Saxena, G. M. ; Mehta, C. L. ; Mathur, B. S. (1993) Eigenstates of bilinears in paraboson operators and their inverses Journal of Mathematical Physics, 34 (7). pp. 2875-2892. ISSN 0022-2488
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Official URL: http://link.aip.org/link/?JMAPAQ/34/2875/1
Related URL: http://dx.doi.org/10.1063/1.530102
Abstract
The inverse of paraboson annihilation and creation operators is introduced. The properties of these operators, their number state representation and commutation relations are discussed. Also introduced are the family of eigenstates of bilinears in paraboson operators and their inverses; and study the nonclassical properties, namely, squeezing and fluctuations in number of parabosons in these eigenstates. It is observed that a family of the eigenstates of a+-1a is the parasqueezed vacuum, S(σ)||0,α>. Similarly, a family of the eigenstates of aa+-1 is the parasqueezed first state, S(σ)||n=1,a>.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to American Institute of Physics. |
| Keywords: | Bosons; Annihilation Operators; Creation Operators; Commutation Relations; Eigenstates; Squeezed States; Parastatistics; Vacuum States; Quantum Optics; Fluctuations; Quantum Statistical Mechanics |
| ID Code: | 19589 |
| Deposited On: | 22 Nov 2010 12:20 |
| Last Modified: | 06 Jun 2011 11:25 |
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