dorsal/arxiv
View SchemaPseudo-Hermitian version of the charged harmonic oscillator and its "forgotten" exact solutions
| Authors | Miloslav Znojil |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0206085 |
| URL | https://arxiv.org/abs/quant-ph/0206085 |
Abstract
An unusual type of the exact solvability is reported. It is exemplified by the Coulomb plus harmonic oscillator in D dimensions after a complexification of its Hamiltonian which keeps the energies real. Infinitely many bound states are found in closed form which generalizes the even-parity harmonic-oscillator states at zero charge. Apparently, the model is halfway between exact and quasi-exact.
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"abstract": "An unusual type of the exact solvability is reported. It is exemplified by\nthe Coulomb plus harmonic oscillator in D dimensions after a complexification\nof its Hamiltonian which keeps the energies real. Infinitely many bound states\nare found in closed form which generalizes the even-parity harmonic-oscillator\nstates at zero charge. Apparently, the model is halfway between exact and\nquasi-exact.",
"arxiv_id": "quant-ph/0206085",
"authors": [
"Miloslav Znojil"
],
"categories": [
"quant-ph"
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"title": "Pseudo-Hermitian version of the charged harmonic oscillator and its \"forgotten\" exact solutions",
"url": "https://arxiv.org/abs/quant-ph/0206085"
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