dorsal/arxiv
View SchemaInequivalent representations of commutator or anticommutator rings of field operators and their applications
| Authors | Michal Matejka, Milan Noga |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0602043 |
| URL | https://arxiv.org/abs/quant-ph/0602043 |
| DOI | 10.1007/s10773-006-9117-0 |
Abstract
Hamiltonian of a system in quantum field theory can give rise to infinitely many partition functions which correspond to infinitely many inequivalent representations of the canonical commutator or anticommutator rings of field operators. This implies that the system can theoretically exist in infinitely many Gibbs states. The system resides in the Gibbs state which corresponds to its minimal Helmholtz free energy at a given range of the thermodynamic variables. Individual inequivalent representations are associated with different thermodynamic phases of the system. The BCS Hamiltonian of superconductivity is chosen to be an explicit example for the demonstration of the important role of inequivalent representations in practical applications. Its analysis from the inequivalent representations' point of view has led to a recognition of a novel type of the superconducting phase transition.
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"abstract": "Hamiltonian of a system in quantum field theory can give rise to infinitely\nmany partition functions which correspond to infinitely many inequivalent\nrepresentations of the canonical commutator or anticommutator rings of field\noperators. This implies that the system can theoretically exist in infinitely\nmany Gibbs states. The system resides in the Gibbs state which corresponds to\nits minimal Helmholtz free energy at a given range of the thermodynamic\nvariables. Individual inequivalent representations are associated with\ndifferent thermodynamic phases of the system. The BCS Hamiltonian of\nsuperconductivity is chosen to be an explicit example for the demonstration of\nthe important role of inequivalent representations in practical applications.\nIts analysis from the inequivalent representations\u0027 point of view has led to a\nrecognition of a novel type of the superconducting phase transition.",
"arxiv_id": "quant-ph/0602043",
"authors": [
"Michal Matejka",
"Milan Noga"
],
"categories": [
"quant-ph"
],
"doi": "10.1007/s10773-006-9117-0",
"title": "Inequivalent representations of commutator or anticommutator rings of field operators and their applications",
"url": "https://arxiv.org/abs/quant-ph/0602043"
},
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