dorsal/arxiv
View SchemaA Novel Quasi-Exactly Solvable Model with Total Transmission Modes
| Authors | Hing-Tong Cho, Choon-Lin Ho |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0606144 |
| URL | https://arxiv.org/abs/quant-ph/0606144 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
In this paper we present a novel quasi-exactly solvable model with symmetric inverted potentials which are unbounded from below. The quasi-exactly solvable states are shown to be total transmission (or reflectionless) modes. From these modes even and odd wavefunctions can be constructed which are normalizable and flux-zero. Under the procedure of self-adjoint extension, a discrete spectrum of bound states can be obtained for these inverted potentials and the solvable part of the spectrum is the quasi-exactly solvable states we have discovered.
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"date_created": "2026-03-02T18:02:27.617000Z",
"date_modified": "2026-03-02T18:02:27.617000Z",
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"abstract": "In this paper we present a novel quasi-exactly solvable model with symmetric\ninverted potentials which are unbounded from below. The quasi-exactly solvable\nstates are shown to be total transmission (or reflectionless) modes. From these\nmodes even and odd wavefunctions can be constructed which are normalizable and\nflux-zero. Under the procedure of self-adjoint extension, a discrete spectrum\nof bound states can be obtained for these inverted potentials and the solvable\npart of the spectrum is the quasi-exactly solvable states we have discovered.",
"arxiv_id": "quant-ph/0606144",
"authors": [
"Hing-Tong Cho",
"Choon-Lin Ho"
],
"categories": [
"quant-ph",
"hep-th"
],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "A Novel Quasi-Exactly Solvable Model with Total Transmission Modes",
"url": "https://arxiv.org/abs/quant-ph/0606144"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "a9ddf45e-d64d-4012-9035-cc23dc842d91",
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"type": "Model",
"variant": "snapshot-2026-03-01",
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