RELATIVISTIC QUANTUM MECHANICS FOR SCALAR PARTICLES AND SPINOR PARTICLES IN THE BELTRAMI-DE SITTER SPACETIME | Zendy

LI GUANG-YI | Zendy; Han-Ying Guo | Zendy

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RELATIVISTIC QUANTUM MECHANICS FOR SCALAR PARTICLES AND SPINOR PARTICLES IN THE BELTRAMI-DE SITTER SPACETIME

Author(s) -

LI GUANG-YI,

Han-Ying Guo

Publication year - 1982

Publication title -

acta physica sinica

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.

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