Quantum Mechanics as a Classical Theory XV: Thermodynamical Derivation

TL;DR

This paper offers a thermodynamic-based axiomatic derivation of the Schrödinger equation, highlighting the quantum formalism's thermodynamic nature and connecting it to previous derivations, with insights into metaestability.

Contribution

It introduces a new thermodynamic axiomatic derivation of quantum mechanics and links it to prior methods, emphasizing the formal and conceptual connections.

Findings

Derivation of Schrödinger equation from thermodynamic postulates

Connection established between different derivations of quantum formalism

Discussion on metaestability in quantum systems

Abstract

We present in this continuation paper a new axiomatic derivation of the Schr\"odinger equation from three basic postulates. This new derivation sheds some light on the thermodynamic character of the quantum formalism. We also show the formal connection between this derivation and the one previously done by other means. Some considerations about metaestability are also drawn. We return to an example previously developed to show how the connection between both derivations works.