The <em>s</em>-Ordered Fock Space Projectors Gained by the General Ordering Theorem

doi:10.1088/0256-307X/29/9/090301

Chin. Phys. Lett.

2012, Vol. 29

Issue (9): 090301 DOI: 10.1088/0256-307X/29/9/090301

GENERAL

The s-Ordered Fock Space Projectors Gained by the General Ordering Theorem

Farid Shähandeh^**, Mohammad Reza Bazrafkan, Mahmoud Ashrafi

Department of Physics, Faculty of Science, I. K. I. University, Qazvin, Iran

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Farid Sh?handeh, Mohammad Reza Bazrafkan, Mahmoud Ashrafi 2012 Chin. Phys. Lett. 29 090301

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Abstract Employing the general ordering theorem (GOT), operational methods and incomplete 2-D Hermite polynomials, we derive the t-ordered expansion of Fock space projectors. Using the result, the general ordered form of the coherent state projectors is obtained. This indeed gives a new integration formula regarding incomplete 2-D Hermite polynomials. In addition, the orthogonality relation of the incomplete 2-D Hermite polynomials is derived to resolve Dattoli's failure.

Received: 18 May 2012 Published: 01 October 2012

PACS:	03.65.-w	(Quantum mechanics)
	42.50.-p	(Quantum optics)
	31.15.-p	(Calculations and mathematical techniques in atomic and molecular physics)

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	Farid Sh?handeh
	Mohammad Reza Bazrafkan
	Mahmoud Ashrafi

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