dorsal/arxiv
View SchemaA General Approach of Quasi-Exactly Solvable Schroedinger Equations
| Authors | N. Debergh, J. Ndimubandi, B. Van den Bossche |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0201100 |
| URL | https://arxiv.org/abs/quant-ph/0201100 |
| DOI | 10.1006/aphy.2002.6260 |
Abstract
We construct a general algorithm generating the analytic eigenfunctions as well as eigenvalues of one-dimensional stationary Schroedinger Hamiltonians. Both exact and quasi-exact Hamiltonians enter our formalism but we focus on quasi-exact interactions for which no such general approach has been considered before. In particular we concentrate on a generalized sextic oscillator but also on the Lame and the screened Coulomb potentials.
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"abstract": "We construct a general algorithm generating the analytic eigenfunctions as\nwell as eigenvalues of one-dimensional stationary Schroedinger Hamiltonians.\nBoth exact and quasi-exact Hamiltonians enter our formalism but we focus on\nquasi-exact interactions for which no such general approach has been considered\nbefore. In particular we concentrate on a generalized sextic oscillator but\nalso on the Lame and the screened Coulomb potentials.",
"arxiv_id": "quant-ph/0201100",
"authors": [
"N. Debergh",
"J. Ndimubandi",
"B. Van den Bossche"
],
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"quant-ph"
],
"doi": "10.1006/aphy.2002.6260",
"title": "A General Approach of Quasi-Exactly Solvable Schroedinger Equations",
"url": "https://arxiv.org/abs/quant-ph/0201100"
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