A new kind of two-parameter deformation of Heisenberg and parabose algebras and related deformed derivative
(2005) In Journal of Physics A: Mathematical and General 38(8). p.1711-1721- Abstract
- We propose a new kind of two-parameter (p, q)-deformed Heisenberg and parabose algebra, which reduces to the Heisenberg algebra for the p = 1 case and to parabose algebra for q = -1 case. Corresponding to the two-parameter deformed oscillator, we also introduce a new kind of (p, q)-deformed derivative which relates to the ordinary derivative and q-deformed derivative in an explicit manner. We study the structure of Fock-like space of the new (p, q)-deformed oscillators and derive a formal solution for the eigenvalue equation of the Hamiltonian.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/247929
- author
- Jing, Sicong and Silvestrov, Sergei LU
- organization
- publishing date
- 2005
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of Physics A: Mathematical and General
- volume
- 38
- issue
- 8
- pages
- 1711 - 1721
- publisher
- IOP Publishing
- external identifiers
-
- wos:000227880600010
- scopus:14544269901
- ISSN
- 0305-4470
- DOI
- 10.1088/0305-4470/38/8/008
- language
- English
- LU publication?
- yes
- id
- e22254e4-51bd-4693-ad5c-dcc869b7efd7 (old id 247929)
- date added to LUP
- 2016-04-01 16:26:25
- date last changed
- 2022-03-15 00:29:09
@article{e22254e4-51bd-4693-ad5c-dcc869b7efd7, abstract = {{We propose a new kind of two-parameter (p, q)-deformed Heisenberg and parabose algebra, which reduces to the Heisenberg algebra for the p = 1 case and to parabose algebra for q = -1 case. Corresponding to the two-parameter deformed oscillator, we also introduce a new kind of (p, q)-deformed derivative which relates to the ordinary derivative and q-deformed derivative in an explicit manner. We study the structure of Fock-like space of the new (p, q)-deformed oscillators and derive a formal solution for the eigenvalue equation of the Hamiltonian.}}, author = {{Jing, Sicong and Silvestrov, Sergei}}, issn = {{0305-4470}}, language = {{eng}}, number = {{8}}, pages = {{1711--1721}}, publisher = {{IOP Publishing}}, series = {{Journal of Physics A: Mathematical and General}}, title = {{A new kind of two-parameter deformation of Heisenberg and parabose algebras and related deformed derivative}}, url = {{http://dx.doi.org/10.1088/0305-4470/38/8/008}}, doi = {{10.1088/0305-4470/38/8/008}}, volume = {{38}}, year = {{2005}}, }