Matrix elements of unitary group generators in many-fermion correlation problem. II: Graphical methods of spin algebras

DOI10.1007/s10910-020-01173-8zbMath1466.81148OpenAlexW3089087489MaRDI QIDQ830858

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/s10910-020-01173-8

zbMATH Keywords

graphical methods of spin algebrasgraphical UGA (GUGA)many-electron correlation problemme segmentationMEs of spin-dependent \(U(2n)\)one- and two-body 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

• Matrix elements of unitary group generators in many-fermion correlation problem. I: Tensorial approaches
• 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
• Characteristic Identities for Generators of GL(n), O(n) and Sp(n)
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