dorsal/arxiv
View SchemaA Selective Relaxation Method for Numerical Solution of Schr\"odinger Problems
| Authors | Carlo Presilla, Ubaldo Tambini |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9505005 |
| URL | https://arxiv.org/abs/quant-ph/9505005 |
| DOI | 10.1103/PhysRevE.52.4495 |
| Journal | Phys.Rev. E52 (1995) 4495-4498 |
Abstract
We propose a numerical method for evaluating eigenvalues and eigenfunctions of Schr\"odinger operators with general confining potentials. The method is selective in the sense that only the eigenvalue closest to a chosen input energy is found through an absolutely-stable relaxation algorithm which has rate of convergence infinite. In the case of bistable potentials the method allows one to evaluate the fundamental energy splitting for a wide range of tunneling rates.
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"abstract": "We propose a numerical method for evaluating eigenvalues and eigenfunctions\nof Schr\\\"odinger operators with general confining potentials. The method is\nselective in the sense that only the eigenvalue closest to a chosen input\nenergy is found through an absolutely-stable relaxation algorithm which has\nrate of convergence infinite. In the case of bistable potentials the method\nallows one to evaluate the fundamental energy splitting for a wide range of\ntunneling rates.",
"arxiv_id": "quant-ph/9505005",
"authors": [
"Carlo Presilla",
"Ubaldo Tambini"
],
"categories": [
"quant-ph",
"comp-gas",
"cond-mat",
"hep-lat",
"nlin.CG"
],
"doi": "10.1103/PhysRevE.52.4495",
"journal_ref": "Phys.Rev. E52 (1995) 4495-4498",
"title": "A Selective Relaxation Method for Numerical Solution of Schr\\\"odinger Problems",
"url": "https://arxiv.org/abs/quant-ph/9505005"
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