Invariant theory and exact solutions for the quantum Dirac field in a time-dependent spatially homogeneous electric field

Authors
Gao, XC Fu, J Xu, JB Zou, XB
Citation
Xc. Gao et al., Invariant theory and exact solutions for the quantum Dirac field in a time-dependent spatially homogeneous electric field, PHYS REV A, 59(1), 1999, pp. 55-63
Citations number
13
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW A
ISSN journal
10502947 → ACNP
Volume
59
Issue
1
Year of publication
1999
Pages
55 - 63
Database
ISI
SICI code
1050-2947(199901)59:1<55:ITAESF>2.0.ZU;2-R
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). [S10 50-2947(98)07512-X].