Parastatistics and the Clifford algebra unitary group approach to the many-electron correlation problem

DOI10.1063/1.527762zbMath0635.22019OpenAlexW1976736225WikidataQ60732517 ScholiaQ60732517MaRDI QIDQ3774093

Josef Paldus, Mark D. Gould

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1063/1.527762

zbMATH Keywords

unitary groupClifford algebramatrix elementsmolecular electronic structurepara- Fermi algebra

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Applications of Lie groups to the sciences; explicit representations (22E70) Clifford algebras, spinors (15A66) Molecular physics (81V55)

Related Items (3)

Matrix elements of unitary group generators in many-fermion correlation problem. III. Green-Gould approach ⋮ Lie structures in parasupersymmetric quantum mechanics: I. The standard supersymmetrization procedure ⋮ Relationship between S N and U(n) isoscalar factors and higher-order U(n) invariants

Cites Work

• Multispinor basis for representations of SO(N)
• Symmetrised powers of rotation group representations
• Branching rules for classical Lie groups using tensor and spinor methods
• On the matrix elements of the U(n) generators
• Spinors in n Dimensions
• Spinor group and its restrictions
• On the Representations of the Semisimple Lie Groups. II
• Noninvariance Groups in the Second-Quantization Picture and Their Applications
• On the Concomitants of Spin Tensors

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