On well-behaved representations of $\lambda$-deformed CCR

Authors

  • D. P. Proskurin Kyiv National Taras Shevchenko University, Cybernetics Department, 64/13 Volodymyrska, Kyiv, 01601, Ukraine
  • L. B. Turowska Chalmers University of Technology, Department of Mathematical Sciences, SE-412 96 Goteborg, Sweden
  • R. Y. Yakymiv Kyiv National Taras Shevchenko University, Cybernetics Department, 64/13 Volodymyrska, Kyiv, 01601, Ukraine

DOI:

Keywords:

Deformed commutation relations, well-behaved representations, irreducible representation, Fock representation

Abstract

We study well-behaved ∗-representations of a λ-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.

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Published

2017-06-25

Issue

Vol. 23 No. 2 (2017)

Section

Articles

How to Cite

Proskurin, D. P., et al. “On Well-Behaved Representations of $\lambda$-Deformed CCR”. Methods of Functional Analysis and Topology, vol. 23, no. 2, June 2017, pp. 192-05, https://zen.imath.kiev.ua/index.php/mfat/article/view/663.