Introduction Though numerous quantum phenomena can be explained by usual semiclassical concepts, a complete theory --- even in the case of the nonrelativistic quantum mechanics --- is certainly...
A single--mode quantum transport in serial--structure geometric scatterers P. Exner,
Krejcir'ik: Waveguides coupled through a semitransparent barrier: a Birman-Schwinger analysis (2000)
P. Exner, Rez Near Prague, D. Krej
The paper is devoted to a model of a mesoscopic system consisting of a pair of parallel planar waveguides separated by an infinitely thin semitransparent boundary modeled by a transverse ffi...
A duality between Schrödinger operators on graphs and certain Jacobi matrices (1997)
this paper is to show that the same duality can be established for a wide class of Schrodinger operators on graphs, including the case of a nonempty boundary. In general, the resulting Jacobi...
Contact Interactions on Graph Superlattices (1996)
this paper is to show that they represent in a sense a counterpart to the coupling given by (1.1), and that they generalize naturally the concept of ffi
Weakly Coupled States on Branching Graphs (1996)
. We consider a Schrodinger particle on a graph consisting of N links joined at a single point. Each link supports a real locally integrable potential V j ; the self--adjointness is ensured by the...