Nonstandard Deformed Oscillators from q- and p,q-Deformations of Heisenberg Algebra

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2016
• Main Authors: Gavrilik, A.M., Kachurik, I.I.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2016
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147738
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Nonstandard Deformed Oscillators from q- and p,q-Deformations of Heisenberg Algebra / A.M. Gavrilik, I.I. Kachurik // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 38 назв. — англ.

For the two-parameter p,q-deformed Heisenberg algebra introduced recently and in which, instead of usual commutator of X and P in the l.h.s. of basic relation [X,P]=iℏ, one uses the p,q-commutator, we established interesting properties. Most important is the realizability of the p,q-deformed Heisenb...