A note on generalization of the Ermakov-Lewis invariant and its demystification

Partha Guha; Anindya Ghose-Choudhury

doi:10.1142/S0217732319500214

A note on generalization of the Ermakov-Lewis invariant and its demystification

Partha Guha, Anindya Ghose-Choudhury

Mathematics

Diamond Harbour Women's University

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

Recently, a physical basis for the Ermakov-Lewis invariant has been pointed out by Padmanabhan [Mod. Phys. Lett. A 33, 1830005 (2018)] and the most general form of the equations admitting such an invariant has been identified. Further generalizations to other equations beyond the Ermakov-Lewis system are derived by considering a more general form of a nonlocal transformation of the Sundman type and the corresponding invariants are derived. Reductions to the time-dependent isotonic oscillator are also obtained.

Original language	British English
Article number	1950021
Journal	Modern Physics Letters A
Volume	34
Issue number	3
DOIs	https://doi.org/10.1142/S0217732319500214
State	Published - 30 Jan 2019

Keywords

Ermakov-Lewis invariant
time-dependent harmonic oscillator

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10.1142/S0217732319500214

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abstract = "Recently, a physical basis for the Ermakov-Lewis invariant has been pointed out by Padmanabhan [Mod. Phys. Lett. A 33, 1830005 (2018)] and the most general form of the equations admitting such an invariant has been identified. Further generalizations to other equations beyond the Ermakov-Lewis system are derived by considering a more general form of a nonlocal transformation of the Sundman type and the corresponding invariants are derived. Reductions to the time-dependent isotonic oscillator are also obtained.",

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A note on generalization of the Ermakov-Lewis invariant and its demystification

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Keywords

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