Bose description of the generalized Pauli spin operators and para super symmetry

DOI10.1142/S0219887817500591zbMath1362.81039OpenAlexW2563248879MaRDI QIDQ2977780

Won-Sang Chung

Publication date: 20 April 2017

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887817500591

zbMATH Keywords

generalized fermiongeneralized Pauli spinpara super symmetry

Mathematics Subject Classification ID

Spinor and twistor methods applied to problems in quantum theory (81R25) Many-body theory; quantum Hall effect (81V70) Supersymmetry and quantum mechanics (81Q60) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Cites Work

• The paraboson Fock space and unitary irreducible representations of the Lie superalgebra \({\mathfrak{osp}(1|2n)}\)
• A Lie superalgebraic interpretation of the para-Bose statistics
• Wigner approach to quantization. Noncanonical quantization of two particles interacting via a harmonic potential
• The parafermion Fock space and explicit \mathfrak{so}(2n+1) representations
• A Generalized Method of Field Quantization
• A generalization of field quantization and statistics

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