Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Propagator for a Charged Particle in Time-Dependent Electromagnetic Field and Quadratic Potential

Bin Kan Cheng

Published Jan 1, 1987• 0 citations
OpenAlex

Abstract

Through a t ime-dependent l inear transformation a nd the time substitution, we can evaluate exactly the propagator for a charged par- ticle in a time-dependent electromagnetic f ield subjected to a time- -dependent quadratic potential.

Related papers

Propagator for a charged particle in a time-dependent electromagnetic field

Bin Kang Cheng

Physics Letters A•Feb 1, 1984•4 citations

Path Integral Approach to the Propagator for a Charged Particle in a Time-Dependent Electromagnetic Field

Jing‐Bo Xu, Yu-jun ZHAO, Xiao-Chun Gao

A path integral method is used to study the time evolution of a three-dimensional time-dependent system. The propagator for a charged particle in a time-dependent magnetic field and quadrupolar electric potential is obtained.

Communications in Theoretical Physics•Sep 15, 1994•0 citations

The propagator for a charged oscillator with a time-dependent mass in a time-varying electromagnetic field

ALVARO DE SOUZA DUTRA, Carlos Farina de Souza, Luiz Claudio M. de Albuquerque

Physics Letters A•Jul 1, 1991•21 citations

Propagators for time-dependent linear and quadratic potentials and inverse Weierstrass transform

B. Bassetti, E. Montaldi, Mario Raciti

Physics Letters A•Jul 1, 1982•2 citations

Lie algebraic approach to the time-dependent quantum general harmonic oscillator and the bi-dimensional charged particle in time-dependent electromagnetic fields

Victor Guadalupe Ibarra‐Sierra, Juan Carlos Sandoval-Santana, J. L. Cardoso +1 more

Annals of Physics•Jul 31, 2015•25 citations

Feynman’s propagator for a charged particle with time-dependent mass in a crossed time-varying electromagnetic field

ALVARO DE SOUZA DUTRA, Bin Kang Cheng

Through a sequence of time-dependent transformations and time substitution, we evaluate the propagator of a harmonically bound charged particle with time-dependent mass in a time-varying electromagnetic field by relating it to those of free particles. From this propagator we derive the wave functions. The propagators beyond and at caustics are then investigated, respectively, by including the Maslov phase factor and by using the modified semigroup property. Finally, we calculate explicitly the propagator for the constant-damping case.

Physical Review A•Jun 1, 1989•17 citations
Through a sequence of time-dependent transformations and time substitution, we evaluate the propagator of a harmonically bound charged particle with time-dependent mass in a time-varying electromagnetic field by relating it to those of free particles. From this propagator we derive the wave functions. The propagators beyond and at caustics are then investigated, respectively, by including the Maslov phase factor and by using the modified semigroup property. Finally, we calculate explicitly the propagator for the constant-damping case.