Exact wave functions for generalized harmonic oscillators

Exact wave functions for generalized harmonic oscillators

We transform the time-dependent Schrödinger equation for the most general variable quadratic Hamiltonians into a standard autonomous form. As a result, the time evolution of exact wave functions of generalized harmonic oscillators is determined in terms of the solutions of certain Ermakov and Riccat...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of Russian laser research 2011-07, Vol.32 (4), p.352-361
Hauptverfasser: Lanfear, Nathan, López, Raquel M., Suslov, Sergei K.
Format: Artikel
Sprache:eng
Schlagworte:
Lasers
Microwaves
Optical Devices
Optics
Photonics
Physics
Physics and Astronomy
RF and Optical Engineering
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We transform the time-dependent Schrödinger equation for the most general variable quadratic Hamiltonians into a standard autonomous form. As a result, the time evolution of exact wave functions of generalized harmonic oscillators is determined in terms of the solutions of certain Ermakov and Riccatitype systems. In addition, we show that the classical Arnold transform is naturally connected with Ehrenfest’s theorem for generalized harmonic oscillators.
ISSN:1071-2836
1573-8760
DOI:10.1007/s10946-011-9223-1