dorsal/arxiv
View SchemaQuasi-exact minus-quartic oscillators in strong-core regime
| Authors | Miloslav Znojil |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0602231 |
| URL | https://arxiv.org/abs/quant-ph/0602231 |
| DOI | 10.1016/j.physleta.2006.05.075 |
| Journal | Phys. Lett. A 359 (2006) 21 - 25 |
Abstract
PT-symmetric potentials $V({x}) = -{x}^4 +\j B {x}^3 + C {x}^2+\j D {x} +\j F/{x} +G/{x}^2$ are quasi-exactly solvable, i.e., a specific choice of a small $G=G^{(QES)}= integer/4$ is known to lead to wave functions $\psi^{(QES)}(x)$ in closed form at certain charges $F=F^{(QES)}$ and energies $E=E^{(QES)}$. The existence of an alternative, simpler and non-numerical version of such a construction is announced here in the new dynamical regime of very large $G^{(QES)} \to \infty$.
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"abstract": "PT-symmetric potentials $V({x}) = -{x}^4 +\\j B {x}^3 + C {x}^2+\\j D {x} +\\j\nF/{x} +G/{x}^2$ are quasi-exactly solvable, i.e., a specific choice of a small\n$G=G^{(QES)}= integer/4$ is known to lead to wave functions $\\psi^{(QES)}(x)$\nin closed form at certain charges $F=F^{(QES)}$ and energies $E=E^{(QES)}$. The\nexistence of an alternative, simpler and non-numerical version of such a\nconstruction is announced here in the new dynamical regime of very large\n$G^{(QES)} \\to \\infty$.",
"arxiv_id": "quant-ph/0602231",
"authors": [
"Miloslav Znojil"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/j.physleta.2006.05.075",
"journal_ref": "Phys. Lett. A 359 (2006) 21 - 25",
"title": "Quasi-exact minus-quartic oscillators in strong-core regime",
"url": "https://arxiv.org/abs/quant-ph/0602231"
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