Self-rotating wave approximation via symmetric ordering of ladder operators

Details Self-rotating wave approximation via symmetric ordering of ladder operators Self-rotating wave approximation via symmetric ordering of ladder operators

2006-11-24

arxiv.org/abs/math-ph/0611067v1

Physics

Mathematical Physics

10 pages, 4 figures

Scientific paper

10.1080/09500340601156934

We show how some Hamiltonians may be approximated using rotating wave approximation methods. In order to achieve this we use the algebra of boson ladder operators, and transformation formulas between normal and symmetric ordering of the operators. The method presented is studied in two special cases; the Morse and the Mathiue models. The connection with regular perturbation theory is given and the validity of the approximation is discussed.

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