The Ideal Gas Behavior is in Fact Nothing, But a Macroscopic Quantum Mechanical Manifestation

TL;DR

This paper explores the quantum mechanical basis of ideal gas behavior by analyzing an adiabatically compressed particle in a high potential well, revealing that compression energy converts into kinetic energy, thus providing a quantum perspective on ideal gases.

Contribution

It introduces a quantum mechanical framework for understanding ideal gases by modeling a particle in a high potential well under adiabatic compression.

Findings

Compression energy becomes kinetic energy of the particle.

Provides a quantum mechanical definition of an ideal gas.

Clarifies a paradox related to ideal gas behavior.

Abstract

This article mainly consists in the quantum mechanical study of an adiabatically compressed particle, in an infinitely high well, which we conjecture, can be considered as the basis of an ideal gas. Thus we prove that, all the compression energy is, as may be expected, transformed into extra kinetic energy of the particle. This result frames a quantum mechanical definition of an ideal gas. It further helps the elucidation of a paradox.