Transient effects in two channel interactions and an application to the behavior of a time dependent shutter
The subject of transient effects in quantum mechanics has been of interest to one of the authors (MM) since long before it became possibleto 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...
| Autores: | , |
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| Tipo de documento: | artigo |
| Estado: | Versão publicada |
| Data de publicação: | 2005 |
| País: | México |
| Recursos: | Universidad Nacional Autónoma de México |
| Repositório: | Redalyc-UNAM |
| OAI Identifier: | oai:redalyc.org:57064010 |
| Acesso em linha: | https://www.redalyc.org/articulo.oa?id=57064010 https://www.redalyc.org/journal/570/57064010/ https://www.redalyc.org/journal/570/57064010/html/ https://www.redalyc.org/journal/570/57064010/57064010.epub https://www.redalyc.org/journal/570/57064010/movil |
| Access Level: | Acceso aberto |
| Palavra-chave: | Física, Astronomía y Matemáticas Transient effects time dependent shutter |
| Resumo: | The subject of transient effects in quantum mechanics has been of interest to one of the authors (MM) since long before it became possibleto 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 invariantunder 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 ±¡function potential at the origin x = 0, but whose strength was an inverse function oftime. In this paper, we follow another procedure by adding to our initial two particle channel another one, and make them interact throughappropriate time independent boundary conditions at the point of coincidence. The full problem conserves the total energy, but this doesnot happen if we restrict ourselves to a description in the first channel only. Thus, we have a rough but analytically solvable problem usinga Laplace transform, which mimics some aspects of a time-dependent shutter, and compare our results with some of those derived by thedifferent procedure of reference [2]. |
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