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A quantum description of bubble growth in a superheated fluid

arXiv:0907.0722 · doi:10.1016/j.physleta.2010.06.005

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.

1 Figure. To be published in Phys. Lett A. v3: Updated abstract and significant changes from v2, in particular inclusion of a new section on Weyl transform