Time-dependent perturbation theory with a classical limit

Banerjee, Shamik ; Bhattacharjee, J. K. (2004) Time-dependent perturbation theory with a classical limit Physical Review Letters, 93 (12). 120403_1-120403_4. ISSN 0031-9007

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Official URL: http://prl.aps.org/abstract/PRL/v93/i12/e120403

Related URL: http://dx.doi.org/10.1103/PhysRevLett.93.120403


We construct a quantum mechanical perturbation theory which uses the multiple time scale technique. Working with the time translation operator, we use a variant on the method of Bender and Bettencourt. Our perturbation theory smoothly crosses over to the classical result as h→0. It is seen that this technique has a nonperturbative element built into it.

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