dorsal/arxiv
View SchemaA new type of solution of the Schr\"odinger equation on a self-similar fractal potential
| Authors | N L Chuprikov, O V Spiridonova |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0607097 |
| URL | https://arxiv.org/abs/quant-ph/0607097 |
| DOI | 10.1088/0305-4470/39/37/L01 |
| Journal | J. Phys. A: Math. Gen. 39 (2006) L559-L562 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
Scattering a quantum particle by a self-similar fractal potential on a Cantor set is investigated. We present a new type of solution of the functional equation for the transfer matrix of this potential, which was derived earlier from the Schr\"odinger equation.
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"abstract": "Scattering a quantum particle by a self-similar fractal potential on a Cantor\nset is investigated. We present a new type of solution of the functional\nequation for the transfer matrix of this potential, which was derived earlier\nfrom the Schr\\\"odinger equation.",
"arxiv_id": "quant-ph/0607097",
"authors": [
"N L Chuprikov",
"O V Spiridonova"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/39/37/L01",
"journal_ref": "J. Phys. A: Math. Gen. 39 (2006) L559-L562",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "A new type of solution of the Schr\\\"odinger equation on a self-similar fractal potential",
"url": "https://arxiv.org/abs/quant-ph/0607097"
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