dor_id: 41258

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100.1.#.a: Kramer, Tobias; Moshinsky, Marcos

524.#.#.a: Kramer, Tobias, et al. (2005). Transient effects in two channel interactions and an application to the behavior of a time dependent shutter. Revista Mexicana de Física; Vol 51, No 004. Recuperado de https://repositorio.unam.mx/contenidos/41258

245.1.0.a: Transient effects in two channel interactions and an application to the behavior of a time dependent shutter

502.#.#.c: Universidad Nacional Autónoma de México

561.1.#.a: Facultad de Ciencias, UNAM

264.#.0.c: 2005

264.#.1.c: 2005-01-01

653.#.#.a: Transient effects; time dependent shutter

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041.#.7.h: eng

520.3.#.a: The subject of transient effects in quantum mechanics has been of interest to one of the authors (MM) since long before it became possible to study them experimentally. In particular, the problem of opening a shutter instantaneously led him to the concept of diffraction in time [1]. Physically, it is only possible to open a shutter as a function of time and this complicates the problem greatly, as it is then not invariant under time translations and thus, among other difficulties, the energy of the system is not a constant of the motion. Kleber and Scheitler [2] analyzed the problem describing the shutter as a δ−function potential at the origin x = 0, but whose strength was an inverse function of time. In this paper, we follow another procedure by adding to our initial two particle channel another one, and make them interact through appropriate time independent boundary conditions at the point of coincidence. The full problem conserves the total energy, but this does not happen if we restrict ourselves to a description in the first channel only. Thus, we have a rough but analytically solvable problem using a Laplace transform, which mimics some aspects of a time-dependent shutter, and compare our results with some of those derived by the different procedure of reference [2].

773.1.#.t: Revista Mexicana de Física; Vol 51, No 004 (2005)

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Artículo

Transient effects in two channel interactions and an application to the behavior of a time dependent shutter

Kramer, Tobias; Moshinsky, Marcos

Facultad de Ciencias, UNAM, publicado en Revista Mexicana de Física, y cosechado de Revistas UNAM

Licencia de uso

Procedencia del contenido

Entidad o dependencia
Facultad de Ciencias, UNAM
Revista
Repositorio
Contacto
Revistas UNAM. Dirección General de Publicaciones y Fomento Editorial, UNAM en revistas@unam.mx

Cita

Kramer, Tobias, et al. (2005). Transient effects in two channel interactions and an application to the behavior of a time dependent shutter. Revista Mexicana de Física; Vol 51, No 004. Recuperado de https://repositorio.unam.mx/contenidos/41258

Descripción del recurso

Autor(es)
Kramer, Tobias; Moshinsky, Marcos
Tipo
Artículo de Investigación
Área del conocimiento
Físico Matemáticas y Ciencias de la Tierra
Título
Transient effects in two channel interactions and an application to the behavior of a time dependent shutter
Fecha
2005-01-01
Resumen
The subject of transient effects in quantum mechanics has been of interest to one of the authors (MM) since long before it became possible to study them experimentally. In particular, the problem of opening a shutter instantaneously led him to the concept of diffraction in time [1]. Physically, it is only possible to open a shutter as a function of time and this complicates the problem greatly, as it is then not invariant under time translations and thus, among other difficulties, the energy of the system is not a constant of the motion. Kleber and Scheitler [2] analyzed the problem describing the shutter as a δ−function potential at the origin x = 0, but whose strength was an inverse function of time. In this paper, we follow another procedure by adding to our initial two particle channel another one, and make them interact through appropriate time independent boundary conditions at the point of coincidence. The full problem conserves the total energy, but this does not happen if we restrict ourselves to a description in the first channel only. Thus, we have a rough but analytically solvable problem using a Laplace transform, which mimics some aspects of a time-dependent shutter, and compare our results with some of those derived by the different procedure of reference [2].
Tema
Transient effects; time dependent shutter
Idioma
eng
ISSN
2683-2224 (digital); 0035-001X (impresa)

Enlaces