6533b839fe1ef96bd12a6709

RESEARCH PRODUCT

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

Benedetto MilitelloS. Di MartinoFabio AnzaAntonino Messina

subject

PhysicsQuantum particleQuantum PhysicsMathematical problemSettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciFOS: Physical sciencesCondensed Matter PhysicsAtomic and Molecular Physics and OpticsSettore FIS/03 - Fisica Della Materiasymbols.namesakeClassical mechanicssymbolsBoundary Conditions Moving Boundaries Time-dependent HamiltoniansDynamical billiardsHamiltonian (quantum mechanics)Quantum Physics (quant-ph)Mathematical Physics

description

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 all the process) and the case with deformation.

yearjournalcountryeditionlanguage
2014-05-28
10.1088/0031-8949/90/7/074062http://arxiv.org/abs/1405.7195