dorsal/arxiv
View SchemaAccuracy of Semiclassical Methods for Shape Invariant Potentials
| Authors | Marina Hruska, Wai-Yee Keung, Uday Sukhatme |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9611030 |
| URL | https://arxiv.org/abs/quant-ph/9611030 |
| DOI | 10.1103/PhysRevA.55.3345 |
| Journal | Phys.Rev.A55:3345-3350,1997 |
Abstract
We study the accuracy of several alternative semiclassical methods by computing analytically the energy levels for many large classes of exactly solvable shape invariant potentials. For these potentials, the ground state energies computed via the WKB method typically deviate from the exact results by about 10%, a recently suggested modification using nonintegral Maslov indices is substantially better, and the supersymmetric WKB quantization method gives exact answers for all energy levels.
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"abstract": "We study the accuracy of several alternative semiclassical methods by\ncomputing analytically the energy levels for many large classes of exactly\nsolvable shape invariant potentials. For these potentials, the ground state\nenergies computed via the WKB method typically deviate from the exact results\nby about 10%, a recently suggested modification using nonintegral Maslov\nindices is substantially better, and the supersymmetric WKB quantization method\ngives exact answers for all energy levels.",
"arxiv_id": "quant-ph/9611030",
"authors": [
"Marina Hruska",
"Wai-Yee Keung",
"Uday Sukhatme"
],
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"quant-ph"
],
"doi": "10.1103/PhysRevA.55.3345",
"journal_ref": "Phys.Rev.A55:3345-3350,1997",
"title": "Accuracy of Semiclassical Methods for Shape Invariant Potentials",
"url": "https://arxiv.org/abs/quant-ph/9611030"
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