Abstract
In this paper we study the dynamics of a charge interacting with its own field in the one-dimensional case and in the spherically symmetric three-dimensional case. The Schrödinger equation with the nonstationary Hamiltonian is used. In this case, a nonstationary problem reducing to a nonlinear system of ordinary differential equations has been solved.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
V. V. Dodonov, V. I. Man’ko, and D. T. Nikonov, “Exact propagators for time-dependent Coulomb, delta and other potential,” Phys. Lett. A 162, 359–364 (1992).
A. S. Chikhachev, “Nonstationary self-consistent model for an ensemble in the self-field,” Tech. Phys. 59, 487–493 (2014).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated by G. Dedkov
Rights and permissions
About this article
Cite this article
Chikhachev, A.S. Quantum Problem on the Dynamics of an Electric Charge in Its Own Field. Phys. Part. Nuclei Lett. 17, 325–327 (2020). https://doi.org/10.1134/S154747712003005X
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S154747712003005X