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- Title
Quantum Coulomb problem in a Gaussian time-dependent electric field within the path integral formalism.
- Authors
Bedida, N.; Fadhel, S.; Difallah, M.; Meftah, M. T.
- Abstract
We solve the Coulomb problem in nonrelativistic quantum mechanics with a charge depending on a parameter that plays the role of time. The choice of this dependence is needed, for example, after certain spatio–temporal transformations when dealing with the interaction of a "small" system (quantum sub-system) with a "large" system, e.g., a bath. These spatio–temporal transformations, combined with path integral, allow us to find the Feynman propagator of the quantum subsystem. To test our approach, we derive the pure Coulomb Green's function as a limit of our result.
- Subjects
PATH integrals; GREEN'S functions; NONRELATIVISTIC quantum mechanics; ELECTRIC fields; COULOMB potential
- Publication
Theoretical & Mathematical Physics, 2023, Vol 215, Issue 1, p551
- ISSN
0040-5779
- Publication type
Article
- DOI
10.1134/S0040577923040062