Riccati nonhermiticity with application to the Morse potential
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| Formato: | Artículo científico |
| Lenguaje: | en |
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Sociedad Mexicana de Física A.C.
2005
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| _version_ | 1876468231925923840 |
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| author | O. Cornejo-Pérez |
| author_facet | O. Cornejo-Pérez |
| contents | Riccati nonhermiticity with application to the Morse potential O. Cornejo-Pérez R. López-Sandoval H. C. Rosu Física, Astronomía y Matemáticas supersymmetry Nonhermiticity Morse potential A supersymmetric one-dimensional matrix procedure, similar to the relationships of the same type between Dirac and Schrödinger equationsin particle physics, is described in the general terms. By this means, we are able to introduce a nonhermitic Hamiltonian having the imaginarypart proportional to the solution of a Riccati equation of the Witten type. The procedure is applied to the exactly solvable Morse potentialintroducing, in this way, the corresponding nonhermitic Morse problem. A possible application is the molecular diffraction in evanescentwaves over nanostructured surfaces. 2005 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57063915 https://www.redalyc.org/journal/570/57063915/ https://www.redalyc.org/journal/570/57063915/html/ https://www.redalyc.org/journal/570/57063915/57063915.epub https://www.redalyc.org/journal/570/57063915/movil en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.3 Vol.51 |
| format | Artículo científico |
| id | redalyc_57063915 |
| institution | Redalyc |
| language | en |
| publishDate | 2005 |
| publisher | Sociedad Mexicana de Física A.C. |
| spellingShingle | Riccati nonhermiticity with application to the Morse potential O. Cornejo-Pérez Física, Astronomía y Matemáticas supersymmetry Nonhermiticity Morse potential Riccati nonhermiticity with application to the Morse potential O. Cornejo-Pérez R. López-Sandoval H. C. Rosu Física, Astronomía y Matemáticas supersymmetry Nonhermiticity Morse potential A supersymmetric one-dimensional matrix procedure, similar to the relationships of the same type between Dirac and Schrödinger equationsin particle physics, is described in the general terms. By this means, we are able to introduce a nonhermitic Hamiltonian having the imaginarypart proportional to the solution of a Riccati equation of the Witten type. The procedure is applied to the exactly solvable Morse potentialintroducing, in this way, the corresponding nonhermitic Morse problem. A possible application is the molecular diffraction in evanescentwaves over nanostructured surfaces. 2005 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57063915 https://www.redalyc.org/journal/570/57063915/ https://www.redalyc.org/journal/570/57063915/html/ https://www.redalyc.org/journal/570/57063915/57063915.epub https://www.redalyc.org/journal/570/57063915/movil en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.3 Vol.51 |
| title | Riccati nonhermiticity with application to the Morse potential |
| topic | Física, Astronomía y Matemáticas supersymmetry Nonhermiticity Morse potential |
| url | https://www.redalyc.org/articulo.oa?id=57063915 https://www.redalyc.org/journal/570/57063915/ https://www.redalyc.org/journal/570/57063915/html/ https://www.redalyc.org/journal/570/57063915/57063915.epub https://www.redalyc.org/journal/570/57063915/movil |