Open AccessRELATIVISTIC QUANTUM MECHANICS FOR SCALAR PARTICLES AND SPINOR PARTICLES IN THE BELTRAMI-DE SITTER SPACETIME
Author(s) -
LI GUANG-YI,
Hongxia Guo
Publication year - 1982
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.31.1501
Subject(s) - de sitter invariant special relativity , physics , de sitter universe , minkowski space , de sitter space , spacetime , mathematical physics , de sitter–schwarzschild metric , stationary spacetime , dirac equation , anti de sitter space , classical mechanics , klein–gordon equation , quantum field theory in curved spacetime , relativistic wave equations , background independence , spinor , quantum mechanics , universe , quantum , quantum gravity , schwarzschild radius , nonlinear system
Following the procedure to transmute the relativistic theory of classical particles to quantum theory in the Minkowski spacetime, we have proposed a scheme to establish relativistic wave equations for scalar particles and spinor particles in the Beltrami-de Sitter spacetime. It is shown that these equations are invariant under the transformations of the de Sitter group and are just the Klein-Gordon equation and the Dirac equation in the Beltrami-de Sitter spacetime respectively. The eigenfunctions and the corresponding discrete eigenvalues of these equations on the metric of a family of space-like simultaneous hypersurfaces in the Beltrami-de Sitter spacetime have been obtained.