Bohm potential for the time dependent harmonic oscillator

Bohm potential for the time dependent harmonic oscillator

In the Madelung–Bohm approach to quantum mechanics, we consider a time dependent phase that depends quadratically on position, and we show that it leads to a Bohm potential that corresponds to a time dependent harmonic oscillator, provided the time dependent term in the phase obeys an Ermakov equati...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of mathematical physics 2021-12, Vol.62 (12)
Hauptverfasser: Soto-Eguibar, Francisco, Asenjo, Felipe A., Hojman, Sergio A., Moya-Cessa, Héctor M.
Format: Artikel
Sprache:eng
Schlagworte:
Harmonic oscillators
Physics
Quantum mechanics
Time dependence
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In the Madelung–Bohm approach to quantum mechanics, we consider a time dependent phase that depends quadratically on position, and we show that it leads to a Bohm potential that corresponds to a time dependent harmonic oscillator, provided the time dependent term in the phase obeys an Ermakov equation.
ISSN:0022-2488
1089-7658
DOI:10.1063/5.0044144