Time-dependent perturbation theory with a classical limit

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 Planck's -->0. It...

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Veröffentlicht in:	Physical review letters 2004-09, Vol.93 (12), p.120403.1-120403.4, Article 120403
Hauptverfasser:	BANERJEE, Shamik, BHATTACHARJEE, J. K
Format:	Artikel
Sprache:	eng
Schlagworte:	Atomic and molecular physics Calculations and mathematical techniques in atomic and molecular physics (excluding electron correlation calculations) Classical and quantum physics: mechanics and fields Electronic structure of atoms, molecules and their ions: theory Exact sciences and technology Functional analytical methods Perturbation theory Physics Quantum mechanics
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Beschreibung
Zusammenfassung:	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 Planck's -->0. It is seen that this technique has a nonperturbative element built into it.
ISSN:	0031-9007 1079-7114
DOI:	10.1103/PhysRevLett.93.120403