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


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.

Key words: Deformed commutation relations, well-behaved representations, irreducible representation, Fock representation.


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Article Information

TitleOn well-behaved representations of $\lambda$-deformed CCR
SourceMethods Funct. Anal. Topology, Vol. 23 (2017), no. 2, 192-205
MilestonesReceived 13/02/2017
CopyrightThe Author(s) 2017 (CC BY-SA)

Authors Information

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


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Citation Example

D. P. Proskurin, L. B. Turowska, and R. Y. Yakymiv, On well-behaved representations of $\lambda$-deformed CCR, Methods Funct. Anal. Topology 23 (2017), no. 2, 192-205.


BibTex

@article {MFAT972,
    AUTHOR = {D. P. Proskurin and L. B. Turowska and R. Y. Yakymiv},
     TITLE = {On well-behaved representations of $\lambda$-deformed CCR},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {23},
      YEAR = {2017},
    NUMBER = {2},
     PAGES = {192-205},
      ISSN = {1029-3531},
       URL = {http://mfat.imath.kiev.ua/article/?id=972},
}


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