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Found 49 Documents (Results 1–49)

Elliptic hypergeometric function and \(6j\)-symbols for the \(SL(2,{\mathbb C})\) group. (English. Russian original) Zbl 1516.33011

Theor. Math. Phys. 213, No. 1, 1406-1422 (2022); translation from Teor. Mat. Fiz. 213, No. 1, 108-128 (2022).
MSC:  33C80 33C45
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Deformed ladder operators for the generalized one- and two-mode squeezed harmonic oscillator in the presence of a minimal length. (English. Russian original) Zbl 1515.81102

Theor. Math. Phys. 211, No. 1, 532-544 (2022); translation from Teor. Mat. Fiz. 211, No. 1, 105-120 (2022).
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On two direct limits relating pseudo-Jacobi polynomials to Hermite polynomials and the pseudo-Jacobi oscillator in a homogeneous gravitational field. (English. Russian original) Zbl 1487.33010

Theor. Math. Phys. 210, No. 1, 121-134 (2022); translation from Teor. Mat. Fiz. 210, No. 1, 140-155 (2022).
MSC:  33C45
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Relativistic linear oscillator under the action of a constant external force. Wave functions and dynamical symmetry group. (English. Russian original) Zbl 1482.81012

Theor. Math. Phys. 208, No. 3, 1265-1276 (2021); translation from Teor. Mat. Fiz. 208, No. 3, 481-494 (2021).
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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).
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Erratum to: “Series solution of a ten-parameter second-order differential equation with three regular singularities and one irregular singularity”. (English. Russian original) Zbl 1451.81235

Theor. Math. Phys. 205, No. 1, 1391 (2020); translation from Teor. Mat. Fiz. 205, No. 1, 168 (2020).
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Series solution of a ten-parameter second-order differential equation with three regular singularities and one irregular singularity. (English. Russian original) Zbl 1445.81021

Theor. Math. Phys. 202, No. 1, 17-29 (2020); translation from Teor. Mat. Fiz. 202, No. 1, 20-33 (2020); correction ibid. 205, No. 1, 1391 (2020).
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Local perturbation of the discrete Schrödinger operator and a generalized Chebyshev oscillator. (English. Russian original) Zbl 1436.81041

Theor. Math. Phys. 200, No. 3, 1348-1359 (2019); translation from Teor. Mat. Fiz. 200, No. 3, 494-506 (2019).
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Toward an analytic perturbative solution for the ABJM quantum spectral curve. (English. Russian original) Zbl 1421.82006

Theor. Math. Phys. 198, No. 2, 256-270 (2019); translation from Teor. Mat. Fiz. 198, No. 2, 292-308 (2019).
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Algebraic aspects of the dynamics of quantum multilevel systems in the projection operator technique. (English. Russian original) Zbl 1401.81083

Theor. Math. Phys. 194, No. 2, 220-235 (2018); translation from Teor. Mat. Fiz. 194, No. 2, 259-276 (2018).
MSC:  81V22 81Q10
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Four-parameter \(1/r^2\) singular short-range potential with rich bound states and a resonance spectrum. (English. Russian original) Zbl 1398.81083

Theor. Math. Phys. 195, No. 3, 861-873 (2018); translation from Teor. Mat. Fiz. 195, No. 3, 422-436 (2018).
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Invariance of the generalized oscillator under a linear transformation of the related system of orthogonal polynomials. (English. Russian original) Zbl 1370.33009

Theor. Math. Phys. 190, No. 2, 228-236 (2017); translation from Teor. Mat. Fiz. 190, No. 2, 267-276 (2017).
MSC:  33C45 81R05
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Functions orthogonal to polynomials and their application in axially symmetric problems in physics. (English. Russian original) Zbl 1311.42062

Theor. Math. Phys. 179, No. 2, 574-587 (2014); translation from Teor. Mat. Fiz. 179, No. 2, 225-241 (2014).
MSC:  42C05 45B05
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\(N\)-symmetric Chebyshev polynomials in a composite model of a generalized oscillator. (English. Russian original) Zbl 1274.81275

Theor. Math. Phys. 169, No. 2, 1561-1572 (2011); translation from Teor. Mat. Fiz. 169, No. 2, 229-240 (2011).
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Generalized coherent states for oscillators associated with the Charlier \(q\) -polynomials. (English. Russian original) Zbl 1155.81339

Theor. Math. Phys. 155, No. 1, 536-543 (2008); translation from Teor. Mat. Fiz. 155, No. 1, 39-46 (2008).
MSC:  81R30 81Q05
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Explicit computations of low-lying eigenfunctions for the quantum trigonometric Calogero-Sutherland model related to the exceptional algebra \(E _{7}\). (English. Russian original) Zbl 1163.81006

Theor. Math. Phys. 154, No. 2, 240-249 (2008); translation from Teor. Mat. Fiz. 154, No. 2, 283-293 (2008).
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Special polynomials and rational solutions of the hierarchy of the second Painlevé equation. (English. Russian original) Zbl 1138.35388

Theor. Math. Phys. 153, No. 1, 1398-1406 (2007); translation from Teor. Mat. Fiz. 153, No. 1, 58-67 (2007).
MSC:  35Q53 37K10 33C47
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Toda chain, Stieltjes function, and orthogonal polynomials. (English. Russian original) Zbl 1121.37054

Theor. Math. Phys. 151, No. 1, 505-528 (2007); translation from Teor. Mat. Fiz. 151, No. 1, 81-108 (2007).
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Orthogonal polynomials of a discrete variable and Lie algebras of matrices of complex order. (English. Russian original) Zbl 1017.17021

Theor. Math. Phys. 123, No. 2, 582-608 (2000); translation from Teor. Mat. Fiz. 123, No. 2, 205-236 (2000).
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Solution of the spectral problem for the Schrödinger equation with a degenerate polynomial potential of even power. (English. Russian original) Zbl 0940.34068

Theor. Math. Phys. 109, No. 1, 1329-1341 (1996); translation from Teor. Mat. Fiz. 109, No. 1, 107-123 (1996).
MSC:  34L40 81Q05 34L15
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