dorsal/arxiv
View SchemaIrreducible second order SUSY transformations between real and complex potentials
| Authors | B. F. Samsonov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0602101 |
| URL | https://arxiv.org/abs/quant-ph/0602101 |
| DOI | 10.1016/j.physleta.2006.04.109 |
| Journal | Physics Letters A 358 (2006) 105-114 |
Abstract
Second order SUSY transformations between real and complex potentials for three important from physical point of view Sturm-Liouville problems, namely, problems with the Dirichlet boundary conditions for a finite interval, for a half axis and for the whole real line are analyzed. For every problem conditions on transformation functions are formulated when transformations are irreducible, i.e. when either the intermediate Hamiltonian is not well defined in the same Hilbert space as the initial and final Hamiltonians or its eigenfunctions cannot be obtained by applying transformation operator either on eigenfunctions of the initial Hamiltonian or on these of the final Hamiltonian. Obtained results are illustrated by numerous simple examples.
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"abstract": "Second order SUSY transformations between real and complex potentials for\nthree important from physical point of view Sturm-Liouville problems, namely,\nproblems with the Dirichlet boundary conditions for a finite interval, for a\nhalf axis and for the whole real line are analyzed. For every problem\nconditions on transformation functions are formulated when transformations are\nirreducible, i.e. when either the intermediate Hamiltonian is not well defined\nin the same Hilbert space as the initial and final Hamiltonians or its\neigenfunctions cannot be obtained by applying transformation operator either on\neigenfunctions of the initial Hamiltonian or on these of the final Hamiltonian.\nObtained results are illustrated by numerous simple examples.",
"arxiv_id": "quant-ph/0602101",
"authors": [
"B. F. Samsonov"
],
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"quant-ph"
],
"doi": "10.1016/j.physleta.2006.04.109",
"journal_ref": "Physics Letters A 358 (2006) 105-114",
"title": "Irreducible second order SUSY transformations between real and complex potentials",
"url": "https://arxiv.org/abs/quant-ph/0602101"
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