Particle with a time-dependent mass in the Coulomb and the inverse quadratic potentials

DOI10.1142/S0219887818500573zbMath1383.81082OpenAlexW2769314678MaRDI QIDQ4609886

Badri Berrabah, B. Bentag, Ahmida Bendjoudi

Publication date: 26 March 2018

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887818500573

zbMATH Keywords

path integralenergy spectrumwave functionsCoulomb potentialtime-dependent mass

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) Path integrals in quantum mechanics (81S40) Atomic physics (81V45) Time-dependent Schrödinger equations and Dirac equations (35Q41) Green's functions for elliptic equations (35J08)

Cites Work

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• Davydov-Chaban Hamiltonian in presence of time-dependent potential
• Separation of variables in path integrals and path integral solution of two potentials on the Poincare upper half-plane
• On the use of spacetime transformations in path integration
• Path Integral Solution for an Angle-Dependent Anharmonic Oscillator
• Exact Quantization Conditions. II

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