A quantum description of bubble growth in a superheated fluid. (English) Zbl 1238.76046
Summary: 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.
MSC:
| 76T10 | Liquid-gas two-phase flows, bubbly flows |
| 76Y05 | Quantum hydrodynamics and relativistic hydrodynamics |
| 81S30 | Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics |
| 81Q60 | Supersymmetry and quantum mechanics |
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