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C. Sánchez ;Revista Mexicana de Física 2016, 62 (2)

Author: S. De Vincenzo

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Revista Mexicana de Física ISSN: 0035-001X rmf@ciencias.unam.mx Sociedad Mexicana de Física A.C. México De Vincenzo, S.; Sánchez, C. One-dimensional point interactions and bound states Revista Mexicana de Física, vol.
62, núm.
2, julio-diciembre, 2016, pp.
117-124 Sociedad Mexicana de Física A.C. Distrito Federal, México Available in: http:--www.redalyc.org-articulo.oa?id=57048166008 How to cite Complete issue More information about this article Journals homepage in redalyc.org Scientific Information System Network of Scientific Journals from Latin America, the Caribbean, Spain and Portugal Non-profit academic project, developed under the open access initiative EDUCATION Revista Mexicana de Fı́sica E 62 (2016) 117–124 JULY–DECEMBER 2016 One-dimensional point interactions and bound states S.
De Vincenzoa and C.
Sáncheza,b Escuela de Fı́sica, Facultad de Ciencias, Universidad Central de Venezuela, A.P.
47145, Caracas 1041-A, Venezuela. e-mail: salvatore.devincenzo@ucv.ve b Departamento de Fı́sica Aplicada, Facultad de Ingenierı́a, Universidad Central de Venezuela, Caracas 1041, Venezuela. e-mail: carlet.sanchez@ciens.ucv.ve a Received 11 March 2016; accepted 3 May 2016 We analyze various representative examples of nonrelativistic (Schrödinger) point interactions in one dimension, with boundary conditions and with singular potentials, and study their corresponding bound states. Keywords: One-dimensional point interactions; boundary conditions; singular potentials; bound states. PACS: 03.65.-w; 03.65.Db; 03.65.Ge 1. Introduction As is well known, the problem of a quantum particle moving on a real line with a point interaction (or a singular perturbation) at a single point, can be treated in two equivalent modes: (i) by considering an alternative free system without the singular potential (i.e., V (x) = 0) and excluding the singular point, in which case the interaction is encoded in proper boundary conditions, and (ii) by explicitly ...





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