dorsal/arxiv
View SchemaHuygens' principle, the free Schrodinger particle and the quantum anti-centrifugal force
| Authors | M. A. Cirone, J. P. Dahl, M. Fedorov, D. Greenberger, W. P. Schleich |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0108083 |
| URL | https://arxiv.org/abs/quant-ph/0108083 |
| DOI | 10.1088/0953-4075/35/1/314 |
Abstract
Huygens' principle following from the d'Alembert wave equation is not valid in two-dimensional space. A Schrodinger particle of vanishing angular momentum moving freely in two dimensions experiences an attractive force - the quantum anti-centrifugal force - towards its center. We connect these two phenomena by comparing and contrasting the radial propagators of the d'Alembert wave equation and of a free non-relativistic quantum mechanical particle in two and three dimensions.
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"abstract": "Huygens\u0027 principle following from the d\u0027Alembert wave equation is not valid\nin two-dimensional space. A Schrodinger particle of vanishing angular momentum\nmoving freely in two dimensions experiences an attractive force - the quantum\nanti-centrifugal force - towards its center. We connect these two phenomena by\ncomparing and contrasting the radial propagators of the d\u0027Alembert wave\nequation and of a free non-relativistic quantum mechanical particle in two and\nthree dimensions.",
"arxiv_id": "quant-ph/0108083",
"authors": [
"M. A. Cirone",
"J. P. Dahl",
"M. Fedorov",
"D. Greenberger",
"W. P. Schleich"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0953-4075/35/1/314",
"title": "Huygens\u0027 principle, the free Schrodinger particle and the quantum anti-centrifugal force",
"url": "https://arxiv.org/abs/quant-ph/0108083"
},
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