%0 Journal Article
%T Discrete Symmetry in Relativistic Quantum Mechanics
%A Guang-jiong Ni
%A Suqing Chen
%A Jianjun Xu
%J Journal of Modern Physics
%P 651-675
%@ 2153-120X
%D 2013
%I Scientific Research Publishing
%R 10.4236/jmp.2013.45094
%X <p align=\"justify\">
	<span><span style=\"font-family:Verdana;\">EPR experiment on <img style=\"width:55px;height:13px;\" alt=\"\" src=\"Edit_cecdee75-214f-4ce3-9493-dcdca36aaf80.bmp\" width=\"119\" height=\"24\" /></span></span><span><span style=\"font-family:Verdana;\">system in 1998 [1] strongly hints that one should use operators <img style=\"width:75px;height:17px;\" alt=\"\" src=\"Edit_2e9709d0-77f5-4661-af48-27680a9df60e.bmp\" width=\"126\" height=\"38\" /></span></span><span></span><span><span style=\"font-family:verdana;\"> </span><span style=\"font-family:Verdana;\">and <img style=\"width:61px;height:12px;\" alt=\"\" src=\"Edit_f1b18f81-04d9-49f8-8ee5-9327ad725326.bmp\" width=\"95\" height=\"27\" /></span></span><span></span><span><span style=\"font-family:verdana;\"> </span><span style=\"font-family:Verdana;\">for the wavefunction (WF) of antiparticle. Further analysis on Klein-Gordon (KG) equation reveals that there is a discrete symmetry hiding in relativistic quantum mechanics (RQM) that <i>P</i>T=C. Here <i>P</i>T</span><span style=\"font-family:verdana;\"> </span><span style=\"font-family:Verdana;\">means the (newly defined) combined space-time inversion (with <i>x</i></span></span><i><span style=\"font-family:verdana;\">¡ú</span><span style=\"font-family:verdana;\">-x,t</span><span style=\"font-family:verdana;\">¡ú</span><span style=\"font-family:verdana;\">-t</span></i>), while C<span></span><span><span style=\"font-family:verdana;\"> </span><span style=\"font-family:Verdana;\">the transformation of WF <i></i></span></span><i><span style=\"font-family:verdana;\">¦·</span><span style=\"font-family:verdana;\"></span></i> between particle and its antiparticle whose definition is just residing in the above symmetry. After combining with Feshbach-Villars (FV) dissociation of KG equation (<i><span style=\"font-family:verdana;\">¦·</span><span style=\"font-family:verdana;\">=</span><span style=\"font-family:verdana;\">¦Õ</span><span style=\"font-family:verdana;\">+</span><span style=\"font-family:verdana;\">x</span><span><span style=\"font-family:Verdana;\"></span></span></i>) <span style=\"font-family:Verdana;\">[2], this discrete symmetry can be rigorously reformulated by the invariance of coupling equation of <i></i></span><i><span style=\"font-family:verdana;\">¦Õ</span></i> <span style=\"font-family:verdana;\">and <i></i></span><i><span style=\"font-family:verdana;\">x</span></i> <span style=\"font-family:verdana;\">under either the combined space-time inversion <i>P</i>T or the mass inversion (<i>m</i></span><i><span
%K CPT Invariance
%K Antiparticle
%K Quantum Mechanics
%K Quantum Field Theory
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=31935