Chaturvedi, S. ; Srinivasan, V. (1991) Aspects of q-oscillator quantum mechanics Physical Review A, 44 (12). pp. 8020-8023. ISSN 1050-2947
Full text not available from this repository.
Official URL: http://pra.aps.org/abstract/PRA/v44/i12/p8020_1
Related URL: http://dx.doi.org/10.1103/PhysRevA.44.8020
Abstract
We investigate some aspects of q Heisenberg algebra. We show how su(2) and su(1,1) generators can be constructed in terms of the q creation and annihilation operators. We also construct the coherent states for the q oscillator and show that they can be obtained by the action of a displacement operator on the vacuum. For the multimode case with q=0, corresponding to the infinite statistics of Greenberg [Phys. Rev. Lett. 64, 705 (1990)], we generalize our single-mode construction to obtain the corresponding coherent states. These states, which are eigenstates of the annihilation operators, interestingly, turn out to be degenerate owing to the noncommutativity of the displacement operators.
Item Type: | Article |
---|---|
Source: | Copyright of this article belongs to American Physical Society. |
ID Code: | 7052 |
Deposited On: | 25 Oct 2010 12:44 |
Last Modified: | 28 May 2011 06:17 |
Repository Staff Only: item control page