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.
Anzà, F., Martino, S., Messina, A., Militello, B. (2015). Dynamics of a particle confined in a two-dimensional dilating and deforming domain. PHYSICA SCRIPTA, 90(7), 074062-1-074062-10 [10.1088/0031-8949/90/7/074062].
Dynamics of a particle confined in a two-dimensional dilating and deforming domain
MESSINA, Antonino
;MILITELLO, Benedetto
2015-01-01
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.File | Dimensione | Formato | |
---|---|---|---|
DiMartino.pdf
Solo gestori archvio
Tipologia:
Post-print
Dimensione
347.1 kB
Formato
Adobe PDF
|
347.1 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
Dynamics of a particle confined in a two-dimensional dilating and deforming domain.pdf
Solo gestori archvio
Tipologia:
Versione Editoriale
Dimensione
347.62 kB
Formato
Adobe PDF
|
347.62 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.