Volume 19, Issue 4, December 2012, Pages 551 - 579
Landau Levels in a Two-Dimensional Noncommutative Space: Matrix and Quaternionic Vector Coherent States
Authors
Mahouton Norbert Hounkonnou
International Chair in Mathematical Physics and Applications, ICMPA-UNESCO Chair, University of Abomey-Calavi, 072 B.P. 50 Cotonou, Republic of Benin,norbert.hounkonnou@cipma.uac.bj,hounkonnou@yahoo.fr
Isiaka Aremua
International Chair in Mathematical Physics and Applications, ICMPA-UNESCO Chair, University of Abomey-Calavi, 072 B.P. 50 Cotonou, Republic of Benin,claudisak@yahoo.fr
Received 7 July 2012, Accepted 29 August 2012, Available Online 31 December 2012.
- DOI
- 10.1142/S1402925112500337How to use a DOI?
- Keywords
- Noncommutative space; quantum Hilbert space; vector coherent state
- Abstract
The behavior of an electron in an external uniform electromagnetic background coupled to an harmonic potential, with noncommuting space coordinates, is considered in this work. The thermodynamics of the system is studied. Matrix vector coherent states (MVCS) as well as quaternionic vector coherent states (QVCS), satisfying required properties, are also constructed and discussed.
- Copyright
- © 2012 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Mahouton Norbert Hounkonnou AU - Isiaka Aremua PY - 2012 DA - 2012/12/31 TI - Landau Levels in a Two-Dimensional Noncommutative Space: Matrix and Quaternionic Vector Coherent States JO - Journal of Nonlinear Mathematical Physics SP - 551 EP - 579 VL - 19 IS - 4 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925112500337 DO - 10.1142/S1402925112500337 ID - Hounkonnou2012 ER -