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New generating function formulae of even- and odd-Hermite polynomials obtained and applied in the context of quantum optics
Pages: 22-26
Year: Issue:  6
Journal: Chinese Physics B

Keyword:  generating functioneven-and odd-Hermite polynomialsHermite polynomial methodtechnique of integral within an ordered product of operators;
Abstract: By combining the operator Hermite polynomial method and the technique of integration within an ordered product of operators, for the first time we derive the generating function of even- and odd-Hermite polynomials which will be useful in constructing new optical field states. We then show that the squeezed state and photon-added squeezed state can be expressed by even- and odd-Hermite polynomials.
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