On a Quantum Action Principle
Natalya Gorobey, Alexander Lukyanenko
TL;DR
This paper develops a quantum version of the classical action principle using wave functionals, and demonstrates its classical limit in the case of a harmonic oscillator.
Contribution
It introduces a quantum action principle formulated with wave functionals and explores its classical limit, bridging quantum and classical mechanics.
Findings
Quantum action principle formulated with wave functionals
Classical limit obtained for harmonic oscillator
Provides a new perspective on quantum-classical correspondence
Abstract
A quantum version of the action principle is formulated in terms of real parameters of a wave functional. The classical limit of the quantum action of a harmonic oscillator is obtained.
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Taxonomy
TopicsQuantum Mechanics and Applications