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 PDF BibTeX XML Cite \textit{C. Bayındır} et al., Commun. Nonlinear Sci. Numer. Simul. 92, Article ID 105474, 14 p. (2021; Zbl 1453.35160) Full Text: DOI
Cantuba, Rafael Reno S. Compactness property of Lie polynomials in the creation and annihilation operators of the \(q\)-oscillator. (English) Zbl 07305690 Lett. Math. Phys. 110, No. 10, 2639-2657 (2020). MSC: 17B10 17B15 17B81 17B37 47B07 47B15 47B32 47B37 47B47 47L30 47L90 46H70 81R10 81R50 81R99 PDF BibTeX XML Cite \textit{R. R. S. Cantuba}, Lett. Math. Phys. 110, No. 10, 2639--2657 (2020; Zbl 07305690) Full Text: DOI
Ramakrishna, Satish Algebra, coherent states, generalized Hermite polynomials, and path integrals for fractional statistics – interpolating from fermions to bosons. (English) Zbl 07287284 J. Math. Phys. 61, No. 10, 103301, 28 p. (2020). MSC: 81V27 81V72 15A67 81S05 81T10 81V73 81V74 30H20 PDF BibTeX XML Cite \textit{S. Ramakrishna}, J. Math. Phys. 61, No. 10, 103301, 28 p. (2020; Zbl 07287284) Full Text: DOI
Amir, Naila; Iqbal, Shahid Coherent states of position-dependent mass trapped in an infinite square well. (English) Zbl 07287194 J. Math. Phys. 61, No. 8, 082102, 12 p. (2020). MSC: 81R30 81Q05 35Q41 PDF BibTeX XML Cite \textit{N. Amir} and \textit{S. Iqbal}, J. Math. Phys. 61, No. 8, 082102, 12 p. (2020; Zbl 07287194) Full Text: DOI
Quezada, L. F.; Martín-Ruiz, A.; Frank, A. Quantum phase transition of two-level atoms interacting with a finite radiation field. (English) Zbl 1452.81185 J. Math. Phys. 61, No. 6, 062104, 14 p. (2020). MSC: 81V80 78A60 81R50 PDF BibTeX XML Cite \textit{L. F. Quezada} et al., J. Math. Phys. 61, No. 6, 062104, 14 p. (2020; Zbl 1452.81185) Full Text: DOI
Ostrovska, Sofiya; Turan, Mehmet On the \(q\)-moment determinacy of probability distributions. (English) Zbl 1453.60035 Bull. Malays. Math. Sci. Soc. (2) 43, No. 6, 3885-3896 (2020). MSC: 60E05 30E05 05A30 62E10 PDF BibTeX XML Cite \textit{S. Ostrovska} and \textit{M. Turan}, Bull. Malays. Math. Sci. Soc. (2) 43, No. 6, 3885--3896 (2020; Zbl 1453.60035) Full Text: DOI
Jagannathan, Ramaswamy; Khan, Sameen Ahmed On the deformed oscillator and the deformed derivative associated with the Tsallis \(q\)-exponential. (English) Zbl 1447.81124 Int. J. Theor. Phys. 59, No. 8, 2647-2669 (2020). MSC: 81Q10 14D15 30H20 81R30 81R15 33B10 PDF BibTeX XML Cite \textit{R. Jagannathan} and \textit{S. A. Khan}, Int. J. Theor. Phys. 59, No. 8, 2647--2669 (2020; Zbl 1447.81124) Full Text: DOI
Kanas, S.; Altinkaya, Ş.; Yalçin, S. Subclass of \(k\)-uniformly starlike functions defined by the symmetric \(q\)-derivative operator. (English) Zbl 1435.30048 Ukr. Math. J. 70, No. 11, 1727-1740 (2019) and Ukr. Mat. Zh. 70, No. 11, 1499-1510 (2018). MSC: 30C45 PDF BibTeX XML Cite \textit{S. Kanas} et al., Ukr. Math. J. 70, No. 11, 1727--1740 (2019; Zbl 1435.30048) Full Text: DOI
Frappat, Luc; Gaboriaud, Julien; Ragoucy, Eric; Vinet, Luc The \(q\)-Higgs and Askey-Wilson algebras. (English) Zbl 1430.81042 Nucl. Phys., B 944, Article ID 114632, 13 p. (2019). MSC: 81R50 17B37 17B35 33D45 81Q35 81R05 PDF BibTeX XML Cite \textit{L. Frappat} et al., Nucl. Phys., B 944, Article ID 114632, 13 p. (2019; Zbl 1430.81042) Full Text: DOI
Rosas-Ortiz, Oscar Coherent and squeezed states: introductory review of basic notions, properties, and generalizations. (English) Zbl 1425.81056 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., 187-230 (2019). MSC: 81R30 81V80 81P15 PDF BibTeX XML Cite \textit{O. Rosas-Ortiz}, 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. 187--230 (2019; Zbl 1425.81056) Full Text: DOI
Chung, Won Sang; Algin, Abdullah Modified multi-dimensional \(q\)-deformed Newton oscillators: algebra, interpolating statistics and thermodynamics. (English) Zbl 1425.81047 Ann. Phys. 409, Article ID 167911, 13 p. (2019). MSC: 81R05 81R50 17B37 81V70 PDF BibTeX XML Cite \textit{W. S. Chung} and \textit{A. Algin}, Ann. Phys. 409, Article ID 167911, 13 p. (2019; Zbl 1425.81047) Full Text: DOI
Adli, Fereshteh; Mohammadzadeh, Hosein; Najafi, Morteza Nattagh; Ebadi, Zahra Nonperturbative thermodynamic geometry of nonextensive statistics. (English) Zbl 1426.82023 Int. J. Geom. Methods Mod. Phys. 16, No. 5, Article ID 1950069, 20 p. (2019). MSC: 82B30 82B26 PDF BibTeX XML Cite \textit{F. Adli} et al., Int. J. Geom. Methods Mod. Phys. 16, No. 5, Article ID 1950069, 20 p. (2019; Zbl 1426.82023) Full Text: DOI
Sargolzaeipor, S.; Hassanabadi, H.; Chung, W. S. Study of Schrödinger equation in terms of Heun functions in the commutative vs. non-commutative spaces. (English) Zbl 1418.81024 Mod. Phys. Lett. A 34, No. 23, Article ID 1950183, 8 p. (2019). MSC: 81Q05 81R60 PDF BibTeX XML Cite \textit{S. Sargolzaeipor} et al., Mod. Phys. Lett. A 34, No. 23, Article ID 1950183, 8 p. (2019; Zbl 1418.81024) Full Text: DOI
Chung, Won Sang Parafermion algebra with bilinear relation. (English) Zbl 1416.81078 Mod. Phys. Lett. A 34, No. 20, Article ID 1950160, 15 p. (2019). MSC: 81R10 81Q60 17B37 PDF BibTeX XML Cite \textit{W. S. Chung}, Mod. Phys. Lett. A 34, No. 20, Article ID 1950160, 15 p. (2019; Zbl 1416.81078) Full Text: DOI
Dehghani, A.; Mojaveri, B.; Faseghandis, S. Amiri Photon added coherent states of the parity deformed oscillator. (English) Zbl 1412.81151 Mod. Phys. Lett. A 34, No. 14, Article ID 1950104, 14 p. (2019). MSC: 81R30 81V80 PDF BibTeX XML Cite \textit{A. Dehghani} et al., Mod. Phys. Lett. A 34, No. 14, Article ID 1950104, 14 p. (2019; Zbl 1412.81151) Full Text: DOI
Marinho, Andre A.; Brito, Francisco A. Hermite polynomials and Fibonacci oscillators. (English) Zbl 1406.81015 J. Math. Phys. 60, No. 1, 012101, 9 p. (2019). MSC: 81P50 33C45 11B39 35P05 82D30 PDF BibTeX XML Cite \textit{A. A. Marinho} and \textit{F. A. Brito}, J. Math. Phys. 60, No. 1, 012101, 9 p. (2019; Zbl 1406.81015) Full Text: DOI
Zeng, Qijun; Ge, Jing; Luo, Yongsong Fluctuations of a \(q \)-deformed fermion gas. (English) Zbl 07317006 J. Stat. Mech. Theory Exp. 2018, No. 5, Article ID 053104, 9 p. (2018). MSC: 82 PDF BibTeX XML Cite \textit{Q. Zeng} et al., J. Stat. Mech. Theory Exp. 2018, No. 5, Article ID 053104, 9 p. (2018; Zbl 07317006) Full Text: DOI
Hou, Xu-Yang; Huang, Xun; He, Yan; Guo, Hao \(q\)-deformed fermion in many-particle systems and its application to BCS theory. (English) Zbl 07232614 J. Stat. Mech. Theory Exp. 2018, No. 12, Article ID 123101, 23 p. (2018). MSC: 82 PDF BibTeX XML Cite \textit{X.-Y. Hou} et al., J. Stat. Mech. Theory Exp. 2018, No. 12, Article ID 123101, 23 p. (2018; Zbl 07232614) Full Text: DOI
Chung, Won Sang; Algin, Abdullah Hybrid modeling of quasi-particles: algebra, Fock space and condensation. (English) Zbl 1416.82007 Chaos Solitons Fractals 115, 77-83 (2018). MSC: 82B10 PDF BibTeX XML Cite \textit{W. S. Chung} and \textit{A. Algin}, Chaos Solitons Fractals 115, 77--83 (2018; Zbl 1416.82007) Full Text: DOI
Chung, Won Sang \(\kappa\)-deformed photon and Jaynes-Cummings model. (English) Zbl 1414.81296 Int. J. Theor. Phys. 57, No. 9, 2802-2813 (2018). MSC: 81V80 81S05 PDF BibTeX XML Cite \textit{W. S. Chung}, Int. J. Theor. Phys. 57, No. 9, 2802--2813 (2018; Zbl 1414.81296) 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
Sargolzaeipor, S.; Hassanabadi, H.; Chung, W. S. Effect of the Wigner-Dunkl algebra on the Dirac equation and Dirac harmonic oscillator. (English) Zbl 1393.81019 Mod. Phys. Lett. A 33, No. 25, Article ID 1850146, 6 p. (2018). MSC: 81R50 35Q41 81Q10 PDF BibTeX XML Cite \textit{S. Sargolzaeipor} et al., Mod. Phys. Lett. A 33, No. 25, Article ID 1850146, 6 p. (2018; Zbl 1393.81019) Full Text: DOI
Boumali, Abdelmalek The statistical properties of q-deformed Morse potential for some diatomic molecules via Euler-MacLaurin method in one dimension. (English) Zbl 1393.81036 J. Math. Chem. 56, No. 6, 1656-1666 (2018). MSC: 81V55 81R50 70J10 80A50 82B27 PDF BibTeX XML Cite \textit{A. Boumali}, J. Math. Chem. 56, No. 6, 1656--1666 (2018; Zbl 1393.81036) Full Text: DOI
Gaboriaud, Julien; Vinet, Luc An algebraic interpretation of the \(q\)-Meixner polynomials. (English) Zbl 1390.33034 Ramanujan J. 46, No. 1, 127-149 (2018). MSC: 33D45 81R50 PDF BibTeX XML Cite \textit{J. Gaboriaud} and \textit{L. Vinet}, Ramanujan J. 46, No. 1, 127--149 (2018; Zbl 1390.33034) Full Text: DOI
da Costa, Bruno G.; Borges, Ernesto P. A position-dependent mass harmonic oscillator and deformed space. (English) Zbl 1386.81100 J. Math. Phys. 59, No. 4, 042101, 15 p. (2018). MSC: 81R60 81Q05 35Q41 PDF BibTeX XML Cite \textit{B. G. da Costa} and \textit{E. P. Borges}, J. Math. Phys. 59, No. 4, 042101, 15 p. (2018; Zbl 1386.81100) Full Text: DOI
Sargolzaeipor, S.; Hassanabadi, H.; Chung, W. S. Superstatistics of the Klein-Gordon equation in deformed formalism for modified Dirac delta distribution. (English) Zbl 1386.82030 Mod. Phys. Lett. A 33, No. 10-11, Article ID 1850060, 11 p. (2018). MSC: 82C05 83A05 PDF BibTeX XML Cite \textit{S. Sargolzaeipor} et al., Mod. Phys. Lett. A 33, No. 10--11, Article ID 1850060, 11 p. (2018; Zbl 1386.82030) Full Text: DOI
Zelaya, Kevin; Rosas-Ortiz, Oscar; Blanco-Garcia, Zurika; Cruz y Cruz, Sara Completeness and nonclassicality of coherent states for generalized oscillator algebras. (English) Zbl 1400.81125 Adv. Math. Phys. 2017, Article ID 7168592, 15 p. (2017). MSC: 81R30 46F10 17B81 81V80 PDF BibTeX XML Cite \textit{K. Zelaya} et al., Adv. Math. Phys. 2017, Article ID 7168592, 15 p. (2017; Zbl 1400.81125) Full Text: DOI
Honnouvo, G.; Thirulogasanthar, K. On the dimensions of oscillator-like algebras induced by orthogonal polynomials: nonsymmetric case. (English) Zbl 1384.81049 Rep. Math. Phys. 79, No. 1, 67-79 (2017). MSC: 81R15 33C45 PDF BibTeX XML Cite \textit{G. Honnouvo} and \textit{K. Thirulogasanthar}, Rep. Math. Phys. 79, No. 1, 67--79 (2017; Zbl 1384.81049) Full Text: DOI arXiv
Zhao, Yuefeng; Zeng, Yan; Liu, Honggang; Song, Qi; Wang, Gangcheng; Xue, Kang \(q\)-deformed Barut-Girardello \(\mathrm{su}(1,1)\) coherent states and Schrödinger cat states. (English. Russian original) Zbl 1386.81098 Theor. Math. Phys. 193, No. 3, 1844-1852 (2017); translation from Teor. Mat. Fiz. 193, No. 3, 505-514 (2017). MSC: 81R50 81P40 81R30 81P05 17B37 PDF BibTeX XML Cite \textit{Y. Zhao} et al., Theor. Math. Phys. 193, No. 3, 1844--1852 (2017; Zbl 1386.81098); translation from Teor. Mat. Fiz. 193, No. 3, 505--514 (2017) Full Text: DOI
Berrada, K.; Al-Rajhi, M. A. Information quantifiers, entropy squeezing and entanglement properties of superconducting qubit-deformed bosonic field system under dephasing effect. (English) Zbl 1387.81098 Quantum Inf. Process. 16, No. 10, Paper No. 239, 16 p. (2017). MSC: 81P45 94A17 82D55 81S22 81P40 PDF BibTeX XML Cite \textit{K. Berrada} and \textit{M. A. Al-Rajhi}, Quantum Inf. Process. 16, No. 10, Paper No. 239, 16 p. (2017; Zbl 1387.81098) Full Text: DOI
Fakhri, H.; Sayyah-Fard, M. \(q\)-coherent states associated with the noncommutative complex plane \(\mathbb C_{q^2}\) for the Biedenharn-Macfarlane \(q\)-oscillator. (English) Zbl 1377.81070 Ann. Phys. 387, 14-28 (2017). MSC: 81R50 81R60 81R30 17B37 PDF BibTeX XML Cite \textit{H. Fakhri} and \textit{M. Sayyah-Fard}, Ann. Phys. 387, 14--28 (2017; Zbl 1377.81070) Full Text: DOI
Aleixo, A. N. F.; Balantekin, A. B. Inverse generators in the algebraic description of quantum confined systems: properties and connections with nonlinear quantum deformation process and phase operators. (English) Zbl 1377.81051 J. Math. Phys. 58, No. 12, 122102, 20 p. (2017). MSC: 81Q10 81R15 14D15 81Q70 PDF BibTeX XML Cite \textit{A. N. F. Aleixo} and \textit{A. B. Balantekin}, J. Math. Phys. 58, No. 12, 122102, 20 p. (2017; Zbl 1377.81051) Full Text: DOI
Fakhri, H.; Sayyah-Fard, M. Nonclassical properties of the Arik-Coon \(q^{- 1}\)-oscillator coherent states on the noncommutative complex plane \(\mathbb C_q\). (English) Zbl 1386.81094 Int. J. Geom. Methods Mod. Phys. 14, No. 11, Article ID 1750165, 14 p. (2017). MSC: 81R30 81R60 17B37 81R12 81S05 62J10 81V80 PDF BibTeX XML Cite \textit{H. Fakhri} and \textit{M. Sayyah-Fard}, Int. J. Geom. Methods Mod. Phys. 14, No. 11, Article ID 1750165, 14 p. (2017; Zbl 1386.81094) Full Text: DOI
Zeng, QiJun; Ge, Jing; Luo, Hao; Luo, YongSong Thermal radiation laws of a \(q\)-deformed boson system in \(m\) dimensions. (English) Zbl 1386.83153 Int. J. Theor. Phys. 56, No. 9, 2738-2745 (2017). MSC: 83F05 81R50 83E15 PDF BibTeX XML Cite \textit{Q. Zeng} et al., Int. J. Theor. Phys. 56, No. 9, 2738--2745 (2017; Zbl 1386.83153) Full Text: DOI
Setare, M. R.; Majari, P. The \((2+1)\)-dimensional f-deformed Dirac oscillator in the presence of an external field. (English) Zbl 1378.81030 Int. J. Mod. Phys. A 32, No. 26, Article ID 1750158, 10 p. (2017). MSC: 81Q05 81V80 81Q10 35P05 PDF BibTeX XML Cite \textit{M. R. Setare} and \textit{P. Majari}, Int. J. Mod. Phys. A 32, No. 26, Article ID 1750158, 10 p. (2017; Zbl 1378.81030) Full Text: DOI
Chung, Won Sang; Hassanabadi, Hassan On the \(p\)-deformed fermion algebra: thermodynamics of \(p\)-fermion gas. (English) Zbl 1375.81123 Ann. Phys. 386, 242-253 (2017). MSC: 81R05 82B10 PDF BibTeX XML Cite \textit{W. S. Chung} and \textit{H. Hassanabadi}, Ann. Phys. 386, 242--253 (2017; Zbl 1375.81123) Full Text: DOI
Chung, Won Sang; Algin, Abdullah Duality of boson and fermion: new intermediate-statistics. (English) Zbl 1374.82003 Phys. Lett., A 381, No. 38, 3266-3271 (2017). MSC: 82B10 82D50 81V70 PDF BibTeX XML Cite \textit{W. S. Chung} and \textit{A. Algin}, Phys. Lett., A 381, No. 38, 3266--3271 (2017; Zbl 1374.82003) Full Text: DOI
Genest, Vincent X.; Post, Sarah; Vinet, Luc An algebraic interpretation of the multivariate \(q\)-Krawtchouk polynomials. (English) Zbl 1375.33031 Ramanujan J. 43, No. 2, 415-445 (2017). MSC: 33D45 16T05 PDF BibTeX XML Cite \textit{V. X. Genest} et al., Ramanujan J. 43, No. 2, 415--445 (2017; Zbl 1375.33031) Full Text: DOI arXiv
Algin, Abdullah; Olkun, Ali Bose-Einstein condensation in low dimensional systems with deformed bosons. (English) Zbl 1373.82014 Ann. Phys. 383, 239-256 (2017). MSC: 82B10 PDF BibTeX XML Cite \textit{A. Algin} and \textit{A. Olkun}, Ann. Phys. 383, 239--256 (2017; Zbl 1373.82014) Full Text: DOI
Jayakrishnan, M. P.; Dey, Sanjib; Faizal, Mir; Sudheesh, C. \(q\)-deformed quadrature operator and optical tomogram. (English) Zbl 1372.81032 Ann. Phys. 385, 584-590 (2017). MSC: 81P50 81R30 41A55 PDF BibTeX XML Cite \textit{M. P. Jayakrishnan} et al., Ann. Phys. 385, 584--590 (2017; Zbl 1372.81032) Full Text: DOI
Boumali, Abdelmalek; Hassanabadi, Hassan The statistical properties of the \(q\)-deformed Dirac oscillator in one and two dimensions. (English) Zbl 1370.81056 Adv. High Energy Phys. 2017, Article ID 9371391, 12 p. (2017). MSC: 81Q05 81Q65 PDF BibTeX XML Cite \textit{A. Boumali} and \textit{H. Hassanabadi}, Adv. High Energy Phys. 2017, Article ID 9371391, 12 p. (2017; Zbl 1370.81056) Full Text: DOI
Sobhani, Hadi; Chung, Won Sang; Hassanabadi, Hassan \(q\)-deformed relativistic fermion scattering. (English) Zbl 1366.81186 Adv. High Energy Phys. 2017, Article ID 9530874, 9 p. (2017). MSC: 81Q65 81U05 PDF BibTeX XML Cite \textit{H. Sobhani} et al., Adv. High Energy Phys. 2017, Article ID 9530874, 9 p. (2017; Zbl 1366.81186) Full Text: DOI arXiv
Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei Tridiagonal representations of the \(q\)-oscillator algebra and Askey-Wilson polynomials. (English) Zbl 1368.81074 J. Phys. A, Math. Theor. 50, No. 23, Article ID 235202, 15 p. (2017). MSC: 81Q10 17B81 33C45 33D45 47B36 PDF BibTeX XML Cite \textit{S. Tsujimoto} et al., J. Phys. A, Math. Theor. 50, No. 23, Article ID 235202, 15 p. (2017; Zbl 1368.81074) Full Text: DOI arXiv
Algin, Abdullah; Arik, Metin; Senay, Mustafa; Topcu, Gozde Thermostatistics of bosonic and fermionic Fibonacci oscillators. (English) Zbl 1355.82005 Int. J. Mod. Phys. B 31, No. 1, Article ID 1650247, 20 p. (2017). MSC: 82B10 PDF BibTeX XML Cite \textit{A. Algin} et al., Int. J. Mod. Phys. B 31, No. 1, Article ID 1650247, 20 p. (2017; Zbl 1355.82005) Full Text: DOI
Marinho, André A.; Brito, Francisco A.; Chesman, Carlos Thermal and electrical properties of a solid through Fibonacci oscillators. (English) Zbl 1400.82284 Physica A 443, 324-332 (2016). MSC: 82D25 PDF BibTeX XML Cite \textit{A. A. Marinho} et al., Physica A 443, 324--332 (2016; Zbl 1400.82284) Full Text: DOI
Dil, Emre Interacting dark matter and \(q\)-deformed dark energy nonminimally coupled to gravity. (English) Zbl 1366.81223 Adv. High Energy Phys. 2016, Article ID 7380372, 17 p. (2016). MSC: 81T10 83F05 PDF BibTeX XML Cite \textit{E. Dil}, Adv. High Energy Phys. 2016, Article ID 7380372, 17 p. (2016; Zbl 1366.81223) Full Text: DOI arXiv
Fakhri, H.; Nouraddini, M. Right \(SU_q(2)\)- and left \(SU_{q^{-1}}(2)\)-invariances of the \(q\)-Hilbert-Schmidt scalar products for an adjoint representation of the quantum algebra \(\breve{U}_q(su_2)\). (English) Zbl 1364.57027 J. Geom. Phys. 110, 90-100 (2016). Reviewer: Vida Milani (North Logan) MSC: 57T05 16T05 17B37 81R50 PDF BibTeX XML Cite \textit{H. Fakhri} and \textit{M. Nouraddini}, J. Geom. Phys. 110, 90--100 (2016; Zbl 1364.57027) Full Text: DOI
Gavrilik, Alexandre M.; Kachurik, Ivan I. Nonstandard deformed oscillators from \(q\)- and \(p,q\)-deformations of Heisenberg algebra. (English) Zbl 1338.81237 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 047, 12 p. (2016). MSC: 81R50 81S05 17B37 81Q10 81Q12 PDF BibTeX XML Cite \textit{A. M. Gavrilik} and \textit{I. I. Kachurik}, SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 047, 12 p. (2016; Zbl 1338.81237) Full Text: DOI arXiv
Genest, Vincent X.; Post, Sarah; Vinet, Luc; Yu, Guo-Fu; Zhedanov, Alexei \(q\)-rotations and Krawtchouk polynomials. (English) Zbl 1339.33020 Ramanujan J. 40, No. 2, 335-357 (2016). MSC: 33D45 16T05 PDF BibTeX XML Cite \textit{V. X. Genest} et al., Ramanujan J. 40, No. 2, 335--357 (2016; Zbl 1339.33020) Full Text: DOI arXiv
Ding, Lu; Jia, Xiao-Yu; Wu, Ke; Yan, Zhao-Wen; Zhao, Wei-Zhong On \(q\)-deformed infinite-dimensional \(n\)-algebra. (English) Zbl 1332.17016 Nucl. Phys., B 904, 18-38 (2016). MSC: 17B37 17B65 17B68 81R50 PDF BibTeX XML Cite \textit{L. Ding} et al., Nucl. Phys., B 904, 18--38 (2016; Zbl 1332.17016) Full Text: DOI arXiv
Kopeć, T. K. Mott-superfluid transition of \(q\)-deformed bosons. (English) Zbl 1364.81274 Phys. Lett., A 379, No. 39, 2493-2497 (2015). MSC: 81V70 82D50 82C26 81R40 82C22 PDF BibTeX XML Cite \textit{T. K. Kopeć}, Phys. Lett., A 379, No. 39, 2493--2497 (2015; Zbl 1364.81274) Full Text: DOI
Dehghani, A.; Mojaveri, B.; Shirin, S.; Saedi, M. Cat-states in the framework of Wigner-Heisenberg algebra. (English) Zbl 1343.81133 Ann. Phys. 362, 659-670 (2015). MSC: 81R30 81R15 81S05 33C90 33C45 81V80 PDF BibTeX XML Cite \textit{A. Dehghani} et al., Ann. Phys. 362, 659--670 (2015; Zbl 1343.81133) Full Text: DOI arXiv
Mahdifar, A.; Hoseinzadeh, T.; Bagheri Harouni, M. Coherent states for the Kepler-Coulomb problem on a sphere. (English) Zbl 1343.81134 Ann. Phys. 355, 21-34 (2015). MSC: 81R30 81Q35 81R15 81R05 PDF BibTeX XML Cite \textit{A. Mahdifar} et al., Ann. Phys. 355, 21--34 (2015; Zbl 1343.81134) Full Text: DOI
Chung, Won Sang; Hounkonnou, Mahouton Norbert; Sama, Arjika New \(q\)-Hermite polynomials: characterization, operators algebra and associated coherent states. (English) Zbl 1338.81231 Fortschr. Phys. 63, No. 1, 42-53 (2015). MSC: 81R30 81Q50 17B37 55U15 33C45 81V70 PDF BibTeX XML Cite \textit{W. S. Chung} et al., Fortschr. Phys. 63, No. 1, 42--53 (2015; Zbl 1338.81231) Full Text: DOI
Borzov, Vadim V.; Damaskinskiĭ, E. V. Orthogonal polynomials and deformed oscillators. (English. Russian original) Zbl 1397.81093 Theor. Math. Phys. 185, No. 1, 1417-1424 (2015); translation from Teor. Mat. Fiz. 185, No. 1, 68-76 (2015). MSC: 81R12 11B39 17B81 42C10 PDF BibTeX XML Cite \textit{V. V. Borzov} and \textit{E. V. Damaskinskiĭ}, Theor. Math. Phys. 185, No. 1, 1417--1424 (2015; Zbl 1397.81093); translation from Teor. Mat. Fiz. 185, No. 1, 68--76 (2015) Full Text: DOI
Fakhri, Hossein; Nouraddini, Mojtaba Hilbert-Schmidt inner product for an adjoint representation of the quantum algebra \(\overset{\smile}{U}_Q(\mathfrak{SU}_2)\). (English) Zbl 1359.17025 Rep. Math. Phys. 76, No. 2, 141-147 (2015). MSC: 17B37 81R10 PDF BibTeX XML Cite \textit{H. Fakhri} and \textit{M. Nouraddini}, Rep. Math. Phys. 76, No. 2, 141--147 (2015; Zbl 1359.17025) Full Text: DOI
Castro, P. G.; Kullock, R. Physics of the \(\mathrm{so}_q(4)\) hydrogen atom. (English. Russian original) Zbl 1333.81201 Theor. Math. Phys. 185, No. 2, 1678-1684 (2015); translation from Teor. Mat. Fiz. 185, No. 2, 361-368 (2015). MSC: 81R50 17B37 81V45 PDF BibTeX XML Cite \textit{P. G. Castro} and \textit{R. Kullock}, Theor. Math. Phys. 185, No. 2, 1678--1684 (2015; Zbl 1333.81201); translation from Teor. Mat. Fiz. 185, No. 2, 361--368 (2015) Full Text: DOI arXiv
Daoud, Mohammed; Chung, Won Sang A polynomial class of \(u(2)\) algebras. (English) Zbl 1331.81144 Int. J. Geom. Methods Mod. Phys. 12, No. 8, Article ID 1560025, 12 p. (2015). MSC: 81R30 81R05 81R50 81R15 81S05 PDF BibTeX XML Cite \textit{M. Daoud} and \textit{W. S. Chung}, Int. J. Geom. Methods Mod. Phys. 12, No. 8, Article ID 1560025, 12 p. (2015; Zbl 1331.81144) Full Text: DOI arXiv
Aleixo, A. N. F.; Balantekin, A. B. Normal ordering for nonlinear deformed ladder operators and the \(f\)-generalization of the Stirling and Bell numbers. (English) Zbl 1429.81081 J. Math. Phys. 56, No. 12, 122108, 34 p. (2015). MSC: 81T60 PDF BibTeX XML Cite \textit{A. N. F. Aleixo} and \textit{A. B. Balantekin}, J. Math. Phys. 56, No. 12, 122108, 34 p. (2015; Zbl 1429.81081) Full Text: DOI
Batouli, J.; El Baz, M.; Maaouni, A. RLC circuit realization of a q-deformed harmonic oscillator with time dependent mass. (English) Zbl 1323.81043 Phys. Lett., A 379, No. 28-29, 1619-1626 (2015). MSC: 81R30 34C15 94C99 PDF BibTeX XML Cite \textit{J. Batouli} et al., Phys. Lett., A 379, No. 28--29, 1619--1626 (2015; Zbl 1323.81043) Full Text: DOI
Gouba, Laure Time-dependent \(q\)-deformed bi-coherent states for generalized uncertainty relations. (English) Zbl 1318.81036 J. Math. Phys. 56, No. 7, 073507, 14 p. (2015). MSC: 81R30 81R50 17B37 81S05 81Q05 30H20 PDF BibTeX XML Cite \textit{L. Gouba}, J. Math. Phys. 56, No. 7, 073507, 14 p. (2015; Zbl 1318.81036) Full Text: DOI arXiv
Lü, Rencai; Zhao, Kaiming Finite-dimensional simple modules over generalized Heisenberg algebras. (English) Zbl 1316.81046 Linear Algebra Appl. 475, 276-291 (2015). MSC: 81R05 16S10 16D60 PDF BibTeX XML Cite \textit{R. Lü} and \textit{K. Zhao}, Linear Algebra Appl. 475, 276--291 (2015; Zbl 1316.81046) Full Text: DOI arXiv
Chung, Won Sang Modified \(q\)-deformed Tamm-Dancoff oscillators as a model for vibrations of polyatomic molecule. (English) Zbl 1310.81093 J. Math. Chem. 53, No. 1, 200-206 (2015). MSC: 81R50 81R30 17B37 81V55 81Q05 PDF BibTeX XML Cite \textit{W. S. Chung}, J. Math. Chem. 53, No. 1, 200--206 (2015; Zbl 1310.81093) Full Text: DOI
Chung, Won Sang Modified Pauli matrix and spin algebra from the \(Z_{2}\)-decomposition of the parafermionic Fock space. (English) Zbl 1309.81352 Mod. Phys. Lett. A 30, No. 5, Article ID 1550022, 8 p. (2015). MSC: 81V70 81S05 15A66 PDF BibTeX XML Cite \textit{W. S. Chung}, Mod. Phys. Lett. A 30, No. 5, Article ID 1550022, 8 p. (2015; Zbl 1309.81352) Full Text: DOI
Marinho, André A.; Brito, Francisco A.; Chesman, Carlos Fibonacci oscillators in the Landau diamagnetism problem. (English) Zbl 1395.82260 Physica A 411, 74-79 (2014). MSC: 82D40 PDF BibTeX XML Cite \textit{A. A. Marinho} et al., Physica A 411, 74--79 (2014; Zbl 1395.82260) Full Text: DOI
Dupuis, Maïté; Girelli, Florian; Livine, Etera R. Deformed spinor networks for loop gravity: towards hyperbolic twisted geometries. (English) Zbl 1308.83062 Gen. Relativ. Gravitation 46, No. 11, Article ID 1802, 22 p. (2014). MSC: 83C45 83C60 83C05 83F05 81T20 PDF BibTeX XML Cite \textit{M. Dupuis} et al., Gen. Relativ. Gravitation 46, No. 11, Article ID 1802, 22 p. (2014; Zbl 1308.83062) Full Text: DOI arXiv
Meslouhi, A.; Hassouni, Y. On quantum discord for analyzing decoherence effect and deformation phenomena in entangled coherent bipartite state. (English) Zbl 1304.81041 Int. J. Theor. Phys. 53, No. 5, 1767-1778 (2014). MSC: 81P40 81S22 94A40 PDF BibTeX XML Cite \textit{A. Meslouhi} and \textit{Y. Hassouni}, Int. J. Theor. Phys. 53, No. 5, 1767--1778 (2014; Zbl 1304.81041) Full Text: DOI
Chung, Won Sang On the deformed photon-added and photon-subtracted states. (English) Zbl 1301.81085 Mod. Phys. Lett. A 29, No. 32, Article ID 1450174, 8 p. (2014). MSC: 81R50 81R15 81R10 PDF BibTeX XML Cite \textit{W. S. Chung}, Mod. Phys. Lett. A 29, No. 32, Article ID 1450174, 8 p. (2014; Zbl 1301.81085) Full Text: DOI
Blitvić, Natasha Two-parameter non-commutative central limit theorem. (English. French summary) Zbl 1314.60073 Ann. Inst. Henri Poincaré, Probab. Stat. 50, No. 4, 1456-1473 (2014). MSC: 60F05 60B20 46L54 81S05 PDF BibTeX XML Cite \textit{N. Blitvić}, Ann. Inst. Henri Poincaré, Probab. Stat. 50, No. 4, 1456--1473 (2014; Zbl 1314.60073) Full Text: DOI Euclid arXiv
Batouli, J.; El Baz, M. Classical interpretation of a deformed quantum oscillator. (English) Zbl 1302.81114 Found. Phys. 44, No. 2, 105-113 (2014). MSC: 81R50 17B37 81Q10 PDF BibTeX XML Cite \textit{J. Batouli} and \textit{M. El Baz}, Found. Phys. 44, No. 2, 105--113 (2014; Zbl 1302.81114) Full Text: DOI
Borzov, V. V.; Damaskinsky, E. V. The algebra of two dimensional generalized Chebyshev-Koornwinder oscillator. (English) Zbl 1309.81066 J. Math. Phys. 55, No. 10, 103505, 23 p. (2014). Reviewer: Paninjukunnath Achuthan (Kerala) MSC: 81Q05 81Q10 81V70 41A50 81R15 PDF BibTeX XML Cite \textit{V. V. Borzov} and \textit{E. V. Damaskinsky}, J. Math. Phys. 55, No. 10, 103505, 23 p. (2014; Zbl 1309.81066) Full Text: DOI arXiv
Honnouvo, G.; Thirulogasanthar, K. On the dimensions of oscillator algebras induced by orthogonal polynomials. (English) Zbl 1297.81067 J. Math. Phys. 55, No. 9, 093511, 13 p. (2014). MSC: 81Q05 81Q10 33C45 81R15 PDF BibTeX XML Cite \textit{G. Honnouvo} and \textit{K. Thirulogasanthar}, J. Math. Phys. 55, No. 9, 093511, 13 p. (2014; Zbl 1297.81067) Full Text: DOI arXiv
Chung, Won Sang The Q-deformed oscillator algebra with an integer number eigenvalue and a half odd integer number eigenvalue. (English) Zbl 1298.81120 Int. J. Theor. Phys. 53, No. 7, 2451-2457 (2014). MSC: 81R50 17B37 PDF BibTeX XML Cite \textit{W. S. Chung}, Int. J. Theor. Phys. 53, No. 7, 2451--2457 (2014; Zbl 1298.81120) Full Text: DOI
Chung, Won Sang; Hounkonnou, Mahouton Norbert; Arjika, Sama Generalized \(q\)-deformed Tamm-Dancoff oscillator algebra and associated coherent states. (English) Zbl 1295.81090 J. Math. Phys. 55, No. 8, 081702, 14 p. (2014). MSC: 81R50 17B37 81Q10 81R15 81V70 81R30 82B30 PDF BibTeX XML Cite \textit{W. S. Chung} et al., J. Math. Phys. 55, No. 8, 081702, 14 p. (2014; Zbl 1295.81090) Full Text: DOI arXiv
Chung, Won Sang; Algin, Abdullah \(q\)-deformed Tamm-Dancoff oscillators: coherent state and thermostatistics. (English) Zbl 1293.81027 Int. J. Mod. Phys. B 28, No. 21, Article ID 1450130, 11 p. (2014). MSC: 81R30 81V70 81R15 82C10 PDF BibTeX XML Cite \textit{W. S. Chung} and \textit{A. Algin}, Int. J. Mod. Phys. B 28, No. 21, Article ID 1450130, 11 p. (2014; Zbl 1293.81027) Full Text: DOI
De Cillis, Giovanni; Paris, Matteo G. A. Quantum limits to estimation of photon deformation. (English) Zbl 1294.81036 Int. J. Quantum Inf. 12, No. 2, Article ID 1461009, 9 p. (2014). MSC: 81P50 81V80 81P15 60G35 93E10 PDF BibTeX XML Cite \textit{G. De Cillis} and \textit{M. G. A. Paris}, Int. J. Quantum Inf. 12, No. 2, Article ID 1461009, 9 p. (2014; Zbl 1294.81036) Full Text: DOI
Altintas, Azmi Ali; Ozaydin, Fatih; Yesilyurt, Can; Bugu, Sinan; Arik, Metin Constructing quantum logic gates using \(q\)-deformed harmonic oscillator algebras. (English) Zbl 1291.81089 Quantum Inf. Process. 13, No. 4, 1035-1044 (2014). MSC: 81P68 03B05 PDF BibTeX XML Cite \textit{A. A. Altintas} et al., Quantum Inf. Process. 13, No. 4, 1035--1044 (2014; Zbl 1291.81089) Full Text: DOI
Chung, Won Sang; Daoud, Mohammed Generalized fermion algebra. (English) Zbl 1286.81106 Mod. Phys. Lett. A 29, No. 9, Article ID 1450045, 12 p. (2014). MSC: 81R10 81R30 81R15 PDF BibTeX XML Cite \textit{W. S. Chung} and \textit{M. Daoud}, Mod. Phys. Lett. A 29, No. 9, Article ID 1450045, 12 p. (2014; Zbl 1286.81106) Full Text: DOI arXiv
Chung, Won Sang New \(q\)-deformed oscillator algebra and thermodynamic model. (English) Zbl 1286.81115 Int. J. Theor. Phys. 53, No. 2, 426-434 (2014). MSC: 81R50 17B37 81R30 82B30 PDF BibTeX XML Cite \textit{W. S. Chung}, Int. J. Theor. Phys. 53, No. 2, 426--434 (2014; Zbl 1286.81115) Full Text: DOI
Algin, Abdullah; Ilik, Erkan Low-temperature thermostatistics of Tamm-Dancoff deformed boson oscillators. (English) Zbl 1302.82046 Phys. Lett., A 377, No. 31-33, 1797-1803 (2013). MSC: 82B30 81R50 82B10 PDF BibTeX XML Cite \textit{A. Algin} and \textit{E. Ilik}, Phys. Lett., A 377, No. 31--33, 1797--1803 (2013; Zbl 1302.82046) Full Text: DOI
Olemskoi, A. I.; Yushchenko, O. V.; Badalyan, A. Yu. Statistical field theory of a nonadditive system. (English. Russian original) Zbl 1286.82011 Theor. Math. Phys. 174, No. 3, 386-405 (2013); translation from Teor. Mat. Fiz. 174, No. 3, 444-466 (2013). MSC: 82B30 PDF BibTeX XML Cite \textit{A. I. Olemskoi} et al., Theor. Math. Phys. 174, No. 3, 386--405 (2013; Zbl 1286.82011); translation from Teor. Mat. Fiz. 174, No. 3, 444--466 (2013) Full Text: DOI
Dehdashti, Sh.; Mahdifar, A.; Bagheri Harouni, M.; Roknizadeh, R. Decoherence of spin-deformed bosonic model. (English) Zbl 1284.81030 Ann. Phys. 334, 321-333 (2013). MSC: 81P40 PDF BibTeX XML Cite \textit{Sh. Dehdashti} et al., Ann. Phys. 334, 321--333 (2013; Zbl 1284.81030) Full Text: DOI
Ruan, Dong; Huang, Hua-Jun; Li, You-Ning Single boson and inversion boson realizations of multi-parameter nonlinearly deformed angular momentum algebra. (English) Zbl 1277.81069 Mod. Phys. Lett. A 28, No. 28, Article ID 1350113, 15 p. (2013). MSC: 81R50 81R05 17B81 PDF BibTeX XML Cite \textit{D. Ruan} et al., Mod. Phys. Lett. A 28, No. 28, Article ID 1350113, 15 p. (2013; Zbl 1277.81069) Full Text: DOI
Chung, Won Sang; Jung, Min Some new properties concerning the \(q\)-deformed calculus and the \(q\)-deformations of the diffusion equation. (English) Zbl 1272.81095 Mod. Phys. Lett. A 28, No. 22, Article ID 1350100, 11 p. (2013). MSC: 81R50 35Q84 PDF BibTeX XML Cite \textit{W. S. Chung} and \textit{M. Jung}, Mod. Phys. Lett. A 28, No. 22, Article ID 1350100, 11 p. (2013; Zbl 1272.81095) Full Text: DOI
Chung, Won Sang On the representation of the Wigner algebra and Wigner deformation of the fermion algebra. (English) Zbl 1268.81087 Mod. Phys. Lett. A 28, No. 17, Article ID 1350074 (2013). MSC: 81R05 81S05 PDF BibTeX XML Cite \textit{W. S. Chung}, Mod. Phys. Lett. A 28, No. 17, Article ID 1350074 (2013; Zbl 1268.81087) Full Text: DOI
Berrada, K.; Abdel-Khalek, S.; Ooi, C. H. Raymond Geometric phase and entanglement for a single qubit interacting with deformed-states superposition. (English) Zbl 1267.81057 Quantum Inf. Process. 12, No. 6, 2177-2188 (2013); erratum ibid. 12, No. 6, 2189 (2013). MSC: 81P40 81Q70 PDF BibTeX XML Cite \textit{K. Berrada} et al., Quantum Inf. Process. 12, No. 6, 2177--2188 (2013; Zbl 1267.81057) Full Text: DOI
Berrada, K. Quantum and classical quantifiers for atom-nonlinear field system under decoherence. (English) Zbl 1266.81027 Open Syst. Inf. Dyn. 20, No. 1, Paper No. 1350001, 15 p. (2013). MSC: 81P40 81V22 81V80 94A17 PDF BibTeX XML Cite \textit{K. Berrada}, Open Syst. Inf. Dyn. 20, No. 1, Paper No. 1350001, 15 p. (2013; Zbl 1266.81027) Full Text: DOI
De Leeuw, Marius; Matsumoto, Takuya; Regelskis, Vidas The bound state S-matrix of the deformed Hubbard chain. (English) Zbl 1348.82017 J. High Energy Phys. 2012, No. 4, Paper No. 021, 43 p. (2012). MSC: 82B20 81U20 PDF BibTeX XML Cite \textit{M. De Leeuw} et al., J. High Energy Phys. 2012, No. 4, Paper No. 021, 43 p. (2012; Zbl 1348.82017) Full Text: DOI arXiv
Bukweli-Kyemba, Joseph Désiré; Hounkonnou, Mahouton Norbert \((q;l,\lambda)\)-deformed Heisenberg algebra: coherent states, their statistics and geometry. (English) Zbl 1276.81072 Afr. Diaspora J. Math. 14, No. 2, 38-56 (2012). MSC: 81R30 81R50 45Q05 20G45 17B37 35R03 PDF BibTeX XML Cite \textit{J. D. Bukweli-Kyemba} and \textit{M. N. Hounkonnou}, Afr. Diaspora J. Math. 14, No. 2, 38--56 (2012; Zbl 1276.81072) Full Text: Euclid
Baloitcha, E.; Hounkonnou, M. N.; Ngompe Nkouankam, E. B. Unified \((p,q;\alpha,\beta,\nu;\gamma)\) deformed oscillator algebra: irreducible representations and induced deformed harmonic oscillator. (English) Zbl 1273.81060 J. Math. Phys. 53, No. 1, 013504, 11 p. (2012). MSC: 81R50 81R05 PDF BibTeX XML Cite \textit{E. Baloitcha} et al., J. Math. Phys. 53, No. 1, 013504, 11 p. (2012; Zbl 1273.81060) Full Text: DOI arXiv
Ubriaco, Marcelo R. Geometry of quantum group invariant systems. (English) Zbl 1266.81113 Phys. Lett., A 376, No. 47-48, 3581-3587 (2012). MSC: 81R50 PDF BibTeX XML Cite \textit{M. R. Ubriaco}, Phys. Lett., A 376, No. 47--48, 3581--3587 (2012; Zbl 1266.81113) Full Text: DOI arXiv
Ghorashi, S. A. A.; Roknizadeh, R.; Harouni, M. Bagheri Generalized coherent states approach to deformation quantization. (English) Zbl 1260.81140 Int. J. Mod. Phys. A 27, No. 18, Paper No. 1250095, 12 p. (2012). MSC: 81S10 53D55 81R30 PDF BibTeX XML Cite \textit{S. A. A. Ghorashi} et al., Int. J. Mod. Phys. A 27, No. 18, Paper No. 1250095, 12 p. (2012; Zbl 1260.81140) Full Text: DOI
Gavrilik, A. M.; Kachurik, I. I. Three-parameter (two-sided) deformation of Heisenberg algebra. (English) Zbl 1257.81040 Mod. Phys. Lett. A 27, No. 21, 1250114, 12 p. (2012). MSC: 81R50 17B37 35R03 PDF BibTeX XML Cite \textit{A. M. Gavrilik} and \textit{I. I. Kachurik}, Mod. Phys. Lett. A 27, No. 21, 1250114, 12 p. (2012; Zbl 1257.81040) Full Text: DOI arXiv
Ostrovska, Sofiya The functional-analytic properties of the limit \(q\)-Bernstein operator. (English) Zbl 1268.46022 J. Funct. Spaces Appl. 2012, Article ID 280314, 8 p. (2012). MSC: 46E15 PDF BibTeX XML Cite \textit{S. Ostrovska}, J. Funct. Spaces Appl. 2012, Article ID 280314, 8 p. (2012; Zbl 1268.46022) Full Text: DOI
Blitvić, Natasha The \((q, t)\)-Gaussian process. (English) Zbl 1264.46045 J. Funct. Anal. 263, No. 10, 3270-3305 (2012). MSC: 46L54 46L53 46L65 PDF BibTeX XML Cite \textit{N. Blitvić}, J. Funct. Anal. 263, No. 10, 3270--3305 (2012; Zbl 1264.46045) Full Text: DOI arXiv
Gavrilik, A. M.; Rebesh, A. P. Deformed gas of \(p, q\)-bosons: virial expansion and virial coefficients. (English) Zbl 1253.82008 Mod. Phys. Lett. B 26, No. 5, 1150030, 13 p. (2012). MSC: 82B10 82B27 82C22 PDF BibTeX XML Cite \textit{A. M. Gavrilik} and \textit{A. P. Rebesh}, Mod. Phys. Lett. B 26, No. 5, 1150030, 13 p. (2012; Zbl 1253.82008) Full Text: DOI arXiv
Berrada, K.; Baz, M. El; Eleuch, H.; Hassouni, Y. Bipartite entanglement of nonlinear quantum systems in the context of the \(q\)-Heisenberg Weyl algebra. (English) Zbl 1239.81023 Quantum Inf. Process. 11, No. 2, 351-372 (2012). MSC: 81P40 PDF BibTeX XML Cite \textit{K. Berrada} et al., Quantum Inf. Process. 11, No. 2, 351--372 (2012; Zbl 1239.81023) Full Text: DOI
Kien, Nguyen Cong; Ky, Nguyen Anh; Nam, Le Ba; Van, Nguyen Thi Hong Representations of quantum superalgebra \(U_q[gl(2|1)]\) in a coherent state basis and generalization. (English) Zbl 1273.81126 J. Math. Phys. 52, No. 12, 123512, 12 p. (2011). MSC: 81R50 17B37 17A70 17B10 81R30 PDF BibTeX XML Cite \textit{N. C. Kien} et al., J. Math. Phys. 52, No. 12, 123512, 12 p. (2011; Zbl 1273.81126) Full Text: DOI arXiv
Kim, Taekyun A note on \(q\)-Bernstein polynomials. (English) Zbl 1256.11018 Russ. J. Math. Phys. 18, No. 1, 73-82 (2011). MSC: 11B68 33D45 05A30 11S80 PDF BibTeX XML Cite \textit{T. Kim}, Russ. J. Math. Phys. 18, No. 1, 73--82 (2011; Zbl 1256.11018) Full Text: DOI arXiv
Berrada, K.; El Baz, M.; Hassouni, Y. On the construction of generalized \(\mathrm{SU}(1, 1)\) coherent states. (English) Zbl 1241.81099 Rep. Math. Phys. 68, No. 1, 23-35 (2011). MSC: 81R30 81P40 PDF BibTeX XML Cite \textit{K. Berrada} et al., Rep. Math. Phys. 68, No. 1, 23--35 (2011; Zbl 1241.81099) Full Text: DOI