dorsal/arxiv
View SchemaQuantum force due to distinct boundary conditions
| Authors | Tamas Fulop, Hitoshi Miyazaki, Izumi Tsutsui |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0309095 |
| URL | https://arxiv.org/abs/quant-ph/0309095 |
| DOI | 10.1142/S0217732303012799 |
Abstract
We calculate the quantum statistical force acting on a partition wall that divides a one dimensional box into two halves. The two half boxes contain the same (fixed) number of noninteracting bosons, are kept at the same temperature, and admit the same boundary conditions at the outer walls; the only difference is the distinct boundary conditions imposed at the two sides of the partition wall. The net force acting on the partition wall is nonzero at zero temperature and remains almost constant for low temperatures. As the temperature increases, the force starts to decrease considerably, but after reaching a minimum it starts to increase, and tends to infinity with a square-root-of-temperature asympotics. This example demonstrates clearly that distinct boundary conditions cause remarkable physical effects for quantum systems.
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"abstract": "We calculate the quantum statistical force acting on a partition wall that\ndivides a one dimensional box into two halves. The two half boxes contain the\nsame (fixed) number of noninteracting bosons, are kept at the same temperature,\nand admit the same boundary conditions at the outer walls; the only difference\nis the distinct boundary conditions imposed at the two sides of the partition\nwall. The net force acting on the partition wall is nonzero at zero temperature\nand remains almost constant for low temperatures. As the temperature increases,\nthe force starts to decrease considerably, but after reaching a minimum it\nstarts to increase, and tends to infinity with a square-root-of-temperature\nasympotics. This example demonstrates clearly that distinct boundary conditions\ncause remarkable physical effects for quantum systems.",
"arxiv_id": "quant-ph/0309095",
"authors": [
"Tamas Fulop",
"Hitoshi Miyazaki",
"Izumi Tsutsui"
],
"categories": [
"quant-ph"
],
"doi": "10.1142/S0217732303012799",
"title": "Quantum force due to distinct boundary conditions",
"url": "https://arxiv.org/abs/quant-ph/0309095"
},
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