dorsal/arxiv
View SchemaIntertwining technique for the one-dimensional stationary Dirac equation
| Authors | L. M. Nieto, A. A. Pecheritsin, Boris F. Samsonov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0307152 |
| URL | https://arxiv.org/abs/quant-ph/0307152 |
| DOI | 10.1016/S0003-4916(03)00071-X |
| Journal | Annals of Physics 305 (2003) 151-189 |
Abstract
The technique of differential intertwining operators (or Darboux transformation operators) is systematically applied to the one-dimensional Dirac equation. The following aspects are investigated: factorization of a polynomial of Dirac Hamiltonians, quadratic supersymmetry, closed extension of transformation operators, chains of transformations, and finally particular cases of pseudoscalar and scalar potentials. The method is widely illustrated by numerous examples.
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"abstract": "The technique of differential intertwining operators (or Darboux\ntransformation operators) is systematically applied to the one-dimensional\nDirac equation.\n The following aspects are investigated: factorization of a polynomial of\nDirac Hamiltonians, quadratic supersymmetry, closed extension of transformation\noperators, chains of transformations, and finally particular cases of\npseudoscalar and scalar potentials. The method is widely illustrated by\nnumerous examples.",
"arxiv_id": "quant-ph/0307152",
"authors": [
"L. M. Nieto",
"A. A. Pecheritsin",
"Boris F. Samsonov"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/S0003-4916(03)00071-X",
"journal_ref": "Annals of Physics 305 (2003) 151-189",
"title": "Intertwining technique for the one-dimensional stationary Dirac equation",
"url": "https://arxiv.org/abs/quant-ph/0307152"
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