dorsal/arxiv
View SchemaUnusual bound or localized states
| Authors | M. A. Cirone, G. Metikas, W. P. Schleich |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0102065 |
| URL | https://arxiv.org/abs/quant-ph/0102065 |
| DOI | 10.1515/zna-2001-0109 |
| Journal | Z. Naturforsch, 56 a, 1-13 (2001) |
Abstract
We summarize unusual bound or localized states in quantum mechanics. Our guide through these intriguing phenomena is the classical physics of the upside-down pendulum. Taking advantage of the analogy between the corresponding Newton's equation of motion and the time-independent Schr\"{o}dinger equation, we discuss the zero-energy ground state in a three-dimensional, spatially oscillating, potential. Moreover, we focus on the effect of the attractive quantum anti-centrifugal potential that only occurs in a two-dimensional situation.
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"abstract": "We summarize unusual bound or localized states in quantum mechanics. Our\nguide through these intriguing phenomena is the classical physics of the\nupside-down pendulum. Taking advantage of the analogy between the corresponding\nNewton\u0027s equation of motion and the time-independent Schr\\\"{o}dinger equation,\nwe discuss the zero-energy ground state in a three-dimensional, spatially\noscillating, potential. Moreover, we focus on the effect of the attractive\nquantum anti-centrifugal potential that only occurs in a two-dimensional\nsituation.",
"arxiv_id": "quant-ph/0102065",
"authors": [
"M. A. Cirone",
"G. Metikas",
"W. P. Schleich"
],
"categories": [
"quant-ph"
],
"doi": "10.1515/zna-2001-0109",
"journal_ref": "Z. Naturforsch, 56 a, 1-13 (2001)",
"title": "Unusual bound or localized states",
"url": "https://arxiv.org/abs/quant-ph/0102065"
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