<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>5</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Sihong Shao</style></author><author><style face="normal" font="default" size="100%">Zhendong Li</style></author><author><style face="normal" font="default" size="100%">Wenjian Liu</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Basic Structures of Relativistic Wave Functions </style></title><secondary-title><style face="normal" font="default" size="100%">Handbook of Relativistic Quantum Chemistry</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2017</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://link.springer.com/referenceworkentry/10.1007%2F978-3-642-41611-8_7-1</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">Springer</style></publisher><pub-location><style face="normal" font="default" size="100%">Berlin</style></pub-location><pages><style face="normal" font="default" size="100%">481-496</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">It is shown that relativistic many-body Hamiltonians and wave functions can beexpressed systematically with Tracy-Singh products for partitioned matrices. The latter gives rise to the usual notion for a relativistic $N$-electron wave function: A column vector composed of $2^N$ blocks, each of which consists of $2^N$ components formed by the Kronecker products of $N$ one-electron 2-spinors. Yet, the noncommutativity of the Tracy-Singh product dictates that the chosen serial ordering of electronic coordinates cannot be altered when antisymmetrizing a Tracy-Singh product of 4-spinors. It is further shown that such algebraic representation uncovers readily the internal symmetries of the relativistic Hamiltonians and wave functions, which are crucial for deriving the electron-electron coalescence conditions. </style></abstract></record></records></xml>