Bohm potential for the time dependent harmonic oscillator

被引：3

作者：

Soto-Eguibar, Francisco ^{[1
]}

Asenjo, Felipe A. ^{[2
]}

Hojman, Sergio A. ^{[3
,4
,5
]}

Moya-Cessa, Hector M. ^{[1
]}

机构：

[1] Inst Nacl Astrofis Opt & Electr, INAOE, Calle Luis Enrique Erro 1, Puebla 72840, Mexico

[2] Univ Adolfo Ibanez, Fac Ingn & Ciencias, Santiago 7491169, Chile

[3] Univ Adolfo Ibanez, Dept Ciencias, Fac Artes Liber, Santiago 7500018, Chile

[4] Univ Chile, Dept Fis, Fac Ciencias, Santiago 7800003, Chile

[5] CREA, Ctr Recursos Educ Avanzados, Santiago 7500018, Chile

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2021年 / 62卷 / 12期

关键词：

SCHRODINGER-EQUATION; QUANTUM-THEORY; MASS; PROPAGATION; INVARIANTS; SYSTEMS; STATES;

D O I：

10.1063/5.0044144

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：6

共 36 条

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