DOI 10.1007/s100520000257
Quantum-invariant theory and the evolution of a Dirac field in Friedmann-Robertson-Walker flat space-times
Xiao-Chun Gao1,2 - Jian Fu3 - Jian-Qi Shen2
1 Chinese Center of Advanced Science and Technology (World
Laboratory), P.O. Box 8730, Beijing, P.R. China
2 Zhejiang Institute of Modern Physics and Department of Physics,
Zhejiang, University, Hangzhou, 310027, P.R. China
3 State Key Laboratory for Modern Optical Instrumentation, COER, Zhejiang
University, Hangzhou, 310027, P.R. China
Received: 17 July 1999 / Published online: 6 March 2000 - © Springer-Verlag 2000
Abstract
On the basis of the generalized invariant formulation, the invariant-related
unitary transformation method is used to study the evolution of a quantum
Dirac field in Friedmann-Robertson-Walker spatially flat space-times. We
first solve the functional Schrödinger equation for a free Dirac field and
obtain the exact solutions. We then investigate the way of extending the
method to treat the case in which there is an interaction between the Dirac
field and a scalar field.
Copyright Società Italiana di Fisica, Springer-Verlag 2000
