Voltar para Publicações

Boundary integral method for quantum billiards in a constant magnetic field

We derive a boundary integral equation to compute the eigenvalues of two-dimensional billiards subjected to a magnetic field. The integral requires the Green s function of the boundary-free problem with the magnetic field pointing in the opposite direction. This Green s function is computed for the case of a constant magnetic field perpendicular to the billiard and some applications are discussed. The elliptical billiard is then studied numerically as an example of a nontrivial application.

PDF

Deixe um comentário

Seu e-mail não será publicado.