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Phys. Rev. A 59, 55 - 63 (1999)

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

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Xiao-Chun Gao1,2, Jian Fu2, Jinbo Xu1,2, and Xubo Zou2
1Chinese Center of Advanced Science and Technology (World Laboratory), P.O. Box 8730, Beijing, People’s Republic of China
2Zhejiang Institute of Modern Physics and Department of Physics, Zhejiang University, Hangzhou, 310027, People’s Republic of China

Received 17 August 1998

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 Schrödinger 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).


©1999 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevA.59.55
DOI: 10.1103/PhysRevA.59.55
PACS: 03.65.Pm, 03.65.Bz

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