Supersymmetry, parastatistics, and operator realizations of a Lie algebra

DOI10.1063/1.528170zbMath0653.17013OpenAlexW1972326257WikidataQ115331932 ScholiaQ115331932MaRDI QIDQ3798827

Surendra Kumar Soni, S. N. Biswas

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1063/1.528170

zbMATH Keywords

generatorsalgebraic relationsorthosymplectic Lie superalgebrasparastatisticssuper-symmetric quantum mechanicspara-Fermi operatorspara-Bose operators

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (7)

Bose description of the deformed parabose oscillator with \(Z_p\)-graded reflection symmetry ⋮ Minimum polynomial for single-mode parabose parasupercharge and Hamiltonian ⋮ Gradings, braidings, representations, paraparticles: some open problems ⋮ FOCK SPACE STRUCTURE FOR THE SIMPLEST PARASUPERSYMMETRIC SYSTEM ⋮ Hopf algebraic structure of the parabosonic and parafermionic algebras and paraparticle generalization of the Jordan–Schwinger map ⋮ Parastatistics, supersymmetry and parasupercoherent states ⋮ Positive discrete series of osp(2‖2,R) and (para)supersymmetric quantum mechanics

Cites Work

• Dynamical breaking of supersymmetry
• Irreducible Representations of Generalized Oscillator Operators
• A Generalized Method of Field Quantization

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