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Found 106 Documents (Results 1–100)

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Marikhina, A. V.; Marikhin, V. G.

Calculation of the discrete spectrum of some two-dimensional Schrödinger equations with a magnetic field. (English. Russian original) Zbl 1431.81058

Theor. Math. Phys. 197, No. 3, 1797-1805 (2018); translation from Teor. Mat. Fiz. 197, No. 3, 464-474 (2018).
MSC:  81Q10 81V10 81Q80 35P05
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\textit{A. V. Marikhina} and \textit{V. G. Marikhin}, Theor. Math. Phys. 197, No. 3, 1797--1805 (2018; Zbl 1431.81058); translation from Teor. Mat. Fiz. 197, No. 3, 464--474 (2018)
Full Text: DOI
Liu, Liyan; Hao, Qinghai

Planar hydrogen-like atom in inhomogeneous magnetic fields: exactly or quasi-exactly solvable models. (English. Russian original) Zbl 1327.81305

Theor. Math. Phys. 183, No. 2, 730-736 (2015); translation from Teor. Mat. Fiz. 183, No. 2, 329-336 (2015).
MSC:  81V45 81Q05 81U15
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\textit{L. Liu} and \textit{Q. Hao}, Theor. Math. Phys. 183, No. 2, 730--736 (2015; Zbl 1327.81305); translation from Teor. Mat. Fiz. 183, No. 2, 329--336 (2015)
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Spichak, Stanislav

On algebraic classification of Hermitian quasi-exactly solvable matrix Schrödinger operators on line. (English) Zbl 1235.35233

Ivanova, Nataliya (ed.) et al., Proceedings of the 5th international workshop on group analysis of differential equations and integrable systems, Protaras, Cyprus, June 6–10, 2011. Nicosia: University of Cyprus, Department of Mathematics and Statistics (ISBN 978-9963-700-07-3/pbk). 184-199 (2011).
MSC:  35Q40 35J10 17B81 81Q10
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\textit{S. Spichak}, in: Proceedings of the 5th international workshop on group analysis of differential equations and integrable systems, Protaras, Cyprus, June 6--10, 2011. Nicosia: University of Cyprus, Department of Mathematics and Statistics. 184--199 (2011; Zbl 1235.35233)
Gurappa, N.; Jha, Pankaj K.; Panigrahi, Prasanta K.

On the applications of a new technique to solve linear differential equations, with and without source. (English) Zbl 1134.33011

SIGMA, Symmetry Integrability Geom. Methods Appl. 3, Paper 057, 6 p. (2007).
Reviewer: Adem Kilicman (Mengabang Telipot)
MSC:  33C90 34A30 34A05 81U15
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\textit{N. Gurappa} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 3, Paper 057, 6 p. (2007; Zbl 1134.33011)
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Fasihi, Mohammad A.

One-dimensional quasi-exactly solvable differential equations. (English) Zbl 1112.34301

Mladenov, Ivaïlo (ed.) et al., Proceedings of the 7th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 2–10, 2005. Sofia: Bulgarian Academy of Sciences (ISBN 954-8495-30-9/pbk). 128-139 (2006).
Reviewer: Sergei A. Mazanik (Minsk)
MSC:  34A05
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\textit{M. A. Fasihi}, in: Proceedings of the 7th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 2--10, 2005. Sofia: Bulgarian Academy of Sciences. 128--139 (2006; Zbl 1112.34301)
Debergh, N.; Van den Bossche, B.

Supplementary solutions for quasi-exactly solvable one-dimensional equations. (English) Zbl 1093.81562

Nikitin, A.G.(ed.) et al., Proceedings of the fifth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, June 23–29, 2003. Part 2. Kyïv: Institute of Mathematics of NAS of Ukraine (ISBN 966-02-3226-8). Proceedings of the Institute of Mathematics of the National Academy of Sciences of Ukraine. Mathematics and its Applications. 50(2), 685-691 (2004).
Reviewer: O. O. Vaneeva (Kyïv)
MSC:  81V15 81R05
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\textit{N. Debergh} and \textit{B. Van den Bossche}, in: Proceedings of the fifth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, June 23--29, 2003. Part 2. Kyïv: Institute of Mathematics of NAS of Ukraine. 685--691 (2004; Zbl 1093.81562)
Znojil, Miloslav

Generalized Rayleigh-Schrödinger perturbation theory as a method of linearization of the so called quasi-exactly solvable models. (English) Zbl 1040.81018

Nikitin, A. G. (ed.) et al., Proceedings of the fourth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, July 9–15, 2001. Part 2. Dedicated to the 200th anniversary of M. Ostrohrads’kyi. Kyïv: Institute of Mathematics of NAS of Ukraine (ISBN 966-02-2486-9). Proc. Inst. Math. Natl. Acad. Sci. Ukr., Math. Appl. 43(2), 777-781 (2002).
Reviewer: A. Sergyeyev (Kyïv)
MSC:  81Q15 81U15 35B20
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\textit{M. Znojil}, in: Proceedings of the fourth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, July 9--15, 2001. Part 2. Dedicated to the 200th anniversary of M. Ostrohrads'kyi. Kyïv: Institute of Mathematics of NAS of Ukraine. 777--781 (2002; Zbl 1040.81018)
Full Text: arXiv
Debergh, Nathalie; Stancu, Florica

The Lipkin-Meshkov-Glick model and its deformations through polynomial algebras. (English) Zbl 1040.82013

Nikitin, A. G. (ed.) et al., Proceedings of the fourth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, July 9–15, 2001. Part 2. Dedicated to the 200th anniversary of M. Ostrohrads’kyi. Kyïv: Institute of Mathematics of NAS of Ukraine (ISBN 966-02-2486-9). Proc. Inst. Math. Natl. Acad. Sci. Ukr., Math. Appl. 43(2), 432-438 (2002).
Reviewer: A. Sergyeyev (Kyïv)
MSC:  82B23 17B81 81R05 81U15 81R50 20C35
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\textit{N. Debergh} and \textit{F. Stancu}, in: Proceedings of the fourth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, July 9--15, 2001. Part 2. Dedicated to the 200th anniversary of M. Ostrohrads'kyi. Kyïv: Institute of Mathematics of NAS of Ukraine. 432--438 (2002; Zbl 1040.82013)
Finkel, F.; González-López, A.; Rodríguez, M. A.

Periodic quasi-exactly solvable potentials. (English) Zbl 1033.81076

del Olmo Martínez, Mariano A. (ed.) et al., Proceedings of the 8th fall workshop on geometry and physics, Medina del Campo, Spain, September 23–25, 1999. Madrid: Real Sociedad Matemática Española (ISBN 84-923818-4-1/pbk). Publ. R. Soc. Mat. Esp. 2, 77-92 (2001).
Reviewer: Farruh Mukhamedov (Tashkent)
MSC:  81U15 34B30
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\textit{F. Finkel} et al., Publ. R. Soc. Mat. Esp. 2, 77--92 (2001; Zbl 1033.81076)
Finkel, F.; González-López, A.; Rodríguez, M. A.

Orthogonal polynomials and quasi-exactly solvable potentials on the line. (English) Zbl 0932.33016

Alfaro, M. (ed.) et al., International workshop on orthogonal polynomials in mathematical physics. Papers from the workshop, IWOP ’96, in honour of Professor André Ronveaux, Leganés, Spain, June 24–26, 1996. Leganés: Universidad Carlos III de Madrid, Servicio de Publicaciones. 73-80 (1997).
Reviewer: A.Klimyk (Kyïv)
MSC:  33C80 33C45 42C05 81Q05
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\textit{F. Finkel} et al., in: International workshop on orthogonal polynomials in mathematical physics. Papers from the workshop, IWOP '96, in honour of Professor André Ronveaux, Leganés, Spain, June 24--26, 1996. Leganés: Universidad Carlos III de Madrid, Servicio de Publicaciones. 73--80 (1997; Zbl 0932.33016)
González-López, A.; Kamran, N.; Olver, P. J.

Quasi-exact solvability in the real domain. (English) Zbl 0905.17024

Khanna, Faqir (ed.) et al., Field theory, integrable systems and symmetries. Congress of the Canadian Association of Physicists (CAP) on the occasion of 50th anniversary, June 11–16, 1995, Quebec, CA. Montréal: Les Publications CRM. 58-70 (1997).
MSC:  17B66 34L40
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\textit{A. González-López} et al., in: Field theory, integrable systems and symmetries. Congress of the Canadian Association of Physicists (CAP) on the occasion of 50th anniversary, June 11--16, 1995, Quebec, CA. Montréal: Les Publications CRM. 58--70 (1997; Zbl 0905.17024)
Ushveridze, A. G.

Quasi-exactly solvable models and \(W\)-algebras. (English) Zbl 0918.17020

Doebner, H.-D. (ed.) et al., Lie theory and its applications in physics. Proceedings of the international workshop, Clausthal, Germany, August 14–17, 1995. Singapore: World Scientific. 258-272 (1996).
MSC:  17B68 82B23 81R10
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\textit{A. G. Ushveridze}, in: Lie theory and its applications in physics. Proceedings of the international workshop, Clausthal, Germany, August 14--17, 1995. Singapore: World Scientific. 258--272 (1996; Zbl 0918.17020)
Full Text: arXiv
Dobrev, V. K.; Truini, P.

Gel’fand pattern and polynomial representations of quantum groups. (English) Zbl 0918.17016

Doebner, H.-D. (ed.) et al., Lie theory and its applications in physics. Proceedings of the international workshop, Clausthal, Germany, August 14–17, 1995. Singapore: World Scientific. 159-170 (1996).
MSC:  17B37 39A70 81R50
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\textit{V. K. Dobrev} and \textit{P. Truini}, in: Lie theory and its applications in physics. Proceedings of the international workshop, Clausthal, Germany, August 14--17, 1995. Singapore: World Scientific. 159--170 (1996; Zbl 0918.17016)
Finkel, Federico; González-López, Artemio; Kamran, Niky; Olver, Peter J.; Rodríguez, Miguel A.

Lie algebras of differential operators and partial integrability. (English) Zbl 0928.58035

Salgado, Modesto (ed.) et al., WOGDA ’95. Proceedings of the 4th fall workshop on differential geometry and its applications, Santiago de Compostela, Spain, September 18-20, 1995. Madrid: CIEMAT. An. Fís., Monogr. 3, 29-53 (1996).
Reviewer: M.Marvan (Opava)
MSC:  58J70 17B66
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\textit{F. Finkel} et al., An. Fís., Monogr. 3, 29--53 (1996; Zbl 0928.58035)
Full Text: arXiv
Shifman, Mikhail A.

Quasi-exactly-solvable spectral problems and conformal field theory. (English) Zbl 0805.58065

Kamran, Niky (ed.) et al., Lie algebras, cohomology, and new applications to quantum mechanics. AMS special session on Lie algebras, cohomology, and new applications to quantum mechanics, March 20-21, 1992, Southwest Missouri State University, Springfield, MO, USA. Providence, RI: American Mathematical Society. Contemp. Math. 160, 237-262 (1994).
MSC:  58Z05 81Q10 81T40 81Q05 17B81
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\textit{M. A. Shifman}, Contemp. Math. 160, 237--262 (1994; Zbl 0805.58065)
González-López, Artemio; Kamran, Niky; Olver, Peter J.

Quasi-exact solvability. (English) Zbl 0805.58064

Kamran, Niky (ed.) et al., Lie algebras, cohomology, and new applications to quantum mechanics. AMS special session on Lie algebras, cohomology, and new applications to quantum mechanics, March 20-21, 1992, Southwest Missouri State University, Springfield, MO, USA. Providence, RI: American Mathematical Society. Contemp. Math. 160, 113-140 (1994).
MSC:  58Z05 81Q05 81Q10 17B81 17B66
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\textit{A. González-López} et al., Contemp. Math. 160, 113--140 (1994; Zbl 0805.58064)
Létourneau, Pascal; Vinet, Luc

Quadratic algebras in quantum mechanics. (English) Zbl 0848.17039

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. 373-382 (1993).
MSC:  17B81 81Q05 81R99
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\textit{P. Létourneau} and \textit{L. Vinet}, 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. 373--382 (1993; Zbl 0848.17039)

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