dorsal/arxiv
View SchemaPeriodic Quasi - Exactly Solvable Models
| Authors | S. Sree Ranjani, A. K. Kapoor, P. K. Panigrahi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0403196 |
| URL | https://arxiv.org/abs/quant-ph/0403196 |
| DOI | 10.1007/s10773-005-4436-0 |
| Journal | Int. jour. of Theoretical Phys., 44, No. 8, 1167 (2005). |
Abstract
Various quasi-exact solvability conditions, involving the parameters of the periodic associated Lam{\'e} potential, are shown to emerge naturally in the quantum Hamilton-Jacobi approach. It is found that, the intrinsic nonlinearity of the Riccati type quantum Hamilton-Jacobi equation is primarily responsible for the surprisingly large number of allowed solvability conditions in the associated Lam{\'e} case. We also study the singularity structure of the quantum momentum function, which yields the band edge eigenvalues and eigenfunctions.
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"abstract": "Various quasi-exact solvability conditions, involving the parameters of the\nperiodic associated Lam{\\\u0027e} potential, are shown to emerge naturally in the\nquantum Hamilton-Jacobi approach. It is found that, the intrinsic nonlinearity\nof the Riccati type quantum Hamilton-Jacobi equation is primarily responsible\nfor the surprisingly large number of allowed solvability conditions in the\nassociated Lam{\\\u0027e} case. We also study the singularity structure of the\nquantum momentum function, which yields the band edge eigenvalues and\neigenfunctions.",
"arxiv_id": "quant-ph/0403196",
"authors": [
"S. Sree Ranjani",
"A. K. Kapoor",
"P. K. Panigrahi"
],
"categories": [
"quant-ph"
],
"doi": "10.1007/s10773-005-4436-0",
"journal_ref": "Int. jour. of Theoretical Phys., 44, No. 8, 1167 (2005).",
"title": "Periodic Quasi - Exactly Solvable Models",
"url": "https://arxiv.org/abs/quant-ph/0403196"
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