilbert space. (English) Zbl 1451.81247 J. Geom. Phys. 158, Article ID 103956, 8 p. (2020). MSC: 81Q65 46S05 11R52 20G20 42B05 PDF BibTeX XML Cite \textit{S. Giardino}, J. Geom. Phys. 158, Article ID 103956, 8 p. (2020; Zbl 1451.81247) Full Text: DOI arXiv
Orchini, Alessandro; Magri, Luca; Silva, Camilo F.; Mensah, Georg A.; Moeck, Jonas P. Degenerate perturbation theory in thermoacoustics: high-order sensitivities and exceptional points. (English) Zbl 1460.76705 J. Fluid Mech. 903, Paper No. A37, 30 p. (2020). MSC: 76Q05 80A25 76M99 PDF BibTeX XML Cite \textit{A. Orchini} et al., J. Fluid Mech. 903, Paper No. A37, 30 p. (2020; Zbl 1460.76705) Full Text: DOI arXiv
Ilišević, Dijana; Ptak, Marek Conjugations on Banach \(*\)-algebras. (English) Zbl 1461.47013 Ann. Funct. Anal. 11, No. 4, 1274-1286 (2020). MSC: 47B48 47L30 46L40 47L10 47B33 PDF BibTeX XML Cite \textit{D. Ilišević} and \textit{M. Ptak}, Ann. Funct. Anal. 11, No. 4, 1274--1286 (2020; Zbl 1461.47013) Full Text: DOI
Emery, Yoan; Mariño, Marcos; Ronzani, Massimiliano Resonances and PT symmetry in quantum curves. (English) Zbl 1436.83082 J. High Energy Phys. 2020, No. 4, Paper No. 150, 34 p. (2020). MSC: 83E30 81T45 81Q10 81R40 PDF BibTeX XML Cite \textit{Y. Emery} et al., J. High Energy Phys. 2020, No. 4, Paper No. 150, 34 p. (2020; Zbl 1436.83082) Full Text: DOI arXiv
Nennig, Benoit; Perrey-Debain, Emmanuel A high order continuation method to locate exceptional points and to compute Puiseux series with applications to acoustic waveguides. (English) Zbl 1436.65040 J. Comput. Phys. 412, Article ID 109425, 16 p. (2020). MSC: 65F15 76Q05 PDF BibTeX XML Cite \textit{B. Nennig} and \textit{E. Perrey-Debain}, J. Comput. Phys. 412, Article ID 109425, 16 p. (2020; Zbl 1436.65040) Full Text: DOI arXiv
Fring, Andreas; Frith, Thomas Time-dependent metric for the two-dimensional, non-Hermitian coupled oscillator. (English) Zbl 1434.81029 Mod. Phys. Lett. A 35, No. 8, Article ID 2050041, 10 p. (2020). MSC: 81Q05 81Q12 81R40 PDF BibTeX XML Cite \textit{A. Fring} and \textit{T. Frith}, Mod. Phys. Lett. A 35, No. 8, Article ID 2050041, 10 p. (2020; Zbl 1434.81029) Full Text: DOI arXiv
Wu, Zhaoqi; Zhang, Lin; Wang, Jianhui; Li-Jost, Xianqing; Fei, Shao-Ming Uncertainty relations based on modified Wigner-Yanase-Dyson skew information. (English) Zbl 1433.81104 Int. J. Theor. Phys. 59, No. 3, 704-718 (2020). MSC: 81S07 46G10 PDF BibTeX XML Cite \textit{Z. Wu} et al., Int. J. Theor. Phys. 59, No. 3, 704--718 (2020; Zbl 1433.81104) Full Text: DOI arXiv
Wang, Minghui; Yue, Lingling; Liu, Qiaohua Elementary transformation and its applications for split quaternion matrices. (English) Zbl 1432.15020 Adv. Appl. Clifford Algebr. 30, No. 1, Paper No. 1, 10 p. (2020). MSC: 15A66 15A23 PDF BibTeX XML Cite \textit{M. Wang} et al., Adv. Appl. Clifford Algebr. 30, No. 1, Paper No. 1, 10 p. (2020; Zbl 1432.15020) Full Text: DOI
Borisov, D. I.; Zezyulin, D. A. Sequences of closely spaced resonances and eigenvalues for bipartite complex potentials. (English) Zbl 1427.81028 Appl. Math. Lett. 100, Article ID 106049, 9 p. (2020). MSC: 81Q05 81Q12 34L40 81Q37 81V80 35B34 PDF BibTeX XML Cite \textit{D. I. Borisov} and \textit{D. A. Zezyulin}, Appl. Math. Lett. 100, Article ID 106049, 9 p. (2020; Zbl 1427.81028) Full Text: DOI arXiv
Fan, Yajing; Cao, Huaixin; Wang, Wenhua; Meng, Huixian; Chen, Liang Non-Hermitian extensions of uncertainty relations with generalized metric adjusted skew information. (English) Zbl 1508.81833 Quantum Inf. Process. 18, No. 10, Paper No. 309, 23 p. (2019). MSC: 81Q12 15B57 82B10 94A17 PDF BibTeX XML Cite \textit{Y. Fan} et al., Quantum Inf. Process. 18, No. 10, Paper No. 309, 23 p. (2019; Zbl 1508.81833) Full Text: DOI
Zhang, X. Z.; Zhang, G.; Song, Z. Classical correspondence of the exceptional points in the finite non-Hermitian system. (English) Zbl 1509.81585 J. Phys. A, Math. Theor. 52, No. 16, Article ID 165302, 14 p. (2019). MSC: 81T45 81T35 PDF BibTeX XML Cite \textit{X. Z. Zhang} et al., J. Phys. A, Math. Theor. 52, No. 16, Article ID 165302, 14 p. (2019; Zbl 1509.81585) Full Text: DOI arXiv
Liu, Zi-Zhong; Henry, Robert A.; Batchelor, Murray T.; Zhou, Huan-Qiang Some ground-state expectation values for the free parafermion \(Z(N)\) spin chain. (English) Zbl 1459.82013 J. Stat. Mech. Theory Exp. 2019, No. 12, Article ID 124002, 17 p. (2019). MSC: 82B10 82B20 PDF BibTeX XML Cite \textit{Z.-Z. Liu} et al., J. Stat. Mech. Theory Exp. 2019, No. 12, Article ID 124002, 17 p. (2019; Zbl 1459.82013) Full Text: DOI arXiv
Fan, Zhiwei; Malomed, Boris A. Dynamical control of solitons in a parity-time-symmetric coupler by periodic management. (English) Zbl 1510.78048 Commun. Nonlinear Sci. Numer. Simul. 79, Article ID 104906, 10 p. (2019). MSC: 78A60 78A50 35C08 35B06 35Q55 PDF BibTeX XML Cite \textit{Z. Fan} and \textit{B. A. Malomed}, Commun. Nonlinear Sci. Numer. Simul. 79, Article ID 104906, 10 p. (2019; Zbl 1510.78048) Full Text: DOI arXiv
Znojil, Miloslav On some aspects of unitary evolution generated by non-Hermitian Hamiltonians. (English) Zbl 1425.81042 Kuru, Şengül (ed.) et al., Integrability, supersymmetry and coherent states. A volume in honour of Professor Véronique Hussin. In part selected contributions from the 6th international workshop on new challenges in quantum mechanics: integrability and supersymmetry, Valladolid, Spain, June 27–30, 2017. Cham: Springer. CRM Ser. Math. Phys., 411-426 (2019). MSC: 81Q12 81R05 81Q80 81U99 82B26 58K05 PDF BibTeX XML Cite \textit{M. Znojil}, in: Integrability, supersymmetry and coherent states. A volume in honour of Professor Véronique Hussin. In part selected contributions from the 6th international workshop on new challenges in quantum mechanics: integrability and supersymmetry, Valladolid, Spain, June 27--30, 2017. Cham: Springer. 411--426 (2019; Zbl 1425.81042) Full Text: DOI
Botet, Robert; Kuratsuji, Hiroshi The duality between a non-Hermitian two-state quantum system and a massless charged particle. (English) Zbl 1422.81104 J. Phys. A, Math. Theor. 52, No. 3, Article ID 035303, 18 p. (2019). MSC: 81Q12 81V19 81V10 81V80 PDF BibTeX XML Cite \textit{R. Botet} and \textit{H. Kuratsuji}, J. Phys. A, Math. Theor. 52, No. 3, Article ID 035303, 18 p. (2019; Zbl 1422.81104) Full Text: DOI HAL
Li, Hong; Zhang, Si-Qi; Li, Mei-Xuan; Guo, Ming; Song, Li-Jun Quantum state conversion in two-level system without rotating-wave approximation via non-Hermitian shortcuts to adiabaticity. (English) Zbl 1422.81186 Int. J. Theor. Phys. 58, No. 8, 2692-2702 (2019). MSC: 81V80 81Q12 PDF BibTeX XML Cite \textit{H. Li} et al., Int. J. Theor. Phys. 58, No. 8, 2692--2702 (2019; Zbl 1422.81186) Full Text: DOI
Jiang, Tongsong; Zhang, Zhaozhong; Jiang, Ziwu Algebraic techniques for eigenvalues and eigenvectors of a split quaternion matrix in split quaternionic mechanics. (English) Zbl 1498.15040 Comput. Phys. Commun. 229, 1-7 (2018). MSC: 15B33 15A18 PDF BibTeX XML Cite \textit{T. Jiang} et al., Comput. Phys. Commun. 229, 1--7 (2018; Zbl 1498.15040) Full Text: DOI
Praxmeyer, Ludmila; Zloshchastiev, Konstantin G. Phase space formulation of density operator for non-Hermitian Hamiltonians and its application in quantum theory of decay. (English) Zbl 1423.81077 Int. J. Mod. Phys. B 32, No. 25, Article ID 1850276, 15 p. (2018). MSC: 81Q12 81S22 PDF BibTeX XML Cite \textit{L. Praxmeyer} and \textit{K. G. Zloshchastiev}, Int. J. Mod. Phys. B 32, No. 25, Article ID 1850276, 15 p. (2018; Zbl 1423.81077) Full Text: DOI arXiv
Neufeld, Ofer; Sharabi, Yonatan; Ben-Asher, Anael; Moiseyev, Nimrod Calculating bound states resonances and scattering amplitudes for arbitrary 1D potentials with piecewise parabolas. (English) Zbl 1411.81033 J. Phys. A, Math. Theor. 51, No. 47, Article ID 475301, 13 p. (2018). MSC: 81-08 81Q05 81Q12 35B34 35P05 81U05 35P25 78A50 PDF BibTeX XML Cite \textit{O. Neufeld} et al., J. Phys. A, Math. Theor. 51, No. 47, Article ID 475301, 13 p. (2018; Zbl 1411.81033) Full Text: DOI
Jiang, Tongsong; Zhang, Zhaozhong; Jiang, Ziwu Algebraic techniques for Schrödinger equations in split quaternionic mechanics. (English) Zbl 1409.82007 Comput. Math. Appl. 75, No. 7, 2217-2222 (2018). MSC: 82C10 PDF BibTeX XML Cite \textit{T. Jiang} et al., Comput. Math. Appl. 75, No. 7, 2217--2222 (2018; Zbl 1409.82007) Full Text: DOI
Chen, Zhaopin; Li, Yongyao; Malomed, Boris A. \(\mathcal{PT}\)-symmetric and antisymmetric nonlinear states in a split potential box. (English) Zbl 1404.81123 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2124, Article ID 20170369, 16 p. (2018). MSC: 81Q80 81T60 PDF BibTeX XML Cite \textit{Z. Chen} et al., Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2124, Article ID 20170369, 16 p. (2018; Zbl 1404.81123) Full Text: DOI arXiv
Juhasz, David; Kolesik, Miro; Jakobsen, Per Kristen Convergence and completeness for square-well Stark resonant state expansions. (English) Zbl 1404.81095 J. Math. Phys. 59, No. 11, 113501, 17 p. (2018). MSC: 81Q05 35B34 81Q15 PDF BibTeX XML Cite \textit{D. Juhasz} et al., J. Math. Phys. 59, No. 11, 113501, 17 p. (2018; Zbl 1404.81095) Full Text: DOI arXiv
Eleuch, Hichem; Rotter, Ingrid Loss, gain, and singular points in open quantum systems. (English) Zbl 1404.81147 Adv. Math. Phys. 2018, Article ID 3653851, 9 p. (2018). MSC: 81S22 81Q12 81P16 PDF BibTeX XML Cite \textit{H. Eleuch} and \textit{I. Rotter}, Adv. Math. Phys. 2018, Article ID 3653851, 9 p. (2018; Zbl 1404.81147) Full Text: DOI
Bonnet-Ben Dhia, Anne-Sophie; Chesnel, Lucas; Pagneux, Vincent Trapped modes and reflectionless modes as eigenfunctions of the same spectral problem. (English) Zbl 1402.78017 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 474, No. 2213, Article ID 20180050, 14 p. (2018). MSC: 78A50 PDF BibTeX XML Cite \textit{A.-S. Bonnet-Ben Dhia} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 474, No. 2213, Article ID 20180050, 14 p. (2018; Zbl 1402.78017) Full Text: DOI arXiv
Wang, Yan-Yi; Fang, Mao-Fa Enhancing and protecting quantum correlations of a two-qubit entangled system via non-Hermitian operation. (English) Zbl 1448.81129 Quantum Inf. Process. 17, No. 8, Paper No. 208, 11 p. (2018). MSC: 81P40 81S22 81Q12 81P42 PDF BibTeX XML Cite \textit{Y.-Y. Wang} and \textit{M.-F. Fang}, Quantum Inf. Process. 17, No. 8, Paper No. 208, 11 p. (2018; Zbl 1448.81129) Full Text: DOI
Fan, Yajing; Cao, Huaixin; Wang, Wenhua; Meng, Huixian; Chen, Liang Uncertainty relations with the generalized Wigner-Yanase-Dyson skew information. (English) Zbl 1448.81379 Quantum Inf. Process. 17, No. 7, Paper No. 157, 21 p. (2018). MSC: 81S07 81P15 46G10 81R05 PDF BibTeX XML Cite \textit{Y. Fan} et al., Quantum Inf. Process. 17, No. 7, Paper No. 157, 21 p. (2018; Zbl 1448.81379) Full Text: DOI
Dey, Sanjib; Fring, Andreas; Hussin, Véronique A squeezed review on coherent states and nonclassicality for non-Hermitian systems with minimal length. (English) Zbl 1398.81117 Antoine, Jean-Pierre (ed.) et al., Coherent states and their applications. A contemporary panorama. Cham: Springer (ISBN 978-3-319-76731-4/hbk; 978-3-319-76732-1/ebook). Springer Proceedings in Physics 205, 209-242 (2018). MSC: 81R30 81Q12 81-02 PDF BibTeX XML Cite \textit{S. Dey} et al., Springer Proc. Phys. 205, 209--242 (2018; Zbl 1398.81117) Full Text: DOI arXiv
Graefe, E. M.; Longstaff, B.; Plastow, T.; Schubert, R. Lindblad dynamics of Gaussian states and their superpositions in the semiclassical limit. (English) Zbl 1397.81098 J. Phys. A, Math. Theor. 51, No. 36, Article ID 365203, 20 p. (2018). MSC: 81R30 81Q20 81S30 47D07 62J10 PDF BibTeX XML Cite \textit{E. M. Graefe} et al., J. Phys. A, Math. Theor. 51, No. 36, Article ID 365203, 20 p. (2018; Zbl 1397.81098) Full Text: DOI arXiv
Fring, Andreas; Frith, Thomas Solvable two-dimensional time-dependent non-Hermitian quantum systems with infinite dimensional Hilbert space in the broken PT-regime. (English) Zbl 1396.81079 J. Phys. A, Math. Theor. 51, No. 26, Article ID 265301, 12 p. (2018). MSC: 81Q05 81Q12 81Q80 35Q41 81R05 PDF BibTeX XML Cite \textit{A. Fring} and \textit{T. Frith}, J. Phys. A, Math. Theor. 51, No. 26, Article ID 265301, 12 p. (2018; Zbl 1396.81079) Full Text: DOI arXiv Link
Lasser, Caroline; Schubert, Roman; Troppmann, Stephanie Non-Hermitian propagation of Hagedorn wavepackets. (English) Zbl 1456.81184 J. Math. Phys. 59, No. 8, 082102, 35 p. (2018). MSC: 81Q12 81Q05 81R30 03D80 PDF BibTeX XML Cite \textit{C. Lasser} et al., J. Math. Phys. 59, No. 8, 082102, 35 p. (2018; Zbl 1456.81184) Full Text: DOI arXiv
Roberts, Bryan W. Observables, disassembled. (English) Zbl 1395.81015 Stud. Hist. Philos. Sci., Part B, Stud. Hist. Philos. Mod. Phys. 63, 150-162 (2018). MSC: 81P05 81Q10 81Q12 PDF BibTeX XML Cite \textit{B. W. Roberts}, Stud. Hist. Philos. Sci., Part B, Stud. Hist. Philos. Mod. Phys. 63, 150--162 (2018; Zbl 1395.81015) Full Text: DOI arXiv Link
Losada, Marcelo; Fortin, Sebastian; Holik, Federico Classical limit and quantum logic. (English) Zbl 1394.81126 Int. J. Theor. Phys. 57, No. 2, 465-475 (2018). MSC: 81Q20 81P10 81S22 PDF BibTeX XML Cite \textit{M. Losada} et al., Int. J. Theor. Phys. 57, No. 2, 465--475 (2018; Zbl 1394.81126) Full Text: DOI Link
Losada, Marcelo; Fortin, Sebastian; Gadella, Manuel; Holik, Federico Dynamics of algebras in quantum unstable systems. (English) Zbl 1394.81163 Int. J. Mod. Phys. A 33, No. 18-19, Article ID 1850109, 17 p. (2018). MSC: 81U99 47A70 81S22 PDF BibTeX XML Cite \textit{M. Losada} et al., Int. J. Mod. Phys. A 33, No. 18--19, Article ID 1850109, 17 p. (2018; Zbl 1394.81163) Full Text: DOI arXiv
Giardino, Sergio Non-anti-Hermitian quaternionic quantum mechanics. (English) Zbl 1392.81147 Adv. Appl. Clifford Algebr. 28, No. 1, Paper No. 19, 11 p. (2018). MSC: 81R12 11R52 81Q20 PDF BibTeX XML Cite \textit{S. Giardino}, Adv. Appl. Clifford Algebr. 28, No. 1, Paper No. 19, 11 p. (2018; Zbl 1392.81147) Full Text: DOI arXiv Link
Messirdi, Bekkai; Messirdi, Sofiane; Messirdi, Miloud Complex symmetric operators and semiclassical resonances. (English) Zbl 1507.47059 Asian-Eur. J. Math. 11, No. 3, Article ID 1850044, 14 p. (2018). MSC: 47B25 47B93 47A10 PDF BibTeX XML Cite \textit{B. Messirdi} et al., Asian-Eur. J. Math. 11, No. 3, Article ID 1850044, 14 p. (2018; Zbl 1507.47059) Full Text: DOI
Alicata, G.; Bagarello, F.; Gargano, F.; Spagnolo, S. Quantum mechanical settings inspired by RLC circuits. (English) Zbl 1470.47067 J. Math. Phys. 59, No. 4, 042112, 13 p. (2018). Reviewer: Luisa Consiglieri (Lisboa) MSC: 47N70 81Q12 81R05 78A25 PDF BibTeX XML Cite \textit{G. Alicata} et al., J. Math. Phys. 59, No. 4, 042112, 13 p. (2018; Zbl 1470.47067) Full Text: DOI arXiv
Jakobsen, P.; Mansuripur, M.; Kolesik, M. Leaky-mode expansion of the electromagnetic field inside dispersive spherical cavity. (English) Zbl 1390.78004 J. Math. Phys. 59, No. 3, 033501, 13 p. (2018). MSC: 78A10 78A40 78A48 32A20 81V80 PDF BibTeX XML Cite \textit{P. Jakobsen} et al., J. Math. Phys. 59, No. 3, 033501, 13 p. (2018; Zbl 1390.78004) Full Text: DOI Link
Rosas-Ortiz, Oscar; Zelaya, Kevin Bi-orthogonal approach to non-Hermitian Hamiltonians with the oscillator spectrum: generalized coherent states for nonlinear algebras. (English) Zbl 1382.81118 Ann. Phys. 388, 26-53 (2018). MSC: 81R30 81Q12 PDF BibTeX XML Cite \textit{O. Rosas-Ortiz} and \textit{K. Zelaya}, Ann. Phys. 388, 26--53 (2018; Zbl 1382.81118) Full Text: DOI arXiv Link
Wang, Guanglei; Xu, Hongya; Huang, Liang; Lai, Ying-Cheng Relativistic Zitterbewegung in non-Hermitian photonic waveguide systems. (English) Zbl 1512.82040 New J. Phys. 19, No. 1, Article ID 013017, 14 p. (2017). MSC: 82D77 PDF BibTeX XML Cite \textit{G. Wang} et al., New J. Phys. 19, No. 1, Article ID 013017, 14 p. (2017; Zbl 1512.82040) Full Text: DOI arXiv
Znojil, Miloslav; Ružička, František; Zloshchastiev, Konstantin G. Schrödinger equations with logarithmic self-interactions: from antilinear \(\mathcal{PT}\)-symmetry to the nonlinear coupling of channels. (English) Zbl 1423.35358 Symmetry 9, No. 8, Paper No. 165, 18 p. (2017). MSC: 35Q55 PDF BibTeX XML Cite \textit{M. Znojil} et al., Symmetry 9, No. 8, Paper No. 165, 18 p. (2017; Zbl 1423.35358) Full Text: DOI
Longhi, Stefano Non-Hermitian interaction of a discrete state with a continuum. (English) Zbl 1426.81040 Int. J. Mod. Phys. B 31, No. 31, Article ID 1750235, 18 p. (2017). MSC: 81Q12 81Q05 81V80 81Q93 PDF BibTeX XML Cite \textit{S. Longhi}, Int. J. Mod. Phys. B 31, No. 31, Article ID 1750235, 18 p. (2017; Zbl 1426.81040) Full Text: DOI arXiv
Theel, Friethjof; Karamatskou, Antonia; Santra, Robin The fractal geometry of Hartree-Fock. (English) Zbl 1390.81767 Chaos 27, No. 12, 123103, 13 p. (2017). MSC: 81V70 81-08 37N20 28A80 81V45 PDF BibTeX XML Cite \textit{F. Theel} et al., Chaos 27, No. 12, 123103, 13 p. (2017; Zbl 1390.81767) Full Text: DOI Link
Hounguevou, Jean V.; Dossa, F. A.; Avossevou, Gabriel Y. H. Biorthogonal quantum mechanics for non-Hermitian multimode and multiphoton Jaynes-Cummings models. (English. Russian original) Zbl 1387.81401 Theor. Math. Phys. 193, No. 1, 1464-1479 (2017); translation from Teor. Mat. Fiz. 193, No. 1, 65-83 (2017). MSC: 81V80 81Q12 17A70 17B81 PDF BibTeX XML Cite \textit{J. V. Hounguevou} et al., Theor. Math. Phys. 193, No. 1, 1464--1479 (2017; Zbl 1387.81401); translation from Teor. Mat. Fiz. 193, No. 1, 65--83 (2017) Full Text: DOI
Liu, Jun-Tong; Wang, Qing-Wen; Li, Lei Uncertainty relation on generalized skew information with amonotone pair. (English) Zbl 1383.81024 Int. J. Theor. Phys. 56, No. 8, 2423-2432 (2017). MSC: 81P15 81R05 62J10 PDF BibTeX XML Cite \textit{J.-T. Liu} et al., Int. J. Theor. Phys. 56, No. 8, 2423--2432 (2017; Zbl 1383.81024) Full Text: DOI
Gomez, Ignacio S. Lyapunov exponents and poles in a non Hermitian dynamics. (English) Zbl 1373.81214 Chaos Solitons Fractals 99, 155-161 (2017). MSC: 81Q12 81Q30 PDF BibTeX XML Cite \textit{I. S. Gomez}, Chaos Solitons Fractals 99, 155--161 (2017; Zbl 1373.81214) Full Text: DOI arXiv Link
Longhi, Stefano; Della Valle, Giuseppe Non-Hermitian time-dependent perturbation theory: asymmetric transitions and transitionless interactions. (English) Zbl 1372.81061 Ann. Phys. 385, 744-756 (2017). MSC: 81Q12 81Q15 PDF BibTeX XML Cite \textit{S. Longhi} and \textit{G. Della~Valle}, Ann. Phys. 385, 744--756 (2017; Zbl 1372.81061) Full Text: DOI arXiv
Morfonios, Christian V.; Kalozoumis, P. A.; Diakonos, F. K.; Schmelcher, P. Nonlocal discrete continuity and invariant currents in locally symmetric effective Schrödinger arrays. (English) Zbl 1372.82025 Ann. Phys. 385, 623-649 (2017). MSC: 82C10 82C20 39A12 81Q05 81Q37 PDF BibTeX XML Cite \textit{C. V. Morfonios} et al., Ann. Phys. 385, 623--649 (2017; Zbl 1372.82025) Full Text: DOI arXiv
Kanki, Kazuki; Garmon, Savannah; Tanaka, Satoshi; Petrosky, Tomio Exact description of coalescing eigenstates in open quantum systems in terms of microscopic Hamiltonian dynamics. (English) Zbl 1372.81102 J. Math. Phys. 58, No. 9, 092101, 18 p. (2017). MSC: 81S22 81Q12 47B15 PDF BibTeX XML Cite \textit{K. Kanki} et al., J. Math. Phys. 58, No. 9, 092101, 18 p. (2017; Zbl 1372.81102) Full Text: DOI arXiv
Banerjee, Abhijit On the quantum mechanics of bicomplex Hamiltonian system. (English) Zbl 1368.30022 Ann. Phys. 377, 493-505 (2017). MSC: 30G35 35J10 81Q12 PDF BibTeX XML Cite \textit{A. Banerjee}, Ann. Phys. 377, 493--505 (2017; Zbl 1368.30022) Full Text: DOI
Garmon, Savannah; Ordonez, Gonzalo Characteristic dynamics near two coalescing eigenvalues incorporating continuum threshold effects. (English) Zbl 1418.81098 J. Math. Phys. 58, No. 6, 062101, 27 p. (2017). MSC: 81V45 81V35 81U99 81S22 81Q05 35B34 PDF BibTeX XML Cite \textit{S. Garmon} and \textit{G. Ordonez}, J. Math. Phys. 58, No. 6, 062101, 27 p. (2017; Zbl 1418.81098) Full Text: DOI arXiv
Gorbatsevich, A. A.; Shubin, N. M. Coalescence of resonances in dissipationless resonant tunneling structures and \(\mathcal{PT}\)-symmetry breaking. (English) Zbl 1364.81156 Ann. Phys. 376, 353-371 (2017). MSC: 81R40 81Q12 81S22 PDF BibTeX XML Cite \textit{A. A. Gorbatsevich} and \textit{N. M. Shubin}, Ann. Phys. 376, 353--371 (2017; Zbl 1364.81156) Full Text: DOI
Kanki, Kazuki; Hashimoto, Kazunari; Petrosky, Tomio; Tanaka, Satoshi Spontaneous breakdown of a PT-symmetry in the Liouvillian dynamics at a non-Hermitian degeneracy point. (English) Zbl 1402.81136 Bagarello, Fabio (ed.) et al., Non-Hermitian Hamiltonians in quantum physics. Selected contributions from the 15th international conference on non-Hermitian Hamiltonians in quantum physics, Palermo, Italy, May 18–23, 2015. Cham: Springer (ISBN 978-3-319-31354-2/hbk; 978-3-319-31356-6/ebook). Springer Proceedings in Physics 184, 289-304 (2016). MSC: 81Q05 81Q12 81R05 PDF BibTeX XML Cite \textit{K. Kanki} et al., Springer Proc. Phys. 184, 289--304 (2016; Zbl 1402.81136) Full Text: DOI
Heiss, W. Dieter Some features of exceptional points. (English) Zbl 1402.81255 Bagarello, Fabio (ed.) et al., Non-Hermitian Hamiltonians in quantum physics. Selected contributions from the 15th international conference on non-Hermitian Hamiltonians in quantum physics, Palermo, Italy, May 18–23, 2015. Cham: Springer (ISBN 978-3-319-31354-2/hbk; 978-3-319-31356-6/ebook). Springer Proceedings in Physics 184, 281-288 (2016). MSC: 81U05 PDF BibTeX XML Cite \textit{W. D. Heiss}, Springer Proc. Phys. 184, 281--288 (2016; Zbl 1402.81255) Full Text: DOI
Benzi, Michele Localization in matrix computations: theory and applications. (English) Zbl 1361.65027 Benzi, Michele (ed.) et al., Exploiting hidden structure in matrix computations: algorithms and applications. Cetraro, Italy, June 22–26, 2015. Lecture notes given at the summer course. Cham: Springer; Florence: Fondazione CIME (ISBN 978-3-319-49886-7/pbk; 978-3-319-49887-4/ebook). Lecture Notes in Mathematics 2173. CIME Foundation Subseries, 211-317 (2016). MSC: 65F60 15A16 15A23 65Y20 PDF BibTeX XML Cite \textit{M. Benzi}, Lect. Notes Math. 2173, 211--317 (2016; Zbl 1361.65027) Full Text: DOI
Chen, Zheng-Li; Liang, Li-Li; Li, Hao-Jing; Wang, Wen-Hua Two generalized Wigner-Yanase skew information and their uncertainty relations. (English) Zbl 1357.81008 Quantum Inf. Process. 15, No. 12, 5107-5118 (2016). MSC: 81P05 81P15 81R05 81P45 94A17 PDF BibTeX XML Cite \textit{Z.-L. Chen} et al., Quantum Inf. Process. 15, No. 12, 5107--5118 (2016; Zbl 1357.81008) Full Text: DOI
Kirikchi, Omar B.; Bachtiar, Alhaji A.; Susanto, Hadi Bright solitons in a \(\mathcal{P} \mathcal{T}\)-symmetric chain of dimers. (English) Zbl 1362.39011 Adv. Math. Phys. 2016, Article ID 9514230, 12 p. (2016). MSC: 39A12 34A33 39A30 35Q55 35Q51 35B44 PDF BibTeX XML Cite \textit{O. B. Kirikchi} et al., Adv. Math. Phys. 2016, Article ID 9514230, 12 p. (2016; Zbl 1362.39011) Full Text: DOI arXiv
Jarosz, Stefânia; Vaz, Jayme jun. Fractional Schrödinger equation with Riesz-Feller derivative for delta potentials. (English) Zbl 1353.81043 J. Math. Phys. 57, No. 12, 123506, 16 p. (2016). MSC: 81Q05 26A33 46F10 PDF BibTeX XML Cite \textit{S. Jarosz} and \textit{J. Vaz jun.}, J. Math. Phys. 57, No. 12, 123506, 16 p. (2016; Zbl 1353.81043) Full Text: DOI
Brown, J. M.; Jakobsen, P.; Bahl, A.; Moloney, J. V.; Kolesik, M. On the convergence of quantum resonant-state expansion. (English) Zbl 1333.81416 J. Math. Phys. 57, No. 3, 032105, 13 p. (2016). MSC: 81U05 81Q15 81U30 35B34 46F10 PDF BibTeX XML Cite \textit{J. M. Brown} et al., J. Math. Phys. 57, No. 3, 032105, 13 p. (2016; Zbl 1333.81416) Full Text: DOI
Am-Shallem, Morag; Kosloff, Ronnie; Moiseyev, Nimrod Exceptional points for parameter estimation in open quantum systems: analysis of the Bloch equations. (English) Zbl 1452.81139 New J. Phys. 17, No. 11, Article ID 113036, 12 p. (2015). MSC: 81S22 81P45 81P50 PDF BibTeX XML Cite \textit{M. Am-Shallem} et al., New J. Phys. 17, No. 11, Article ID 113036, 12 p. (2015; Zbl 1452.81139) Full Text: DOI arXiv
Zhang, Zhaozhong; Jiang, Ziwu; Jiang, Tongsong Algebraic methods for least squares problem in split quaternionic mechanics. (English) Zbl 1410.65118 Appl. Math. Comput. 269, 618-625 (2015). MSC: 65F20 15A24 15B33 PDF BibTeX XML Cite \textit{Z. Zhang} et al., Appl. Math. Comput. 269, 618--625 (2015; Zbl 1410.65118) Full Text: DOI
Margalli, Carlos A.; Vergara, J. David Hidden gauge symmetry in holomorphic models. (English) Zbl 1364.81119 Phys. Lett., A 379, No. 39, 2434-2440 (2015). MSC: 81Q10 81S99 PDF BibTeX XML Cite \textit{C. A. Margalli} and \textit{J. D. Vergara}, Phys. Lett., A 379, No. 39, 2434--2440 (2015; Zbl 1364.81119) Full Text: DOI arXiv
Znojil, Miloslav Non-Hermitian Heisenberg representation. (English) Zbl 1364.81125 Phys. Lett., A 379, No. 36, 2013-2017 (2015). MSC: 81Q12 PDF BibTeX XML Cite \textit{M. Znojil}, Phys. Lett., A 379, No. 36, 2013--2017 (2015; Zbl 1364.81125) Full Text: DOI arXiv
Gomez, Ignacio; Castagnino, Mario A quantum version of spectral decomposition theorem of dynamical systems, quantum chaos hierarchy: ergodic, mixing and exact. (English) Zbl 1351.37025 Chaos Solitons Fractals 70, 99-116 (2015). MSC: 37A30 37A50 81Q10 PDF BibTeX XML Cite \textit{I. Gomez} and \textit{M. Castagnino}, Chaos Solitons Fractals 70, 99--116 (2015; Zbl 1351.37025) Full Text: DOI arXiv
Amore, Paolo; Fernández, Francisco M.; Garcia, Javier Non-Hermitian oscillators with \(T_d\) symmetry. (English) Zbl 1343.81095 Ann. Phys. 353, 238-251 (2015). MSC: 81Q12 81Q15 PDF BibTeX XML Cite \textit{P. Amore} et al., Ann. Phys. 353, 238--251 (2015; Zbl 1343.81095) Full Text: DOI arXiv
Tanaka, Atushi; Cheon, Taksu Bloch vector, disclination and exotic quantum holonomy. (English) Zbl 1343.81124 Phys. Lett., A 379, No. 30-31, 1693-1698 (2015). MSC: 81Q70 PDF BibTeX XML Cite \textit{A. Tanaka} and \textit{T. Cheon}, Phys. Lett., A 379, No. 30--31, 1693--1698 (2015; Zbl 1343.81124) Full Text: DOI arXiv
Brown, Jeffrey M.; Kolesik, Miroslav Properties of Stark resonant states in exactly solvable systems. (English) Zbl 1337.81060 Adv. Math. Phys. 2015, Article ID 125832, 11 p. (2015). MSC: 81Q10 81Q80 33C10 PDF BibTeX XML Cite \textit{J. M. Brown} and \textit{M. Kolesik}, Adv. Math. Phys. 2015, Article ID 125832, 11 p. (2015; Zbl 1337.81060) Full Text: DOI