Open AccessINVARIANT-RELATED UNITARY TRANSFORMATION METHOD AND EXACT SOLUTIONS FOR THE QUANTUM DIRAC FIELD IN A TIME-DEPENDENT SPATIALLY HOMOGENEOUS ELECTRIC FIELD
Author(s) -
Jian Fu,
Xiao-Chun Gao,
JingBo Xu,
Zou Xu-Bo
Publication year - 1999
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.48.1011
Subject(s) - unitary transformation , invariant (physics) , physics , dirac equation , geometric phase , dirac (video compression format) , transformation (genetics) , electric field , mathematical physics , unitary state , field (mathematics) , homogeneous , two body dirac equations , quantum mechanics , quantum , mathematics , statistical physics , pure mathematics , biochemistry , chemistry , political science , law , neutrino , gene
On the basis of the generalized invariant formulation, the invariant-related unitary transformation method is used to study the evolution of the quantum Dirac field in a time-dependent spatially homogeneous electric field. We solve the functional Schr?dinger equation for the Dirac field and obtain the exact solutions and corresponding total phase. The total phase includes both the dynamical phase and geometric phase (Aharonov-Anandan phase).