On well-behaved representations of λ-deformed CCR
Journal article, 2017

We study well-behaved *-representations of a ?-deformation of Wick analog of CCR algebra. Homogeneous Wick ideals of degrees two and three are described. Well-behaved irreducible *-representations of quotients by these ideals are classified up to unitary equivalence.

Well-behaved representations

Irreducible representation

Fock representation

Deformed commutation relations


D. Proskurin

Taras Shevchenko National University of Kyiv

Lyudmyla Turowska

University of Gothenburg

Chalmers, Mathematical Sciences, Analysis and Probability Theory

R. Y. Yakymiv

Taras Shevchenko National University of Kyiv

Methods of Functional Analysis and Topology

10293531 (ISSN) 24157503 (eISSN)

Vol. 23 2 192-205

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