Ordering of the exponential of a quadratic in boson operators. I. Single mode case

Mehta, C. L. (1977) Ordering of the exponential of a quadratic in boson operators. I. Single mode case Journal of Mathematical Physics, 18 (3). pp. 404-407. ISSN 0022-2488

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Official URL: http://link.aip.org/link/?JMAPAQ/18/404/1

Related URL: http://dx.doi.org/10.1063/1.523282

Abstract

The Weyl ordered form of the operator exp[αâ2+βâ2++γ(â+â+ââ +)] is derived in a very simple way. Using this result, we also obtain the normal and antinormal ordered forms as well as the diagonal coherent states representation of this operator.

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