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

Partha Guha, Anindya Ghose-Choudhury

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4 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 languageBritish English
Article number1950021
JournalModern Physics Letters A
Volume34
Issue number3
DOIs
StatePublished - 30 Jan 2019

Keywords

  • Ermakov-Lewis invariant
  • time-dependent harmonic oscillator

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