A quantum description of bubble growth in a superheated fluid

TL;DR

This paper presents a quantum framework for modeling bubble growth in superheated liquid helium, resolving operator ordering ambiguities using supersymmetric quantum mechanics and Weyl quantization.

Contribution

It introduces a general method combining supersymmetric quantum mechanics and Weyl quantization to address operator ordering in position-dependent mass systems.

Findings

Identified specific operator orderings for bubble growth in superheated helium.

Developed a general approach applicable to other PDM systems.

Abstract

We discuss a quantum description of bubble growth in a superheated liquid Helium by addressing the problem of operator ordering ambiguities that arise due to the presence of position dependent mass (PDM) in this system. Using a supersymmetric quantum mechanics formalism along with the Weyl quantization rule, we are able to identify specific operator orderings for this problem. This is a general method which should be applicable to other PDM systems.