Bohm potential for the time dependent harmonic oscillator

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

doi:10.1063/5.0044144

Bohm potential for the time dependent harmonic oscillator

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

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

2 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Número de artículo	122103
Publicación	Journal of Mathematical Physics
Volumen	62
N.º	12
DOI	https://doi.org/10.1063/5.0044144
Estado	Publicada - 1 dic. 2021
Publicado de forma externa	Sí

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title = "Bohm potential for the time dependent harmonic oscillator",

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.",

author = "Francisco Soto-Eguibar and Asenjo, {Felipe A.} and Hojman, {Sergio A.} and Moya-Cessa, {H{\'e}ctor M.}",

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doi = "10.1063/5.0044144",

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AU - Soto-Eguibar, Francisco

AU - Asenjo, Felipe A.

AU - Hojman, Sergio A.

AU - Moya-Cessa, Héctor M.

PY - 2021/12/1

Y1 - 2021/12/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85122193072&partnerID=8YFLogxK

U2 - 10.1063/5.0044144

DO - 10.1063/5.0044144

M3 - Article

AN - SCOPUS:85122193072

SN - 0022-2488

VL - 62

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 12

M1 - 122103

ER -

Bohm potential for the time dependent harmonic oscillator

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