Algebras of creation and destruction operators

Mishra A.K.; Rajasekaran G.

dc.contributor.author	Mishra A.K.
dc.contributor.author	Rajasekaran G.
dc.date.accessioned	2023-10-13T12:37:30Z
dc.date.available	2023-10-13T12:37:30Z
dc.date.issued	1993
dc.date.submitted	1993
dc.identifier	10.1007/BF02900184
dc.identifier.issn	3044289
dc.identifier.uri	https://dspace.imsc.res.in/xmlui/handle/123456789/743
dc.identifier.uri	https://www.ias.ac.in/article/fulltext/pram/040/03/0149-0176
dc.description.abstract	A general analysis of bilinear algebras of creation and destruction operators is performed. Generalizing the earlier work on the single-parameter q-deformation of the Heisenberg algebra, we study two-parameter and four-parameter algebras. Two new forms of quantum statistics called orthofermi and orthobose statistics and a q-deformation interpolating between them have been found. In the Fock representation, quadratic relations among destruction operators, wherever they are allowed, are shown to follow from the bilinear algebra of creation and destruction operators. Postitivity of the Hilbert space for the four-parameter algebra has been studied in the two-particle sector, but for the two-parameter algebra, results are presented up to the four-particle sector. © 1993 Indian Academy of Sciences.
dc.language.iso	en
dc.relation.ispartof	Pramana, Vol. 40, Issue. 3
dc.rights	Open Access
dc.source	Pramana
dc.subject	03.70
dc.subject	05.30
dc.subject	Fock space
dc.subject	Heisenberg algebra
dc.subject	q-deformation
dc.subject	Quantum statistics
dc.title	Algebras of creation and destruction operators
dc.description.pages	149 - 176
dc.relation.url	https://www.ias.ac.in/article/fulltext/pram/040/03/0149-0176
dc.publisher	Indian Academy of Sciences, Bangalore
dc.type	Article