Cariñena, José F.; Guha, Partha; Rañada, Manuel F. Painlevé equations, integrable systems and the stabilizer set of Virasoro orbit. (English) Zbl 1520.34014 Rev. Math. Phys. 35, No. 7, Article ID 2330004, 43 p. (2023). MSC: 34A26 34A34 35Q53 PDFBibTeX XMLCite \textit{J. F. Cariñena} et al., Rev. Math. Phys. 35, No. 7, Article ID 2330004, 43 p. (2023; Zbl 1520.34014) Full Text: DOI
Nikitin, A. G. Superintegrable quantum mechanical systems with position dependent masses invariant with respect to two parametric Lie groups. (English) Zbl 07738174 J. Phys. A, Math. Theor. 56, No. 39, Article ID 395203, 19 p. (2023). MSC: 81Q05 35Q41 70G65 PDFBibTeX XMLCite \textit{A. G. Nikitin}, J. Phys. A, Math. Theor. 56, No. 39, Article ID 395203, 19 p. (2023; Zbl 07738174) Full Text: DOI arXiv
Haas, Fernando Noether symmetries and conservation laws of a reduced gauged bilayer graphene model. (English) Zbl 07735696 Phys. Lett., A 482, Article ID 129034, 6 p. (2023). MSC: 82D80 35Q41 81Q60 81T13 PDFBibTeX XMLCite \textit{F. Haas}, Phys. Lett., A 482, Article ID 129034, 6 p. (2023; Zbl 07735696) Full Text: DOI arXiv
Paliathanasis, Andronikos One-dimensional optimal system and similarity transformations for the \(3+1\) Kudryashov-Sinelshchikov equation. (English) Zbl 07715003 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 3, 831-846 (2023). MSC: 37-XX 35-XX PDFBibTeX XMLCite \textit{A. Paliathanasis}, Int. J. Nonlinear Sci. Numer. Simul. 24, No. 3, 831--846 (2023; Zbl 07715003) Full Text: DOI
Quesne, C. Quasi-exactly solvable extensions of the Kepler-Coulomb potential on the sphere. (English) Zbl 1521.81073 Ann. Phys. 451, Article ID 169265, 20 p. (2023). MSC: 81Q05 78A25 55Q45 81Q80 81Q60 70H45 22E70 35P10 PDFBibTeX XMLCite \textit{C. Quesne}, Ann. Phys. 451, Article ID 169265, 20 p. (2023; Zbl 1521.81073) Full Text: DOI arXiv
Bagchi, Bijan; Ghosh, Rahul; Quesne, Christiane \(\mathrm{so}(2, 1)\) algebra, local Fermi velocity, and position-dependent mass Dirac equation. (English) Zbl 1519.81176 J. Phys. A, Math. Theor. 55, No. 37, Article ID 375204, 12 p. (2022). MSC: 81Q05 35Q41 70H05 70H15 PDFBibTeX XMLCite \textit{B. Bagchi} et al., J. Phys. A, Math. Theor. 55, No. 37, Article ID 375204, 12 p. (2022; Zbl 1519.81176) Full Text: DOI arXiv
Mustafa, Omar Confined Klein-Gordon oscillators in Minkowski spacetime and a pseudo-Minkowski spacetime with a space-like dislocation: PDM KG-oscillators, isospectrality and invariance. (English) Zbl 1515.81146 Ann. Phys. 446, Article ID 169124, 16 p. (2022). MSC: 81R20 83A05 35B05 35Q41 51B20 47A10 14F18 PDFBibTeX XMLCite \textit{O. Mustafa}, Ann. Phys. 446, Article ID 169124, 16 p. (2022; Zbl 1515.81146) Full Text: DOI arXiv
Dong, Shi-Hai; Najafizade, Amene; Panahi, Hossein; Chung, Won Sang; Hassanabadi, Hassan Superintegrability on the Dunkl oscillator model in three-dimensional spaces of constant curvature. (English) Zbl 1502.81041 Ann. Phys. 444, Article ID 169014, 17 p. (2022). MSC: 81Q80 35B05 35J93 17B15 42A85 51F15 81R10 81Q12 33C45 47A10 PDFBibTeX XMLCite \textit{S.-H. Dong} et al., Ann. Phys. 444, Article ID 169014, 17 p. (2022; Zbl 1502.81041) Full Text: DOI arXiv
Paliathanasis, Andronikos Lie symmetries and similarity solutions for a family of 1+1 fifth-order partial differential equations. (English) Zbl 1515.35233 Quaest. Math. 45, No. 7, 1099-1114 (2022). MSC: 35Q51 35A22 35A09 35C07 35C08 35B06 PDFBibTeX XMLCite \textit{A. Paliathanasis}, Quaest. Math. 45, No. 7, 1099--1114 (2022; Zbl 1515.35233) Full Text: DOI arXiv
da Costa, Bruno G.; da Silva, Genilson A. C.; Gomez, Ignacio S. Supersymmetric quantum mechanics and coherent states for a deformed oscillator with position-dependent effective mass. (English) Zbl 1500.81039 J. Math. Phys. 62, No. 9, Article ID 092101, 20 p. (2021). MSC: 81Q60 35Q41 14D15 81R30 35P10 81S07 37J12 PDFBibTeX XMLCite \textit{B. G. da Costa} et al., J. Math. Phys. 62, No. 9, Article ID 092101, 20 p. (2021; Zbl 1500.81039) Full Text: DOI arXiv
Jafarov, E. I.; Nagiyev, S. M. Angular part of the Schrödinger equation for the Hautot potential as a harmonic oscillator with a coordinate-dependent mass in a uniform gravitational field. (English. Russian original) Zbl 1467.81035 Theor. Math. Phys. 207, No. 1, 447-458 (2021); translation from Teor. Mat. Fiz. 207, No. 1, 58-71 (2021). MSC: 81Q05 81V17 33C45 35Q41 35P05 PDFBibTeX XMLCite \textit{E. I. Jafarov} and \textit{S. M. Nagiyev}, Theor. Math. Phys. 207, No. 1, 447--458 (2021; Zbl 1467.81035); translation from Teor. Mat. Fiz. 207, No. 1, 58--71 (2021) Full Text: DOI
Gomez, Ignacio S.; Borges, Ernesto P. Algebraic structures and position-dependent mass Schrödinger equation from group entropy theory. (English) Zbl 1477.94039 Lett. Math. Phys. 111, No. 2, Paper No. 43, 25 p. (2021); correction ibid. 111, No. 3, Paper No. 69, 1 p. (2021). MSC: 94A17 20A99 81Q65 82B03 35J10 PDFBibTeX XMLCite \textit{I. S. Gomez} and \textit{E. P. Borges}, Lett. Math. Phys. 111, No. 2, Paper No. 43, 25 p. (2021; Zbl 1477.94039) Full Text: DOI
Bayındır, Cihan; Altintas, Azmi Ali; Ozaydin, Fatih Self-localized solitons of a \(q\)-deformed quantum system. (English) Zbl 1453.35160 Commun. Nonlinear Sci. Numer. Simul. 92, Article ID 105474, 14 p. (2021). MSC: 35Q55 35Q41 35C08 35B35 35B44 65N35 65L06 60H40 81Q05 PDFBibTeX XMLCite \textit{C. Bayındır} et al., Commun. Nonlinear Sci. Numer. Simul. 92, Article ID 105474, 14 p. (2021; Zbl 1453.35160) Full Text: DOI arXiv
Jafarov, E. I.; Nagiyev, S. M.; Oste, R.; Van der Jeugt, J. Exact solution of the position-dependent effective mass and angular frequency Schrödinger equation: harmonic oscillator model with quantized confinement parameter. (English) Zbl 1519.81186 J. Phys. A, Math. Theor. 53, No. 48, Article ID 485301, 14 p. (2020). MSC: 81Q05 35J10 81R05 PDFBibTeX XMLCite \textit{E. I. Jafarov} et al., J. Phys. A, Math. Theor. 53, No. 48, Article ID 485301, 14 p. (2020; Zbl 1519.81186) Full Text: DOI arXiv
El-Nabulsi, Rami Ahmad Nonlinear wave equation in an inhomogeneous medium from non-standard singular Lagrangians functional with two occurrences of integrals. (English) Zbl 07446869 Int. J. Nonlinear Sci. Numer. Simul. 21, No. 7-8, 761-766 (2020). MSC: 35-XX 65-XX PDFBibTeX XMLCite \textit{R. A. El-Nabulsi}, Int. J. Nonlinear Sci. Numer. Simul. 21, No. 7--8, 761--766 (2020; Zbl 07446869) Full Text: DOI
Yurduşen, İsmet \(N^{th}\)-order superintegrable systems separating in polar coordinates. (English) Zbl 1477.35197 Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 21st international conference on geometry, integrability and quantization, Varna, Bulgaria, June 3–8, 2019. Sofia: Avangard Prima; Sofia: Bulgarian Academy of Sciences, Institute of Biophysics and Biomedical Engineering. Geom. Integrability Quantization 21, 334-348 (2020). MSC: 35Q40 81R12 PDFBibTeX XMLCite \textit{İ. Yurduşen}, Geom. Integrability Quantization 21, 334--348 (2020; Zbl 1477.35197) Full Text: DOI
Berntson, Bjorn K.; Kalnins, Ernest G.; Miller Jr., Willard Toward classification of 2nd order superintegrable systems in 3-dimensional conformally flat spaces with functionally linearly dependent symmetry operators. (English) Zbl 1470.35022 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 135, 33 p. (2020). MSC: 35B06 35A30 37K10 70H06 70H20 81Q80 81R12 PDFBibTeX XMLCite \textit{B. K. Berntson} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 135, 33 p. (2020; Zbl 1470.35022) Full Text: DOI arXiv
da Costa, Bruno G.; Gomez, Ignacio S.; Portesi, Mariela \( \kappa\)-deformed quantum and classical mechanics for a system with position-dependent effective mass. (English) Zbl 1454.81059 J. Math. Phys. 61, No. 8, 082105, 17 p. (2020). MSC: 81Q05 35Q41 70H05 14D15 70H15 PDFBibTeX XMLCite \textit{B. G. da Costa} et al., J. Math. Phys. 61, No. 8, 082105, 17 p. (2020; Zbl 1454.81059) Full Text: DOI arXiv
Ullah, Kamran The occurrence of multistability and normal mode splitting in an optomechanical system. (English) Zbl 1476.81179 Phys. Lett., A 383, No. 25, 3074-3079 (2019). MSC: 81V80 78A60 35Q41 82D80 42A38 PDFBibTeX XMLCite \textit{K. Ullah}, Phys. Lett., A 383, No. 25, 3074--3079 (2019; Zbl 1476.81179) Full Text: DOI
Plyushchay, Mikhail S. Nonlinear supersymmetry as a hidden symmetry. (English) Zbl 1427.81043 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., 163-186 (2019). MSC: 81Q60 35Q55 PDFBibTeX XMLCite \textit{M. S. Plyushchay}, 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. 163--186 (2019; Zbl 1427.81043) Full Text: DOI arXiv
Fernández C., David J. Trends in supersymmetric quantum mechanics. (English) Zbl 1425.81045 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., 37-68 (2019). MSC: 81Q60 81V70 81R30 34M55 35R03 47A68 81Q80 82D80 PDFBibTeX XMLCite \textit{D. J. Fernández C.}, 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. 37--68 (2019; Zbl 1425.81045) Full Text: DOI arXiv
Cariñena, J. F.; Grabowski, J.; de Lucas, J. Quasi-Lie schemes for PDEs. (English) Zbl 1423.35012 Int. J. Geom. Methods Mod. Phys. 16, No. 7, Article ID 1950096, 36 p. (2019). MSC: 35A30 17B66 22E70 37K35 81T10 81T40 81R12 PDFBibTeX XMLCite \textit{J. F. Cariñena} et al., Int. J. Geom. Methods Mod. Phys. 16, No. 7, Article ID 1950096, 36 p. (2019; Zbl 1423.35012) Full Text: DOI arXiv
Mahdifar, A.; Amooghorban, E. Free particle and isotropic harmonic oscillator on a spheroidal surface: the Higgs-like approach. (English) Zbl 1421.81047 J. Math. Phys. 60, No. 8, 082106, 11 p. (2019). MSC: 81Q35 81Q05 35P05 PDFBibTeX XMLCite \textit{A. Mahdifar} and \textit{E. Amooghorban}, J. Math. Phys. 60, No. 8, 082106, 11 p. (2019; Zbl 1421.81047) Full Text: DOI arXiv
Chen, Min-Ru; Chen, Ying; Yan, Zhao-Wen; Mei, Jian-Qin; Wang, Xiao-Li A 3-Lie algebra and the dKP hierarchy. (English) Zbl 1417.37228 J. Nonlinear Math. Phys. 26, No. 1, 91-97 (2019). MSC: 37K10 35Q53 PDFBibTeX XMLCite \textit{M.-R. Chen} et al., J. Nonlinear Math. Phys. 26, No. 1, 91--97 (2019; Zbl 1417.37228) Full Text: DOI
Escobar-Ruiz, Adrian M.; Vieyra, J. C. López; Winternitz, P.; Yurduşen, İ Fourth-order superintegrable systems separating in polar coordinates. II: Standard potentials. (English) Zbl 1410.35153 J. Phys. A, Math. Theor. 51, No. 45, Article ID 455202, 24 p. (2018). MSC: 35Q40 81R12 37K10 PDFBibTeX XMLCite \textit{A. M. Escobar-Ruiz} et al., J. Phys. A, Math. Theor. 51, No. 45, Article ID 455202, 24 p. (2018; Zbl 1410.35153) Full Text: DOI arXiv
Faraci, Francesca; Farkas, Csaba; Kristály, Alexandru Multipolar Hardy inequalities on Riemannian manifolds. (English) Zbl 1408.53052 ESAIM, Control Optim. Calc. Var. 24, No. 2, 551-567 (2018). MSC: 53C21 35J10 35J20 PDFBibTeX XMLCite \textit{F. Faraci} et al., ESAIM, Control Optim. Calc. Var. 24, No. 2, 551--567 (2018; Zbl 1408.53052) Full Text: DOI arXiv Link
Atakishiyev, Natig M.; Pogosyan, George S.; Wolf, Kurt Bernardo; Yakhno, Alexander Elliptic basis for the Zernike system: Heun function solutions. (English) Zbl 1401.78002 J. Math. Phys. 59, No. 7, 073503, 15 p. (2018). Reviewer: Vladimir Čadež (Beograd) MSC: 78A05 35A18 33C45 81V45 PDFBibTeX XMLCite \textit{N. M. Atakishiyev} et al., J. Math. Phys. 59, No. 7, 073503, 15 p. (2018; Zbl 1401.78002) Full Text: DOI
El-Nabulsi, R. A. Non-standard higher-order \(G\)-strand partial differential equations on matrix Lie algebra. (English) Zbl 1474.17039 J. Niger. Math. Soc. 36, No. 1, 101-112 (2017). MSC: 17B66 35Q05 70S05 PDFBibTeX XMLCite \textit{R. A. El-Nabulsi}, J. Niger. Math. Soc. 36, No. 1, 101--112 (2017; Zbl 1474.17039) Full Text: Link
Escobar-Ruiz, A. M.; López Vieyra, J. C.; Winternitz, P. Fourth order superintegrable systems separating in polar coordinates. I: Exotic potentials. (English) Zbl 1394.35385 J. Phys. A, Math. Theor. 50, No. 49, Article ID 495206, 35 p. (2017); corrigendum ibid. 52, No. 1, Article ID 019501, 2 p. (2019). MSC: 35Q40 81R12 PDFBibTeX XMLCite \textit{A. M. Escobar-Ruiz} et al., J. Phys. A, Math. Theor. 50, No. 49, Article ID 495206, 35 p. (2017; Zbl 1394.35385) Full Text: DOI arXiv
Karthiga, S.; Chithiika Ruby, V.; Senthilvelan, M.; Lakshmanan, M. Quantum solvability of a general ordered position dependent mass system: Mathews-Lakshmanan oscillator. (English) Zbl 1373.81201 J. Math. Phys. 58, No. 10, 102110, 14 p. (2017). MSC: 81Q05 81Q80 35Q41 81Q10 81Q12 33C55 42C10 PDFBibTeX XMLCite \textit{S. Karthiga} et al., J. Math. Phys. 58, No. 10, 102110, 14 p. (2017; Zbl 1373.81201) Full Text: DOI arXiv
Pogosyan, George S.; Wolf, Kurt Bernardo; Yakhno, Alexander Superintegrable classical Zernike system. (English) Zbl 1426.35195 J. Math. Phys. 58, No. 7, 072901, 14 p. (2017). MSC: 35Q41 81R12 PDFBibTeX XMLCite \textit{G. S. Pogosyan} et al., J. Math. Phys. 58, No. 7, 072901, 14 p. (2017; Zbl 1426.35195) Full Text: DOI arXiv
de León, M.; Sardón, C. Cosymplectic and contact structures for time-dependent and dissipative Hamiltonian systems. (English) Zbl 1425.70031 J. Phys. A, Math. Theor. 50, No. 25, Article ID 255205, 23 p. (2017). MSC: 70G45 70H20 37J05 35F25 PDFBibTeX XMLCite \textit{M. de León} and \textit{C. Sardón}, J. Phys. A, Math. Theor. 50, No. 25, Article ID 255205, 23 p. (2017; Zbl 1425.70031) Full Text: DOI arXiv
Cariñena, Jose F.; Herranz, Francisco J.; Rañada, Manuel F. Superintegrable systems on 3-dimensional curved spaces: Eisenhart formalism and separability. (English) Zbl 1406.70026 J. Math. Phys. 58, No. 2, 022701, 27 p. (2017). MSC: 70H06 35Q70 83C10 PDFBibTeX XMLCite \textit{J. F. Cariñena} et al., J. Math. Phys. 58, No. 2, 022701, 27 p. (2017; Zbl 1406.70026) Full Text: DOI arXiv
Gubbiotti, G.; Nucci, M. C. Are all classical superintegrable systems in two-dimensional space linearizable? (English) Zbl 1393.35007 J. Math. Phys. 58, No. 1, 012902, 14 p. (2017). MSC: 35A30 70H06 PDFBibTeX XMLCite \textit{G. Gubbiotti} and \textit{M. C. Nucci}, J. Math. Phys. 58, No. 1, 012902, 14 p. (2017; Zbl 1393.35007) Full Text: DOI arXiv
Estévez, P. G.; Herranz, F. J.; de Lucas, J.; Sardón, C. Lie symmetries for Lie systems: applications to systems of ODEs and PDEs. (English) Zbl 1410.34108 Appl. Math. Comput. 273, 435-452 (2016). MSC: 34C14 35A30 PDFBibTeX XMLCite \textit{P. G. Estévez} et al., Appl. Math. Comput. 273, 435--452 (2016; Zbl 1410.34108) Full Text: DOI arXiv
Dehdashti, Shahram; Mahdifar, Ali; Wang, Huaping Coherent states of position-dependent mass oscillator. (English) Zbl 1361.81066 Int. J. Theor. Phys. 55, No. 8, 3564-3578 (2016). MSC: 81R30 81Q05 35Q41 PDFBibTeX XMLCite \textit{S. Dehdashti} et al., Int. J. Theor. Phys. 55, No. 8, 3564--3578 (2016; Zbl 1361.81066) Full Text: DOI
An, Hongli; Kwong, Man Kam; Zhu, Haixing On multi-component Ermakov systems in a two-layer fluid: integrable Hamiltonian structures and exact vortex solutions. (English) Zbl 1332.35279 Stud. Appl. Math. 136, No. 2, 139-162 (2016). MSC: 35Q35 35Q55 86A05 86A10 PDFBibTeX XMLCite \textit{H. An} et al., Stud. Appl. Math. 136, No. 2, 139--162 (2016; Zbl 1332.35279) Full Text: DOI
Wang, Xiao-Li; Yu, Lu; Yang, Yan-Xin; Chen, Min-Ru On generalized Lax equation of the Lax triple of KP hierarchy. (English) Zbl 1420.37090 J. Nonlinear Math. Phys. 22, No. 2, 194-203 (2015). MSC: 37K10 35Q53 PDFBibTeX XMLCite \textit{X.-L. Wang} et al., J. Nonlinear Math. Phys. 22, No. 2, 194--203 (2015; Zbl 1420.37090) Full Text: DOI
Pupasov-Maksimov, Andrey M. Propagators of isochronous an-harmonic oscillators and Mehler formula for the exceptional Hermite polynomials. (English) Zbl 1360.35216 Ann. Phys. 363, 122-135 (2015). MSC: 35Q41 35A08 35J08 81Q05 35A22 PDFBibTeX XMLCite \textit{A. M. Pupasov-Maksimov}, Ann. Phys. 363, 122--135 (2015; Zbl 1360.35216) Full Text: DOI arXiv
Morris, J. R. New scenarios for classical and quantum mechanical systems with position-dependent mass. (English) Zbl 1326.81069 Quantum Stud. Math. Found. 2, No. 4, 359-370 (2015). MSC: 81Q05 70H03 83E15 35Q55 PDFBibTeX XMLCite \textit{J. R. Morris}, Quantum Stud. Math. Found. 2, No. 4, 359--370 (2015; Zbl 1326.81069) Full Text: DOI arXiv
Schulze-Halberg, Axel; Wang, Jie Two-parameter double-oscillator model of Mathews-Lakshmanan type: series solutions and supersymmetric partners. (English) Zbl 1318.81023 J. Math. Phys. 56, No. 7, 072106, 12 p. (2015). MSC: 81Q10 81Q60 35C10 58J53 PDFBibTeX XMLCite \textit{A. Schulze-Halberg} and \textit{J. Wang}, J. Math. Phys. 56, No. 7, 072106, 12 p. (2015; Zbl 1318.81023) Full Text: DOI
Amir, Naila; Iqbal, Shahid Coherent states for nonlinear harmonic oscillator and some of its properties. (English) Zbl 1317.81153 J. Math. Phys. 56, No. 6, 062108, 10 p. (2015). MSC: 81R30 35Q55 81Q15 PDFBibTeX XMLCite \textit{N. Amir} and \textit{S. Iqbal}, J. Math. Phys. 56, No. 6, 062108, 10 p. (2015; Zbl 1317.81153) Full Text: DOI
Bagchi, B.; Ghose Choudhury, A.; Guha, Partha On quantized Liénard oscillator and momentum dependent mass. (English) Zbl 1305.81075 J. Math. Phys. 56, No. 1, 012105, 7 p. (2015). MSC: 81Q05 35Q55 81Q10 81U15 33C15 PDFBibTeX XMLCite \textit{B. Bagchi} et al., J. Math. Phys. 56, No. 1, 012105, 7 p. (2015; Zbl 1305.81075) Full Text: DOI arXiv
Chithiika Ruby, V.; Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M. Removal of ordering ambiguity for a class of position dependent mass quantum systems with an application to the quadratic Liénard type nonlinear oscillators. (English) Zbl 1308.81074 J. Math. Phys. 56, No. 1, 012103, 20 p. (2015). Reviewer: Josipa Pina Milisic (Zagreb) MSC: 81Q05 81Q10 81Q12 81U15 35Q55 37K10 37K15 PDFBibTeX XMLCite \textit{V. Chithiika Ruby} et al., J. Math. Phys. 56, No. 1, 012103, 20 p. (2015; Zbl 1308.81074) Full Text: DOI arXiv
Bahar, M. K.; Yasuk, F. Relativistic solutions for the spin-1 particles in the two-dimensional Smorodinsky-Winternitz potential. (English) Zbl 1343.81064 Ann. Phys. 344, 105-117 (2014). MSC: 81Q05 35Q40 70H40 33C45 33C90 PDFBibTeX XMLCite \textit{M. K. Bahar} and \textit{F. Yasuk}, Ann. Phys. 344, 105--117 (2014; Zbl 1343.81064) Full Text: DOI
Amir, Naila; Iqbal, Shahid Comment on “Coherent states for the nonlinear harmonic oscillator” [J. Math. Phys. 53, 062104 (2012)]. (English) Zbl 1301.81080 J. Math. Phys. 55, No. 11, 114101, 4 p. (2014). MSC: 81R30 81Q05 35Q55 81S05 PDFBibTeX XMLCite \textit{N. Amir} and \textit{S. Iqbal}, J. Math. Phys. 55, No. 11, 114101, 4 p. (2014; Zbl 1301.81080) Full Text: DOI
Rañada, Manuel F. A quantum quasi-harmonic nonlinear oscillator with an isotonic term. (English) Zbl 1295.81061 J. Math. Phys. 55, No. 8, 082108, 12 p. (2014). MSC: 81Q05 35Q55 81Q10 81U15 70K30 81S05 PDFBibTeX XMLCite \textit{M. F. Rañada}, J. Math. Phys. 55, No. 8, 082108, 12 p. (2014; Zbl 1295.81061) Full Text: DOI arXiv Link
Cariñena, J. F.; Grabowski, J.; de Lucas, J.; Sardón, C. Dirac-Lie systems and Schwarzian equations. (English) Zbl 1302.34011 J. Differ. Equations 257, No. 7, 2303-2340 (2014). Reviewer: Rutwig Campoamor-Stursberg (Madrid) MSC: 34A26 17B81 35Q53 PDFBibTeX XMLCite \textit{J. F. Cariñena} et al., J. Differ. Equations 257, No. 7, 2303--2340 (2014; Zbl 1302.34011) Full Text: DOI arXiv
El-Nabulsi, R. A. Generalizations of the Klein-Gordon and the Dirac equations from non-standard Lagrangians. (English) Zbl 1330.35364 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 83, No. 4, 383-387 (2013). MSC: 35Q41 35Q53 35Q40 PDFBibTeX XMLCite \textit{R. A. El-Nabulsi}, Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 83, No. 4, 383--387 (2013; Zbl 1330.35364) Full Text: DOI
Schulze-Halberg, Axel; Roy, Barnana Rational extension and Jacobi-type \(X_{m}\) solutions of a quantum nonlinear oscillator. (English) Zbl 1286.81083 J. Math. Phys. 54, No. 12, 122104, 12 p. (2013). MSC: 81Q10 35Q55 81U15 33C45 PDFBibTeX XMLCite \textit{A. Schulze-Halberg} and \textit{B. Roy}, J. Math. Phys. 54, No. 12, 122104, 12 p. (2013; Zbl 1286.81083) Full Text: DOI arXiv
Schulze-Halberg, A.; Morris, J. R. An exactly solvable three-dimensional nonlinear quantum oscillator. (English) Zbl 1287.81048 J. Math. Phys. 54, No. 11, 112107, 17 p. (2013). Reviewer: Aurelian Gheondea (Bucureşti) MSC: 81Q10 35Q55 81U15 42C10 PDFBibTeX XMLCite \textit{A. Schulze-Halberg} and \textit{J. R. Morris}, J. Math. Phys. 54, No. 11, 112107, 17 p. (2013; Zbl 1287.81048) Full Text: DOI arXiv
Marquette, Ian; Quesne, Christiane New ladder operators for a rational extension of the harmonic oscillator and superintegrability of some two-dimensional systems. (English) Zbl 1284.81147 J. Math. Phys. 54, No. 10, 102102, 12 p. (2013). MSC: 81Q60 81Q10 35Q55 81R12 PDFBibTeX XMLCite \textit{I. Marquette} and \textit{C. Quesne}, J. Math. Phys. 54, No. 10, 102102, 12 p. (2013; Zbl 1284.81147) Full Text: DOI arXiv Link
Schulze-Halberg, Axel; Gordon, Christopher R. Spectral properties of a confined nonlinear quantum oscillator in one and three dimensions. (English) Zbl 1281.81033 J. Math. Phys. 54, No. 4, 042108, 15 p. (2013). MSC: 81Q05 81Q10 35Q55 81T80 PDFBibTeX XMLCite \textit{A. Schulze-Halberg} and \textit{C. R. Gordon}, J. Math. Phys. 54, No. 4, 042108, 15 p. (2013; Zbl 1281.81033) Full Text: DOI
Bhuvaneswari, A.; Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M. On the complete integrability of a nonlinear oscillator from group theoretical perspective. (English) Zbl 1276.81050 J. Math. Phys. 53, No. 7, 073504, 9 p. (2012). MSC: 81Q05 35Q55 81R12 81T10 70H03 70H06 PDFBibTeX XMLCite \textit{A. Bhuvaneswari} et al., J. Math. Phys. 53, No. 7, 073504, 9 p. (2012; Zbl 1276.81050) Full Text: DOI arXiv
Ghosh, Subir Coherent states for the nonlinear harmonic oscillator. (English) Zbl 1276.81074 J. Math. Phys. 53, No. 6, 062104, 7 p. (2012). MSC: 81R30 81Q05 35Q55 81S05 PDFBibTeX XMLCite \textit{S. Ghosh}, J. Math. Phys. 53, No. 6, 062104, 7 p. (2012; Zbl 1276.81074) Full Text: DOI arXiv
Marquette, Ian Classical ladder operators, polynomial Poisson algebras, and classification of superintegrable systems. (English) Zbl 1273.81075 J. Math. Phys. 53, No. 1, 012901, 12 p. (2012). MSC: 81Q05 81R12 70H06 35R03 17B63 33E17 PDFBibTeX XMLCite \textit{I. Marquette}, J. Math. Phys. 53, No. 1, 012901, 12 p. (2012; Zbl 1273.81075) Full Text: DOI arXiv
Wang, Xue-Hong; Liu, Yu-Bin Factorization method for a class of quantum nonlinear harmonic oscillators. (English) Zbl 1252.81057 Int. J. Theor. Phys. 50, No. 9, 2697-2702 (2011). MSC: 81Q05 81Q10 35Q55 PDFBibTeX XMLCite \textit{X.-H. Wang} and \textit{Y.-B. Liu}, Int. J. Theor. Phys. 50, No. 9, 2697--2702 (2011; Zbl 1252.81057) Full Text: DOI
Rahbar, H.; Pahlavani, M. R.; Sadeghi, J.; Moayyeri, H. Parasupersymmetry of non-linear and isotropic oscillator on constant curvature. (English) Zbl 1171.81387 Int. J. Theor. Phys. 48, No. 7, 2072-2080 (2009). MSC: 81Q60 35Q55 PDFBibTeX XMLCite \textit{H. Rahbar} et al., Int. J. Theor. Phys. 48, No. 7, 2072--2080 (2009; Zbl 1171.81387) Full Text: DOI
Cariñena, José F.; de Lucas, Javier A nonlinear superposition rule for solutions of the Milne-Pinney equation. (English) Zbl 1223.81093 Phys. Lett., A 372, No. 33, 5385-5389 (2008). MSC: 81Q05 35Q55 81V55 34A34 PDFBibTeX XMLCite \textit{J. F. Cariñena} and \textit{J. de Lucas}, Phys. Lett., A 372, No. 33, 5385--5389 (2008; Zbl 1223.81093) Full Text: DOI arXiv
Hernández-Bermejo, Benito Generalization of solutions of the Jacobi PDEs associated to time reparametrizations of Poisson systems. (English) Zbl 1149.35007 J. Math. Anal. Appl. 344, No. 2, 655-666 (2008). Reviewer: Werner M. Seiler (Kassel) MSC: 35A30 70G45 53D17 PDFBibTeX XMLCite \textit{B. Hernández-Bermejo}, J. Math. Anal. Appl. 344, No. 2, 655--666 (2008; Zbl 1149.35007) Full Text: DOI arXiv
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano The quantum harmonic oscillator on the sphere and the hyperbolic plane: \(\kappa\)-dependent formalism, polar coordinates, and hypergeometric functions. (English) Zbl 1152.81363 J. Math. Phys. 48, No. 10, 102106, 13 p. (2007). MSC: 81Q99 81R12 35Q40 PDFBibTeX XMLCite \textit{J. F. Cariñena} et al., J. Math. Phys. 48, No. 10, 102106, 13 p. (2007; Zbl 1152.81363) Full Text: DOI arXiv
Kalnins, E. G.; Miller, W. jun.; Pogosyan, G. S. Exact and quasiexact solvability of second-order superintegrable quantum systems. I: Euclidean space preliminaries. (English) Zbl 1111.81086 J. Math. Phys. 47, No. 3, 033502, 30 p. (2006). MSC: 81R12 35Q40 37J35 81U15 PDFBibTeX XMLCite \textit{E. G. Kalnins} et al., J. Math. Phys. 47, No. 3, 033502, 30 p. (2006; Zbl 1111.81086) Full Text: DOI Link
Kalnins, E. G.; Kress, J. M.; Miller, W. jun. Second order superintegrable systems in conformally flat spaces. III: Three-dimensional classical structure theory. (English) Zbl 1111.37055 J. Math. Phys. 46, No. 10, 103507, 28 p. (2005). MSC: 37K10 35Q40 37J35 81R12 PDFBibTeX XMLCite \textit{E. G. Kalnins} et al., J. Math. Phys. 46, No. 10, 103507, 28 p. (2005; Zbl 1111.37055) Full Text: DOI Link
Kalnins, E. G.; Kress, J. M.; Miller, W. jun. Second order superintegrable systems in conformally flat spaces. II: The classical two-dimensional Stäckel transform. (English) Zbl 1110.37055 J. Math. Phys. 46, No. 5, 053510, 15 p. (2005). MSC: 37K10 35Q40 37J35 81R12 PDFBibTeX XMLCite \textit{E. G. Kalnins} et al., J. Math. Phys. 46, No. 5, 053510, 15 p. (2005; Zbl 1110.37055) Full Text: DOI
Kalnins, E. G.; Kress, J. M.; Miller, W. jun. Second-order superintegrable systems in conformally flat spaces. I: Two-dimensional classical structure theory. (English) Zbl 1110.37054 J. Math. Phys. 46, No. 5, 053509, 28 p. (2005). MSC: 37K10 35Q40 37J35 81R12 PDFBibTeX XMLCite \textit{E. G. Kalnins} et al., J. Math. Phys. 46, No. 5, 053509, 28 p. (2005; Zbl 1110.37054) Full Text: DOI Link