Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:hep-th/9402013

Mappings of Multimode Bose Algebra Preserving Number Operators

Miroslav Dorešić, Stjepan Meljanac, Marijan Mileković

Published Feb 3, 1994• 3 citations
arXivHTMLPDF

Abstract

We define a class of deformed multimode oscillator algebras which possess number operators and can be mapped to multimode Bose algebra.We construct and discuss the states in the Fock space and the corresponding number operators.
DOI
10.48550/arxiv.hep-th/9402013

Related papers

Generalized Jordan-Wigner transformation and number operators

Miroslav Dorešić, Stjepan Meljanac, Marijan Mileković

We define a class of deformed multimode oscillator algebras which possess number operators and can be mapped to multimode Bose algebra by generalized Jordan-Wigner transformation. We construct and discuss the states in the Fock space and the corresponding number operators.

Fizika B•Jan 1, 1994•1 citation

A UNIFIED VIEW OF MULTIMODE ALGEBRAS WITH FOCK-LIKE REPRESENTATIONS

Stjepan Meljanac, Marijan Mileković

A unified view of general multimode oscillator algebras with Fock-like representations is presented. It extends a previous analysis of the single-mode oscillator algebras. The expansion of the [Formula: see text] operators is extended to include all normally ordered terms in creation and annihilation operators, and we analyze their action on Fock-like states. We restrict ourselves to the algebras compatible with number operators. The connection between these algebras and generalized statistics is analyzed. We demonstrate our approach by considering the algebras obtainable from the generalized Jordan-Wigner transformation, the para-Bose and para-Fermi algebras, the Govorkov “paraquantization” algebra and generalized quon algebra.

arXiv:q-alg/9510005•International Journal of Modern Physics A•Mar 30, 1996•28 citations

Two-parameter deformed multimode oscillators andq-symmetric states

Won Sang Chung

Two types of coherent states for the two-parameter deformed multimode oscillator system are investigated. Moreover, two-parameter deformed gl(n) algebra and deformed symmetric states are constructed.

arXiv:q-alg/9609016•Journal of Physics A Mathematical and General•Jan 21, 1997•3 citations

Two parameter Deformed Multimode Oscillators and q-Symmetric States

Two types of the coherent states for two parameter deformed multimode oscillator system are investigated. Moreover, two parameter deformed gl(n) algebra and deformed symmetric states are constructed. 1

•Jan 1, 1996•0 citations

Remarks on the number operator for generalized quons

Miroslav Dorešić

We construct the number operator for particles obeying infinite statistics, defined by a generalized q-deformation of the Heisenberg algebra, and prove the positivity of the norm of linearly independent state vectors.

arXiv:hep-th/9401168•Journal of Physics A Mathematical and General•Jan 7, 1995•1 citation

Generalized q-deformed Tamm-Dancoff oscillator algebra and associated coherent states

Won Sang Chung, Mahouton Norbert Hounkonnou, Sama Arjika

In this paper, we propose a full characterization of a generalized q-deformed Tamm-Dancoff oscillator algebra and investigate its main mathematical and physical properties. Specifically, we study its various representations and find the condition satisfied by the deformed q-number to define the algebra structure function. Particular Fock spaces involving finite and infinite dimensions are examined. A deformed calculus is performed as well as a coordinate realization for this algebra. A relevant example is exhibited. Associated coherent states are constructed. Finally, some thermodynamics aspects are computed and discussed.

arXiv:1403.1311•Journal of Mathematical Physics•Jul 17, 2014•2 citations
A unified view of general multimode oscillator algebras with Fock-like representations is presented. It extends a previous analysis of the single-mode oscillator algebras. The expansion of the [Formula: see text] operators is extended to include all normally ordered terms in creation and annihilation operators, and we analyze their action on Fock-like states. We restrict ourselves to the algebras compatible with number operators. The connection between these algebras and generalized statistics is analyzed. We demonstrate our approach by considering the algebras obtainable from the generalized Jordan-Wigner transformation, the para-Bose and para-Fermi algebras, the Govorkov “paraquantization” algebra and generalized quon algebra.
In this paper, we propose a full characterization of a generalized q-deformed Tamm-Dancoff oscillator algebra and investigate its main mathematical and physical properties. Specifically, we study its various representations and find the condition satisfied by the deformed q-number to define the algebra structure function. Particular Fock spaces involving finite and infinite dimensions are examined. A deformed calculus is performed as well as a coordinate realization for this algebra. A relevant example is exhibited. Associated coherent states are constructed. Finally, some thermodynamics aspects are computed and discussed.