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

  • Xiao-Chun Gao
  • Jian Fu
  • Jian-Qi Shen
Theoretical physics

DOI: 10.1007/s100520000257

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


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

Authors and Affiliations

  • Xiao-Chun Gao
    • 1
  • Jian Fu
    • 3
  • Jian-Qi Shen
    • 2
  1. 1.Chinese Center of Advanced Science and Technology (World Laboratory), P.O. Box 8730, Beijing, P.R. China CN
  2. 2.Zhejiang Institute of Modern Physics and Department of Physics, Zhejiang, University, Hangzhou, 310027, P.R. China CN
  3. 3.State Key Laboratory for Modern Optical Instrumentation, COER, Zhejiang University, Hangzhou, 310027, P.R. China CN