Anomalous Relativistic Tunneling and Exotic Point Interactions (2007)
We examine one-dimensional quantum scattering of a Dirac particle off relativistic potential barriers. With proper considerations of Dirac sea, existence of anomalous tunneling at zero...
Irregular dynamics in a solvable one-dimensional quantum graph (2006)
We show that the quantum single particle motion on a one-dimensional line with Fülöp–Tsutsui point interactions exhibits characteristics usually associated with nonintegrable systems both in...
Irregular Dynamics in a Solvable One-Dimensional Quantum Graph (2005)
We show that the quantum single particle motion on a one-dimensional line with Fulop-Tsutsui point interactions exhibits characteristics usually associated with nonintegrable systems both in bound...
Approximations by graphs and emergence of global structures (2005)
Exner, Pavel, Hejcik, Pavel, Seba, Petr
We study approximations of billiard systems by lattice graphs. It is demonstrated that under natural assumptions the graph wavefunctions approximate solutions of the Schroedinger equation with energy...