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.
Full Text
Article Information
| Title | On well-behaved representations of $\lambda$-deformed CCR |
| Source | Methods Funct. Anal. Topology, Vol. 23 (2017), no. 2, 192-205 |
| MathSciNet |
MR3668814 |
| zbMATH |
06810677 |
| Milestones | Received 13/02/2017 |
| Copyright | The 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
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},
MRNUMBER = {MR3668814},
ZBLNUMBER = {06810677},
URL = {https://mfat.imath.kiev.ua/article/?id=972},
}
