dorsal/arxiv
View SchemaOff-Diagonal Long-Range Order, Restricted Gauge Transformations, and Aharonov-Bohm Effect in Conductors
| Authors | Murray Peshkin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9509019 |
| URL | https://arxiv.org/abs/quant-ph/9509019 |
| DOI | 10.1103/PhysRevLett.76.2207 |
| Journal | Phys.Rev.Lett. 76 (1996) 2207-2210; Erratum-ibid. 77 (1996) 2346 |
Abstract
The Hamiltonian describing a conductor surrounding an external magnetic field contains a nonvanishing vector potential in the volume accessible to the electrons and nuclei of which the conductor is made. That vector potential cannot be removed by a gauge transformation. Nevertheless, a macroscopic normal conductor can experience no Aharonov-Bohm effect. That is proved by assuming only that a normal conductor lacks off-diagonal long-range order (ODLRO). Then by restricting the Hilbert space to density matrices which lack ODLRO, it is possible to introduce a restricted gauge transformation that removes the interaction of the conductor with the vector potential.
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"abstract": "The Hamiltonian describing a conductor surrounding an external magnetic field\ncontains a nonvanishing vector potential in the volume accessible to the\nelectrons and nuclei of which the conductor is made. That vector potential\ncannot be removed by a gauge transformation. Nevertheless, a macroscopic normal\nconductor can experience no Aharonov-Bohm effect. That is proved by assuming\nonly that a normal conductor lacks off-diagonal long-range order (ODLRO). Then\nby restricting the Hilbert space to density matrices which lack ODLRO, it is\npossible to introduce a restricted gauge transformation that removes the\ninteraction of the conductor with the vector potential.",
"arxiv_id": "quant-ph/9509019",
"authors": [
"Murray Peshkin"
],
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"quant-ph",
"hep-th"
],
"doi": "10.1103/PhysRevLett.76.2207",
"journal_ref": "Phys.Rev.Lett. 76 (1996) 2207-2210; Erratum-ibid. 77 (1996) 2346",
"title": "Off-Diagonal Long-Range Order, Restricted Gauge Transformations, and Aharonov-Bohm Effect in Conductors",
"url": "https://arxiv.org/abs/quant-ph/9509019"
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