Invariant formulation and exact solutions for the relativistic charged Klein-Gordon field in a time-dependent spatially homogeneous electric field
- 1 February 1998
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 57 (2) , 753-761
- https://doi.org/10.1103/physreva.57.753
Abstract
On the basis of the invariant formulation, we find the quantum and classical exact solutions and corresponding total phase for the relativistic charged Klein-Gordon (KG) field in a time-dependent spatially homogeneous electric field. The total phase includes both the dynamical and geometric phases (Aharonov-Anandan phases). The connection between the quantum and classical solutions is then obtained. From this connection we discuss the condition under which the geometric phase for the KG field can be defined.Keywords
This publication has 14 references indexed in Scilit:
- Method of invariant in nonstationary field theoryThe European Physical Journal C, 1993
- Measurement of time-dependent quantum phasesPhysical Review A, 1993
- Invariants and geometric phase for systems with non-Hermitian time-dependent HamiltoniansPhysical Review A, 1992
- Geometric phase and the generalized invariant formulationPhysical Review A, 1991
- Non-adiabatic non-abelian geometric phasePhysics Letters A, 1988
- Phase change during a cyclic quantum evolutionPhysical Review Letters, 1987
- Appearance of Gauge Structure in Simple Dynamical SystemsPhysical Review Letters, 1984
- Quantal phase factors accompanying adiabatic changesProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1984
- Holonomy, the Quantum Adiabatic Theorem, and Berry's PhasePhysical Review Letters, 1983
- An Exact Quantum Theory of the Time-Dependent Harmonic Oscillator and of a Charged Particle in a Time-Dependent Electromagnetic FieldJournal of Mathematical Physics, 1969