Comment on demystifying the constancy of the Ermakov–Lewis invariant for a time-dependent oscillator-Reference-Cited by-同舟云学术

Comment on demystifying the constancy of the Ermakov–Lewis invariant for a time-dependent oscillator

Published:2018-08-03 Issue:24 Volume:33 Page:1875001
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

Gallegos A.¹,Rosu H. C.²^ORCID

Affiliation:

1. Departamento de Ciencias Exactas y Tecnología, Centro Universitario de los Lagos, Universidad de Guadalajara, Enrique Díaz de León 1144, Col. Paseos de la Montaña, Lagos de Moreno, Jalisco, Mexico

2. IPICyT, Instituto Potosino de Investigacion Cientifica y Tecnologica, Camino a la presa San José, Col. Lomas 4a. Sección, 78231 San Luis Potosí, S.L.P., Mexico

Abstract

We show that a simple modification of the Lagrangian proposed by Padmanabhan in the paper [Mod. Phys. Lett. A 33, 1830005 (2018)] leads to the most general dynamical invariant in [Ray and Reid, Phys. Lett. A 71, 317 (1979)].

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732318750019

Reference7 articles.

1. Demystifying the constancy of the Ermakov–Lewis invariant for a time-dependent oscillator

2. More exact invariants for the time-dependent harmonic oscillator

3. Ermakov–Lewis invariants and Reid systems

4. An exact invariant for a class of time‐dependent anharmonic oscillators with cubic anharmonicity

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