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Journal of Physics A Mathematical and General

Normal ordering expansion ofn-dimensional radial coordinate operators gained by virtue of the IWOP technique

Hong-Yi Fan, Liang Fu

Published Jan 22, 2003• 7 citations
Publisher

Abstract

By virtue of the technique of integration within an ordered product of operators we derive the normal ordering expansion of the power of radial coordinate operators in the n -dimensional coordinate space. The use of Bessel function has greatly simplified the calculation. Moreover, the use of Kummer's first formula for the confluent hypergeometric function makes the result neat and concise.

DOI
10.1088/0305-4470/36/5/326

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理论物理通讯：英文版•Jan 1, 2004•0 citations
By virtue of the technique of integration within an ordered product of operators we derive the normal ordering expansion of the power of radial coordinate operators in the n -dimensional coordinate space. The use of Bessel function has greatly simplified the calculation. Moreover, the use of Kummer's first formula for the confluent hypergeometric function makes the result neat and concise.