dorsal/arxiv
View SchemaAn Elementary Aharonov-Bohm System in Three Space Dimensions: Quantum Attraction With No Classical Force
| Authors | Alfred Scharff Goldhaber, Ryan Requist |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0301061 |
| URL | https://arxiv.org/abs/quant-ph/0301061 |
Abstract
As a consequence of the Aharonov-Bohm effect, there is a quantum-induced attraction between a charged particle and a rigid, impenetrable hoop made from an arbitrarily thin tube containing a superconductor quantum of magnetic flux. This is remarkable because in classical physics there is no force between the two objects, and quantum-mechanical effects (associated with uncertainty principle energy) generally are repulsive rather than attractive. For an incident spinless charged particle in a P wave (in a configuration with total angular momentum zero) we verify a resonance just above threshold using the Kohn variational principle in its S-matrix form. Even if optimistic choices of parameters describing a model system with these properties turned out to be feasible, the temperature required to observe the resonance would be far lower than has yet been attained in the laboratory.
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"abstract": "As a consequence of the Aharonov-Bohm effect, there is a quantum-induced\nattraction between a charged particle and a rigid, impenetrable hoop made from\nan arbitrarily thin tube containing a superconductor quantum of magnetic flux.\nThis is remarkable because in classical physics there is no force between the\ntwo objects, and quantum-mechanical effects (associated with uncertainty\nprinciple energy) generally are repulsive rather than attractive. For an\nincident spinless charged particle in a P wave (in a configuration with total\nangular momentum zero) we verify a resonance just above threshold using the\nKohn variational principle in its S-matrix form. Even if optimistic choices of\nparameters describing a model system with these properties turned out to be\nfeasible, the temperature required to observe the resonance would be far lower\nthan has yet been attained in the laboratory.",
"arxiv_id": "quant-ph/0301061",
"authors": [
"Alfred Scharff Goldhaber",
"Ryan Requist"
],
"categories": [
"quant-ph"
],
"title": "An Elementary Aharonov-Bohm System in Three Space Dimensions: Quantum Attraction With No Classical Force",
"url": "https://arxiv.org/abs/quant-ph/0301061"
},
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