Matrix elements of unitary group generators in many-fermion correlation problem. III. Green-Gould approach

DOI10.1007/S10910-020-01174-7zbMath1466.81149OpenAlexW3090448936MaRDI QIDQ830859

Josef Paldus

Publication date: 10 May 2021

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-020-01174-7

zbMATH Keywords

generator polynomial identitiesGreen-Gould approachmany-electron correlation problemspin-dependent MEsUGA generator matrix elements (MEs)unitary group approach (UGA)

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Applications of Lie groups to the sciences; explicit representations (22E70) Spinor and twistor methods applied to problems in quantum theory (81R25) Many-body theory; quantum Hall effect (81V70) Unitary representations of locally compact groups (22D10) Quantum state spaces, operational and probabilistic concepts (81P16) Fermionic systems in quantum theory (81V74)

Cites Work

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• The unitary group for the evaluation of electronic energy matrix elements. (Based on a workshop conducted at the Centre for Interdisciplinary Studies of the University of Bielefeld, November 1979)
• Valence bond approach and Verma bases
• Parastatistics and the Clifford algebra unitary group approach to the many-electron correlation problem
• On an infinitesimal approach to semisimple Lie groups and raising and lowering operators of O(n) and U(n)
• On the matrix elements of the U(n) generators
• Spinor group and its restrictions
• Characteristic Identities for Generators of GL(n), O(n) and Sp(n)

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