Aspects of q-oscillator quantum mechanics

Chaturvedi, S. ; Srinivasan, V. (1991) Aspects of q-oscillator quantum mechanics Physical Review A, 44 (12). pp. 8020-8023. ISSN 1050-2947

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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.

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Source:Copyright of this article belongs to American Physical Society.
ID Code:7052
Deposited On:25 Oct 2010 12:44
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