@inbook {26663,
	title = {Basic Structures of Relativistic Wave Functions },
	booktitle = {Handbook of Relativistic Quantum Chemistry},
	year = {2017},
	pages = {481-496},
	publisher = {Springer},
	organization = {Springer},
	address = {Berlin},
	abstract = {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. },
	url = {https://link.springer.com/referenceworkentry/10.1007\%2F978-3-642-41611-8_7-1},
	author = {Sihong Shao and Zhendong Li and Wenjian Liu}
}
