An axiomatic approach to the number operator and its application to parastatistics

DOI10.1016/0034-4877(75)90031-2zbMath0317.46060OpenAlexW2027338021MaRDI QIDQ1221907

Igor Szczyrba

Publication date: 1975

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(75)90031-2

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Groups and semigroups of linear operators (47D03) Applications of Lie groups to the sciences; explicit representations (22E70) Miscellaneous applications of functional analysis (46N99) Axiomatics, foundations (70A05)

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Cites Work

• On the multiplicities of irreducible representations of U(n) in some particular cases
• On generalized field quantization procedures
• Correspondence between the first- and second-quantized theories of paraparticles
• On Alternate Commutation Relations
• Classification of Paraparticles
• A generalization of field quantization and statistics
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