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Journal of Physics A Mathematical and General

Normally ordering the Dirac's radial momentum operator and the power of radial coordinate operators by virtue of the IWOP technique

Hong-Yi Fan, Junhua Chen

Published Dec 5, 2001• 9 citations
Publisher

Abstract

By virtue of the technique of integration within an ordered product of operators we derive the normal ordering expansion of the Dirac's radial momentum operator. To realize this goal, we also derive some operator identities of the power of radial coordinate operators. They are useful in calculating expectation values in the coherent state.

DOI
10.1088/0305-4470/34/49/313

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By virtue of the technique of integration within an ordered product of operators we derive the normal ordering expansion of the Dirac's radial momentum operator. To realize this goal, we also derive some operator identities of the power of radial coordinate operators. They are useful in calculating expectation values in the coherent state.
In this paper by virtue of the technique of integration within an ordered product (IWOP) of operators and the intermediate coordinate-momentum representation in quantum optics, we derive the normal ordering and antinormal ordering products of the operator ( fQ + gP ) n when n is an arbitrary integer. These products are very useful in calculating their matrix elements and expectation values and obtaining some useful mathematical formulae. Finally, the applications of some new identities are given.