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Author Soto-Eguibar, F.; Asenjo, F.A.; Hojman, S.A.; Moya-Cessa, H.M.
Title Bohm potential for the time dependent harmonic oscillator Type
Year 2021 Publication Journal of Mathematical Physics Abbreviated Journal J. Math. Phys.
Volume 62 Issue 12 Pages 122103
Keywords SCHRODINGER-EQUATION; QUANTUM-THEORY; MASS; PROPAGATION; INVARIANTS; SYSTEMS; STATES
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.
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ISSN 0022-2488 ISBN Medium
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Notes WOS:000731943600003 Approved
Call Number UAI @ alexi.delcanto @ Serial 1504
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