Integrable representations of the ultra-commutation relations

DOI10.1063/1.532044zbMath0946.46043OpenAlexW1972274876MaRDI QIDQ4345171

Mark A. Hennings, Allan I. Solomon, Daniel A. Dubin

Publication date: 17 October 2000

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

Full work available at URL: https://doi.org/10.1063/1.532044

zbMATH Keywords

Heisenberg algebra\(q\)-deformationnumber operatorintegral particle representationsoscillator deformationultra-commutation relation

Mathematics Subject Classification ID

Representations of topological algebras with involution (46K10) Applications of selfadjoint operator algebras to physics (46L60) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (1)

Bounded version of bosonic creation and annihilation operators and their related quasicoherent states

Cites Work

• Twisted second quantization
• Self-adjoint algebras of unbounded operators
• GENERALIZED DEFORMED su(2) ALGEBRAS, DEFORMED PARAFERMIONIC OSCILLATORS AND FINITE W-ALGEBRAS
• Generalized commutators and deformation of strong coupling superconductivity
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• The quantum group SU_q(2) and a q-analogue of the boson operators
• Operator representations of the real twisted canonical commutation relations
• An analogue of the unitary displacement operator for the q-oscillator
• Unitary representations of the q-oscillator algebra
• Invariance properties of the q-oscillator algebra: q-analogue of von Neumann's theorem
• Hilbert spaces of analytic functions and generalized coherent states
• Grundlagen der Dynamik in der nichtlinearen Spinortheorie der Elementarteilchen

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