dorsal/arxiv
View SchemaQuantum anti-centrifugal force
| Authors | M. A. Cirone, K. Rzazewski, W. P. Schleich, F. Straub, J. A. Wheeler |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0108069 |
| URL | https://arxiv.org/abs/quant-ph/0108069 |
| DOI | 10.1103/PhysRevA.65.022101 |
| Journal | Phys.Rev.A65:022101,2002 |
Abstract
In a two-dimensional world a free quantum particle of vanishing angular momentum experiences an attractive force. This force originates from a modification of the classical centrifugal force due to the wave nature of the particle. For positive energies the quantum anti-centrifugal force manifests itself in a bunching of the nodes of the energy wave functions towards the origin. For negative energies this force is sufficient to create a bound state in a two-dimensional delta function potential. In a counter-intuitive way the attractive force pushes the particle away from the location of the delta function potential. As a consequence, the particle is localized in a band-shaped domain around the origin
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"abstract": "In a two-dimensional world a free quantum particle of vanishing angular\nmomentum experiences an attractive force. This force originates from a\nmodification of the classical centrifugal force due to the wave nature of the\nparticle. For positive energies the quantum anti-centrifugal force manifests\nitself in a bunching of the nodes of the energy wave functions towards the\norigin. For negative energies this force is sufficient to create a bound state\nin a two-dimensional delta function potential. In a counter-intuitive way the\nattractive force pushes the particle away from the location of the delta\nfunction potential. As a consequence, the particle is localized in a\nband-shaped domain around the origin",
"arxiv_id": "quant-ph/0108069",
"authors": [
"M. A. Cirone",
"K. Rzazewski",
"W. P. Schleich",
"F. Straub",
"J. A. Wheeler"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.65.022101",
"journal_ref": "Phys.Rev.A65:022101,2002",
"title": "Quantum anti-centrifugal force",
"url": "https://arxiv.org/abs/quant-ph/0108069"
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