Generalized Fock Spaces and New Forms of Quantum Statistics

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dc.contributor.author Mishra A.K.
dc.contributor.author Rajasekaran G.
dc.date.accessioned 2023-11-03T11:57:29Z
dc.date.available 2023-11-03T11:57:29Z
dc.date.issued 2000
dc.identifier 10.48550/arXiv.hep-th/0105003
dc.identifier.uri https://dspace.imsc.res.in/xmlui/handle/123456789/819
dc.identifier.uri https://doi.org/10.48550/arXiv.hep-th/0105003
dc.description.abstract The recent discoveries of new forms of quantum statistics require a close look at the under-lying Fock space structure. This exercise becomes all the more important in order to provide a general classification scheme for various forms of statistics, and establish interconnections among them whenever it is possible. We formulate a theory of generalized Fock spaces, which has a three tired structure consisting of Fock space, statistics and algebra. This general formalism unifies various forms of statistics and algebras, which were earlier considered to describe different systems. Besides, the formalism allows us to construct many new kinds of quantum statistics and the associated algebras of creation and destruction operators. Some of these are: orthostatistics, null statistics or statistics of frozen order, quantum group based statistics and its many avatars, and `doubly-infinite' statistics. The emergence of new forms of quantum statistics for particles interacting with singular potential is also highlighted.
dc.language.iso en
dc.relation.ispartof AIP-Proceedings
dc.rights Open Access
dc.source AIP-Proceedings
dc.title Generalized Fock Spaces and New Forms of Quantum Statistics
dc.description.pages 162 - 168
dc.relation.url https://doi.org/10.48550/arXiv.hep-th/0105003
dc.publisher American Institute of Physics
dc.type article


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