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arXiv · 2101.05907

Bohm potential for the time dependent harmonic oscillator

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

In the Madelung-Bohm approach to quantum mechanics, we consider a (time dependent) phase that depends quadratically on position and 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.

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Francisco Soto-Eguibar, Felipe A. Asenjo, Sergio A. Hojman, Héctor M. Moya-Cessa. 2021-01-14. Bohm potential for the time dependent harmonic oscillator. https://doi.org/10.1063/5.0044144

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