dorsal/arxiv
View SchemaRiccati nonhermiticity with application to the Morse potential
| Authors | O. Cornejo-Perez, R. Lopez-Sandoval, H. C. Rosu |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0502074 |
| URL | https://arxiv.org/abs/quant-ph/0502074 |
| Journal | Rev. Mex. Fis. 51 (June 2005) 316-319 |
Abstract
A supersymmetric one-dimensional matrix procedure similar to relationships of the same type between Dirac and Schrodinger equations in particle physics is described at the general level. By this means we are able to introduce a nonhermitic Hamiltonian having the imaginary part proportional to the solution of a Riccati equation of the Witten type. The procedure is applied to the exactly solvable Morse potential introducing in this way the corresponding nonhermitic Morse problem. A possible application is to molecular diffraction in evanescent waves over nanostructured surfaces
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"abstract": "A supersymmetric one-dimensional matrix procedure similar to relationships of\nthe same type between Dirac and Schrodinger equations in particle physics is\ndescribed at the general level. By this means we are able to introduce a\nnonhermitic Hamiltonian having the imaginary part proportional to the solution\nof a Riccati equation of the Witten type. The procedure is applied to the\nexactly solvable Morse potential introducing in this way the corresponding\nnonhermitic Morse problem. A possible application is to molecular diffraction\nin evanescent waves over nanostructured surfaces",
"arxiv_id": "quant-ph/0502074",
"authors": [
"O. Cornejo-Perez",
"R. Lopez-Sandoval",
"H. C. Rosu"
],
"categories": [
"quant-ph"
],
"journal_ref": "Rev. Mex. Fis. 51 (June 2005) 316-319",
"title": "Riccati nonhermiticity with application to the Morse potential",
"url": "https://arxiv.org/abs/quant-ph/0502074"
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