Sharma, J. K. ; Mehta, C. L. ; Mukunda, N. ; Sudarshan, E. C. G.
(1981)
*Representation and properties of para-Bose oscillator operators. II. Coherent states and the minimum uncertainty states*
Journal of Mathematical Physics, 22
(1).
pp. 78-90.
ISSN 0022-2488

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Official URL: http://jmp.aip.org/resource/1/jmapaq/v22/i1/p78_s1...

Related URL: http://dx.doi.org/10.1063/1.524756

## Abstract

The energy, position, and momentum eigenstates of a para-Bose oscillator system were considered in paper I. Here we consider the Bargmann or the analytic function description of the para-Bose system. This brings in, in a natural way, the coherent states ||z;a> defined as the eigenstates of the annihilation operator. The transformation functions relating this description to the energy, position, and momentum eigenstates are explicitly obtained. Possible resolution of the identity operator using coherent states is examined. A particular resolution contains two integrals, one containing the diagonal basis ||z;α> < z;α|| and the other containing the pseudodiagonal basis ||z;α> <-z;α||. We briefly consider the normal and antinormal ordering of the operators and their diagonal and discrete diagonal coherent state approximations. The problem of constructing states with a minimum value of the product of the position and momentum uncertainties and the possible α dependence of this minimum value is considered.

Item Type: | Article |
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Source: | Copyright of this article belongs to American Institute of Physics. |

Keywords: | Eigenstates; Annihilation Operators; SL Groups; Hilbert Space; Quantum Mechanics; Position Operators |

ID Code: | 19608 |

Deposited On: | 22 Nov 2010 12:19 |

Last Modified: | 06 Jun 2011 11:31 |

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