Ermakov-Lewis invariant in Koopman-von Neumann mechanics
Abhijit Sen, Zurab Silagadze
TL;DR
This paper presents a simpler method for deriving the Ermakov-Lewis invariant in Koopman-von Neumann mechanics for the time-dependent harmonic oscillator, improving upon previous approaches.
Contribution
It introduces a more straightforward technique to obtain the Ermakov-Lewis invariant within Koopman-von Neumann mechanics, simplifying prior methods.
Findings
Simpler method for invariant derivation
Enhanced understanding of Koopman-von Neumann mechanics
Potential applications in quantum and classical systems
Abstract
In the paper Sci. Rep. 8, 8401 (2018), among other things, the Ermakov-Lewis invariant was constructed for the time dependent harmonic oscillator in Koopman-von Neumann mechanics. We point out that there is a simpler method that allows one to find this invariant.
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