The Quantum Hamilton–Jacobi Equation and the Link Between Classical and Quantum Mechanics

We study how the classical Hamilton's principal and characteristic functions are generated from the solutions of the quantum Hamilton–Jacobi equation. While in the classically forbidden regions these quantum quantities directly tend to the classical ones, this is not the case in the allowed reg...

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Bibliographic Details
Main Author: Mario Fusco Girard
Format: Article
Language:English
Published: Quanta 2022-11-01
Series:Quanta
Online Access:http://quanta.ws/ojs/index.php/quanta/article/view/202