dorsal/arxiv
View SchemaDeformation of quantum mechanics in fractional-dimensional space
| Authors | A. Matos-Abiague |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0107062 |
| URL | https://arxiv.org/abs/quant-ph/0107062 |
| DOI | 10.1088/0305-4470/34/49/321 |
| Journal | J. Phys. A: Math. Gen. 34, 11059 (2001) |
Abstract
A new kind of deformed calculus (the D-deformed calculus) that takes place in fractional-dimensional spaces is presented. The D-deformed calculus is shown to be an appropriate tool for treating fractional-dimensional systems in a simple way and quite analogous to their corresponding one-dimensional partners. Two simple systems, the free particle and the harmonic oscillator in fractional- dimensional spaces are reconsidered into the framework of the D-deformed quantum mechanics. Confined states in a D-deformed quantum well are studied. D-deformed coherent states are also found.
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"abstract": "A new kind of deformed calculus (the D-deformed calculus) that takes place in\nfractional-dimensional spaces is presented. The D-deformed calculus is shown to\nbe an appropriate tool for treating fractional-dimensional systems in a simple\nway and quite analogous to their corresponding one-dimensional partners. Two\nsimple systems, the free particle and the harmonic oscillator in fractional-\ndimensional spaces are reconsidered into the framework of the D-deformed\nquantum mechanics. Confined states in a D-deformed quantum well are studied.\nD-deformed coherent states are also found.",
"arxiv_id": "quant-ph/0107062",
"authors": [
"A. Matos-Abiague"
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"quant-ph"
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"doi": "10.1088/0305-4470/34/49/321",
"journal_ref": "J. Phys. A: Math. Gen. 34, 11059 (2001)",
"title": "Deformation of quantum mechanics in fractional-dimensional space",
"url": "https://arxiv.org/abs/quant-ph/0107062"
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