6 citations · 6 across the 1 of their papers we have counts for
3 papers
quant-ph2007★ 6 cited
Anomalous Relativistic Tunneling and Exotic Point Interactions
Pavel Hejcik, Taksu Cheon
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…
quant-ph2005
Irregular Dynamics in a Solvable One-Dimensional Quantum Graph
Pavel Hejcik, Taksu Cheon
We show that the quantum single particle motion on a one-dimensional line with Fulop-Tsutsui point interactions exhibits characteristics usually associated with nonintegrable syste…
quant-ph2005
Approximations by graphs and emergence of global structures
Pavel Exner, Pavel Hejcik, Petr Seba
We study approximations of billiard systems by lattice graphs. It is demonstrated that under natural assumptions the graph wavefunctions approximate solutions of the Schroedinger e…