Dynamics of a particle confined in a two-dimensional dilating and deforming domain

Antonino Messina, Benedetto Militello, Fabio Anzà, Sara Di Martino

Risultato della ricerca: Article

4 Citazioni (Scopus)

Abstract

Some recent results concerning a particle confined in a one-dimensional box with moving walls are briefly reviewed. By exploiting the same techniques used for the 1D problem, we investigate the behavior of a quantum particle confined in a two-dimensional box (a 2D billiard) whose walls are moving by recasting the relevant mathematical problem with moving boundaries in the form of a problem with fixed boundaries and time-dependent Hamiltonian. Changes of the shape of the box are shown to be important, as it clearly emerges from the comparison between the 'pantographic' case (same shape of the box through the entire process) and the case with deformation.
Lingua originaleEnglish
pagine (da-a)074062-1-074062-10
Numero di pagine10
RivistaPhysica Scripta
Volume90
Stato di pubblicazionePublished - 2015

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics
  • Mathematical Physics
  • Condensed Matter Physics

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