Relativistic linear oscillator under the action of a constant external force. Wave functions and dynamical symmetry group

DOI10.1134/S0040577921090087zbMath1482.81012OpenAlexW3202547853MaRDI QIDQ2056819

R. M. Mir-Kasimov, Sh. N. Nagiyev

Publication date: 8 December 2021

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577921090087

zbMATH Keywords

finite-difference equationuniform fielddynamical symmetry grouprelation between orthogonal polynomialsrelativistic linear oscillator model

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Finite difference and finite volume methods for ordinary differential equations (65L12) Open systems, reduced dynamics, master equations, decoherence (81S22)

Related Items (1)

Relativistic linear oscillator under the action of a constant external force. Transition amplitudes and the Green’s function

Cites Work

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