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Soto-Eguibar, F., Asenjo, F. A., Hojman, S. A., & Moya-Cessa, H. M. (2021). Bohm potential for the time dependent harmonic oscillator. J. Math. Phys., 62(12), 122103.
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.