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

Author: S. De Vincenzo



Revista Mexicana de Física ISSN: 0035-001X 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: How to cite Complete issue More information about this article Journals homepage in 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: b Departamento de Fı́sica Aplicada, Facultad de Ingenierı́a, Universidad Central de Venezuela, Caracas 1041, Venezuela. e-mail: 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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