The European Physical Journal C - Particles and Fields

, Volume 13, Issue 3, pp 527–541

Quantum-invariant theory and the evolution of a Dirac field in Friedmann–Robertson–Walker flat space-times

Authors

  • Xiao-Chun Gao
    • Chinese Center of Advanced Science and Technology (World Laboratory), P.O. Box 8730, Beijing, P.R. China
  • Jian Fu
    • State Key Laboratory for Modern Optical Instrumentation, COER, Zhejiang University, Hangzhou, 310027, P.R. China
  • Jian-Qi Shen
    • Zhejiang Institute of Modern Physics and Department of Physics, Zhejiang, University, Hangzhou, 310027, P.R. China
Theoretical physics

DOI: 10.1007/s100520000257

Cite this article as:
Gao, X., Fu, J. & Shen, J. Eur. Phys. J. C (2000) 13: 527. doi:10.1007/s100520000257

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 information

© Springer-Verlag Berlin Heidelberg 2000