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Hoffmann, Scott E.; Hussin, Véronique; Marquette, Ian; Zhang, Yao-Zhong Coherent states for ladder operators of general order related to exceptional orthogonal polynomials. (English) Zbl 1397.81083 J. Phys. A, Math. Theor. 51, No. 31, Article ID 315203, 19 p. (2018). MSC: 81Q60 81R30 81Q05 42C05 81P40 81S30 62J10 PDF BibTeX XML Cite \textit{S. E. Hoffmann} et al., J. Phys. A, Math. Theor. 51, No. 31, Article ID 315203, 19 p. (2018; Zbl 1397.81083) Full Text: DOI
Gangopadhyaya, Asim; Mallow, Jeffry V.; Rasinariu, Constantin Supersymmetric quantum mechanics. An introduction. 2nd edition. (English) Zbl 1375.81007 Hackensack, NJ: World Scientific (ISBN 978-981-3221-03-1/hbk; 978-981-3221-04-8/pbk). xii, 281 p. (2018). MSC: 81-01 81Q60 81T60 00A79 PDF BibTeX XML Cite \textit{A. Gangopadhyaya} et al., Supersymmetric quantum mechanics. An introduction. 2nd edition. Hackensack, NJ: World Scientific (2018; Zbl 1375.81007) Full Text: DOI
Qurban, Qeyum; Sayipjamal, Dulat; Mamatabdulla, Hekim Harmonic oscillator and supersymmetric harmonic oscillator on coordinate dependent noncommutative space. (English) Zbl 1363.81014 J. Xinjiang Univ., Nat. Sci. 33, No. 1, 69-73 (2016). MSC: 81Q60 PDF BibTeX XML Cite \textit{Q. Qurban} et al., J. Xinjiang Univ., Nat. Sci. 33, No. 1, 69--73 (2016; Zbl 1363.81014) Full Text: DOI
Rosas-Ortiz, Oscar; Castaños, Octavio; Schuch, Dieter New supersymmetry-generated complex potentials with real spectra. (English) Zbl 1327.81216 J. Phys. A, Math. Theor. 48, No. 44, Article ID 445302, 23 p. (2015). MSC: 81Q60 81Q10 81T60 81Q05 PDF BibTeX XML Cite \textit{O. Rosas-Ortiz} et al., J. Phys. A, Math. Theor. 48, No. 44, Article ID 445302, 23 p. (2015; Zbl 1327.81216) Full Text: DOI
Bermudez, David; Contreras-Astorga, Alonso; Fernández C., David J. Painlevé IV coherent states. (English) Zbl 1344.81102 Ann. Phys. 350, 615-634 (2014). MSC: 81Q60 81R30 81R15 81Q05 PDF BibTeX XML Cite \textit{D. Bermudez} et al., Ann. Phys. 350, 615--634 (2014; Zbl 1344.81102) Full Text: DOI arXiv
Luo, Cuiling; Xu, Xiaoping Supersymmetric analogues of the classical theorem on harmonic polynomials. (English) Zbl 1358.17009 J. Algebra Appl. 13, No. 6, Article ID 1450011, 42 p. (2014). MSC: 17B10 17B20 35C11 PDF BibTeX XML Cite \textit{C. Luo} and \textit{X. Xu}, J. Algebra Appl. 13, No. 6, Article ID 1450011, 42 p. (2014; Zbl 1358.17009) Full Text: DOI arXiv
Asghari, M.; Pedram, P.; Nozari, K. Harmonic oscillator with minimal length, minimal momentum, and maximal momentum uncertainties in SUSYQM framework. (English) Zbl 1364.81108 Phys. Lett., B 725, No. 4-5, 451-455 (2013). MSC: 81Q05 81Q60 PDF BibTeX XML Cite \textit{M. Asghari} et al., Phys. Lett., B 725, No. 4--5, 451--455 (2013; Zbl 1364.81108) Full Text: DOI arXiv
Balondo Iyela, Daddy; Govaerts, Jan; Hounkonnou, M. Norbert Supersymmetric quantum mechanics: engineered hierarchies of integrable potentials and related orthogonal polynomials. (English) Zbl 1312.81088 J. Math. Phys. 54, No. 9, 093502, 18 p. (2013). Reviewer: Primitivo Belén Acosta-Humánez (Barranquilla) MSC: 81Q60 81Q10 81R12 33C45 33C80 PDF BibTeX XML Cite \textit{D. Balondo Iyela} et al., J. Math. Phys. 54, No. 9, 093502, 18 p. (2013; Zbl 1312.81088) Full Text: DOI arXiv
Bermudez, David; Fernández C., David J. Factorization method and new potentials from the inverted oscillator. (English) Zbl 1284.81142 Ann. Phys. 333, 290-306 (2013). MSC: 81Q60 81Q80 PDF BibTeX XML Cite \textit{D. Bermudez} and \textit{D. J. Fernández C.}, Ann. Phys. 333, 290--306 (2013; Zbl 1284.81142) Full Text: DOI arXiv
Bermúdez, David Complex SUSY transformations and the Painlevé IV equation. (English) Zbl 1269.81055 SIGMA, Symmetry Integrability Geom. Methods Appl. 8, Paper 069, 10 p. (2012). MSC: 81Q60 35G20 34M55 81Q05 35R03 PDF BibTeX XML Cite \textit{D. Bermúdez}, SIGMA, Symmetry Integrability Geom. Methods Appl. 8, Paper 069, 10 p. (2012; Zbl 1269.81055) Full Text: DOI arXiv
Fernández, David J. Harmonic oscillator SUSY partners and evolution loops. (English) Zbl 1269.81056 SIGMA, Symmetry Integrability Geom. Methods Appl. 8, Paper 041, 12 p. (2012). MSC: 81Q60 81Q05 81Q70 PDF BibTeX XML Cite \textit{D. J. Fernández}, SIGMA, Symmetry Integrability Geom. Methods Appl. 8, Paper 041, 12 p. (2012; Zbl 1269.81056) Full Text: DOI arXiv
Gangopadhyaya, Asim; Mallow, Jeffry V.; Rasinariu, Constantin Supersymmetric quantum mechanics. An introduction. (English) Zbl 1242.81001 Hackensack, NJ: World Scientific (ISBN 978-981-4313-08-7/hbk; 978-981-4313-09-4/pbk). x, 281 p. (2011). Reviewer: Primitivo Belén Acosta-Humánez (Barranquilla) MSC: 81-01 81Q60 81T60 PDF BibTeX XML Cite \textit{A. Gangopadhyaya} et al., Supersymmetric quantum mechanics. An introduction. Hackensack, NJ: World Scientific (2011; Zbl 1242.81001)
Fernández C., David J.; Salinas-Hernández, Encarnación The confluent algorithm in second-order supersymmetric quantum mechanics. (English) Zbl 1026.81017 J. Phys. A, Math. Gen. 36, No. 10, 2537-2543 (2003). Reviewer: Violeta Tretynyk (Kyïv) MSC: 81Q60 PDF BibTeX XML Cite \textit{D. J. Fernández C.} and \textit{E. Salinas-Hernández}, J. Phys. A, Math. Gen. 36, No. 10, 2537--2543 (2003; Zbl 1026.81017) Full Text: DOI arXiv
Cannata, F.; Junker, G.; Trost, J. Solvable potentials, nonlinear algebras, and associated coherent states. (English) Zbl 0972.81052 Rembieliński, Jakub (ed.), Particles, fields, and gravitation. Papers from the conference dedicated to the memory of Ryszard Raczka, Łódz, Poland, April 15-19, 1998. Woodbury, NY: American Institute of Physics. AIP Conf. Proc. 453, 209-218 (1998). MSC: 81Q60 81R30 81U15 PDF BibTeX XML Cite \textit{F. Cannata} et al., AIP Conf. Proc. 453, 209--218 (1998; Zbl 0972.81052)
Beckers, Jules; Debergh, Nathalie; Nikitin, Anatolia G. Reducibility of supersymmetric quantum mechanics. (English) Zbl 0887.46049 Int. J. Theor. Phys. 36, No. 9, 1991-2003 (1997). MSC: 46N50 81Q60 PDF BibTeX XML Cite \textit{J. Beckers} et al., Int. J. Theor. Phys. 36, No. 9, 1991--2003 (1997; Zbl 0887.46049) Full Text: DOI
Ntibashirakandi, L. Supersymmetric spectra of the Calogero problem. (English) Zbl 0882.34085 Bull. Soc. R. Sci. Liège 66, No. 5, 365-377 (1997). MSC: 34L40 81Q60 81Q05 PDF BibTeX XML Cite \textit{L. Ntibashirakandi}, Bull. Soc. R. Sci. Liège 66, No. 5, 365--377 (1997; Zbl 0882.34085)
Kostelecký, V. Alan Atomic supersymmetry, oscillators and the Penning trap. (English) Zbl 0848.17041 Gruber, Bruno (ed.) et al., Symmetries in science VII: Spectrum-generating algebras and dynamic symmetries in physics. Proceedings of a symposium held in Nakajo, Japan, August 28-31, 1992. New York, NY: Plenum Press. 295-305 (1993). MSC: 17B81 81Q60 81V45 PDF BibTeX XML Cite \textit{V. A. Kostelecký}, in: Symmetries in science VII: spectrum-generating algebras and dynamic symmetries in physics. Proceedings of a symposium held in Nakajo, Japan, August 28-31, 1992. New York, NY: Plenum Press. 295--305 (1993; Zbl 0848.17041)
Dérubé-Lauzière, Y.; Hussin, V. Comments on the definitions of coherent states for the SUSY harmonic oscillator. (English) Zbl 0813.58064 J. Phys. A, Math. Gen. 26, No. 22, 6271-6275 (1993). Reviewer: C.S.Sharma (London) MSC: 58Z05 81Q60 81R30 81T60 PDF BibTeX XML Cite \textit{Y. Dérubé-Lauzière} and \textit{V. Hussin}, J. Phys. A, Math. Gen. 26, No. 22, 6271--6275 (1993; Zbl 0813.58064) Full Text: DOI
Beckers, J.; Debergh, N. On a family of supersymmetrization procedures. (English) Zbl 0851.15022 J. Math. Phys. 34, No. 8, 3378-3390 (1993). MSC: 15A90 81Q60 PDF BibTeX XML Cite \textit{J. Beckers} and \textit{N. Debergh}, J. Math. Phys. 34, No. 8, 3378--3390 (1993; Zbl 0851.15022) Full Text: DOI
Cooper, Ian L. An integrated approach to ladder and shift operators for the Morse oscillator, radial Coulomb and radial oscillator potentials. (English) Zbl 0772.34058 J. Phys. A, Math. Gen. 26, No. 7, 1601-1623 (1993). MSC: 34L40 81Q10 PDF BibTeX XML Cite \textit{I. L. Cooper}, J. Phys. A, Math. Gen. 26, No. 7, 1601--1623 (1993; Zbl 0772.34058) Full Text: DOI
Landi, G.; Marmo, G.; Vilasi, G. Remarks on the complete integrability of dynamical systems with fermionic variables. (English) Zbl 0769.58031 J. Phys. A, Math. Gen. 25, No. 16, 4413-4423 (1992). Reviewer: E.D.Belokolos (Kiev) MSC: 37J35 37K10 17B70 PDF BibTeX XML Cite \textit{G. Landi} et al., J. Phys. A, Math. Gen. 25, No. 16, 4413--4423 (1992; Zbl 0769.58031) Full Text: DOI
Beckers, J.; Debergh, N. \(N=2\) – extended supersymmetries and Clifford algebras. (English) Zbl 0752.17027 Helv. Phys. Acta 64, No. 1, 24-47 (1991). MSC: 17B70 15A66 81Q60 17B81 PDF BibTeX XML Cite \textit{J. Beckers} and \textit{N. Debergh}, Helv. Phys. Acta 64, No. 1, 24--47 (1991; Zbl 0752.17027)
Crescimanno, M. Exactness of the supersymmetric JWKB quantization formula. (English) Zbl 0726.58058 J. Math. Phys. 31, No. 12, 2946-2951 (1990). MSC: 58Z05 81Q60 34M99 PDF BibTeX XML Cite \textit{M. Crescimanno}, J. Math. Phys. 31, No. 12, 2946--2951 (1990; Zbl 0726.58058) Full Text: DOI
Beckers, J.; Debergh, N. On the Lie extended method in quantum physics and its supersymmetric version. (English) Zbl 0726.17004 J. Phys. A, Math. Gen. 23, No. 8, L353-L357 (1990). MSC: 17A70 81Q60 53D50 PDF BibTeX XML Cite \textit{J. Beckers} and \textit{N. Debergh}, J. Phys. A, Math. Gen. 23, No. 8, L353--L357 (1990; Zbl 0726.17004) Full Text: DOI
Arai, Asao Supersymmetric embedding of a model of a quantum harmonic oscillator interacting with infinitely many bosons. (English) Zbl 0674.58042 J. Math. Phys. 30, No. 2, 512-520 (1989). Reviewer: V.Silveira MSC: 58Z05 81T60 37J99 PDF BibTeX XML Cite \textit{A. Arai}, J. Math. Phys. 30, No. 2, 512--520 (1989; Zbl 0674.58042) Full Text: DOI
de Azcárraga, José A.; Lukierski, Jerzy Superalgebras with Grassmann-algebra-valued structure constants from superfields. (English) Zbl 0655.17010 J. Math. Phys. 29, No. 4, 797-801 (1988). Reviewer: G.Czichowski MSC: 17B70 81S05 81T60 17A70 PDF BibTeX XML Cite \textit{J. A. de Azcárraga} and \textit{J. Lukierski}, J. Math. Phys. 29, No. 4, 797--801 (1988; Zbl 0655.17010) Full Text: DOI
Beckers, J.; Dehin, D.; Hussin, V. On the Heisenberg and orthosymplectic superalgebras of the harmonic oscillator. (English) Zbl 0649.17004 J. Math. Phys. 29, No. 7, 1705-1711 (1988). Reviewer: M.Baake MSC: 17A70 81S99 17B70 PDF BibTeX XML Cite \textit{J. Beckers} et al., J. Math. Phys. 29, No. 7, 1705--1711 (1988; Zbl 0649.17004) Full Text: DOI
Englefield, M. J. Superalgebras and the supersymmetric harmonic oscillator. (English) Zbl 0649.17003 J. Phys. A 21, No. 6, 1309-1319 (1988). Reviewer: M.Baake MSC: 17A70 17B70 81S99 PDF BibTeX XML Cite \textit{M. J. Englefield}, J. Phys. A, Math. Gen. 21, No. 6, 1309--1319 (1988; Zbl 0649.17003) Full Text: DOI
Bacry, H.; Boon, M. Boson algebra as a symplectic Clifford algebra. (English) Zbl 0654.15020 J. Math. Phys. 28, 2639-2649 (1987). MSC: 15A66 15A90 81T60 PDF BibTeX XML Cite \textit{H. Bacry} and \textit{M. Boon}, J. Math. Phys. 28, 2639--2649 (1987; Zbl 0654.15020) Full Text: DOI
Beckers, J.; Dehin, D.; Hussin, V. Symmetries and supersymmetries of the quantum harmonic oscillator. (English) Zbl 0634.35074 J. Phys. A 20, 1137-1154 (1987). MSC: 35Q99 35A30 35J10 PDF BibTeX XML Cite \textit{J. Beckers} et al., J. Phys. A, Math. Gen. 20, 1137--1154 (1987; Zbl 0634.35074) Full Text: DOI
Wang, Qinmou Algebraic structure and kernel of the Schrödinger equation. (English) Zbl 0633.35017 J. Phys. A 20, 5041-5044 (1987). Reviewer: D.Ştefănescu MSC: 35J10 81T60 22E70 81Q30 PDF BibTeX XML Cite \textit{Q. Wang}, J. Phys. A, Math. Gen. 20, 5041--5044 (1987; Zbl 0633.35017) Full Text: DOI
Aragone, C.; Zypman, F. Supercoherent states. (English) Zbl 0626.58041 J. Phys. A 19, 2267-2279 (1986). MSC: 58Z05 81R30 PDF BibTeX XML Cite \textit{C. Aragone} and \textit{F. Zypman}, J. Phys. A, Math. Gen. 19, 2267--2279 (1986; Zbl 0626.58041) Full Text: DOI
Constantopoulos, J. P. Lie-admissible deformation of self-adjoint systems. (English) Zbl 0439.70017 Hadronic J. 3, 1281-1312 (1980). MSC: 70G99 81T60 81-01 70A05 PDF BibTeX XML Cite \textit{J. P. Constantopoulos}, Hadronic J. 3, 1281--1312 (1980; Zbl 0439.70017)