Bohm potential for the time dependent harmonic oscillator

Francisco Soto-Eguibar, Felipe A. Asenjo, Sergio A. Hojman, Héctor M. Moya-Cessa

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Article number122103
JournalJournal of Mathematical Physics
Volume62
Issue number12
DOIs
StatePublished - 1 Dec 2021
Externally publishedYes

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