Invariant-related unitary transformation method and exact solutions for the quantum Dirac field in a time-dependent spatially homogeneous electric field

Citation
J. Fu et al., Invariant-related unitary transformation method and exact solutions for the quantum Dirac field in a time-dependent spatially homogeneous electric field, ACT PHY C E, 48(6), 1999, pp. 1011-1022
Citations number
16
Categorie Soggetti
Physics
Journal title
WULI XUEBAO
ISSN journal
10003290 → ACNP
Volume
48
Issue
6
Year of publication
1999
Pages
1011 - 1022
Database
ISI
SICI code
1000-3290(199906)48:6<1011:IUTMAE>2.0.ZU;2-D
Abstract
On the basis of the generalized invariant formulation, the invariant-relate d unitary transformation method is used to study the evolution of the quant um Dirac field in a time-dependent spatially homogeneous electric field. We solve the functional Schrodinger equation for the Dirac field and obtain t he exact solutions and corresponding total phase. The total phase includes both the dynamical phase and geometric phase (Aharonov-Anandan phase).