2023 Impact factor 4.2
Particles and Fields
Eur. Phys. J. C 13, 527-541
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

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