%0 Journal Article
%T RELATIVISTIC QUANTUM MECHANICS FOR SCALAR PARTICLES AND SPINOR PARTICLES IN THE BELTRAMI-DE SITTER SPACETIME<br>Beltrami-de Sitter时空中标量和旋量粒子的量子理论
%A LI GUANG-YI
%A GUO HAN-YING
%A <br>李光仪
%A 郭汉英
%J 物理学报
%D 1982
%I 
%X 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.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=87D9F410BD2F7575247332D78EF3C40A&yid=3F3D540C9B7906DE&vid=4AD960B5AD2D111A&iid=708DD6B15D2464E8&sid=76DA548BC2ECBC62&eid=C32BEECEF5323D34&journal_id=1000-3290&journal_name=物理学报&referenced_num=3&reference_num=0