Unified Description of Classical and Quantum Behaviours in a Variational Principle

TL;DR

This paper introduces a stochastic variational method that unifies the descriptions of classical and quantum mechanics within a single variational framework, providing a pedagogical overview.

Contribution

It presents a generalized variational principle that seamlessly describes both classical and quantum behaviors, highlighting their underlying connection.

Findings

Unified variational framework for classical and quantum mechanics

Pedagogical introduction of stochastic variational method

Demonstrates the conceptual link between classical and quantum descriptions

Abstract

We give a pedagogical introduction of the stochastic variational method and show that this generalized variational principle describes classical and quantum mechanics in a unified way.