24 citations · 74 across the 13 of their papers we have counts for
5 papers · 1 filter
A solvable model for scattering on a junction and a modified analytic perturbation procedure
B. Pavlov
We consider a one-body spin-less electron spectral problem for a resonance scattering system constructed of a quantum well weakly connected to a noncompact exterior reservoir, wher…
Tectonic plate under a localized boundary stress: fitting of a zero-range solvable model
L. Petrova, B. Pavlov
We suggest a method of fitting of a zero-range model of a tectonic plate under a boundary stress on the basis of comparison of the theoretical formulae for the corresponding eigenf…
Manipulating the electron current through a splitting
M. Harmer, A. Mikhailova, B. S. Pavlov
The description of electron current through a splitting is a mathematical problem of electron transport in quantum networks. For quantum networks constructed on the interface of na…
Boundary condition at the junction
M. Harmer, B. S. Pavlov, A. Yafyasov
The quantum graph plays the role of a solvable model for a two-dimensional network. Here fitting parameters of the quantum graph for modelling the junction is discussed, using prev…
Modelling of Quantum Networks
Anna Mikhailova, Boris Pavlov, Lev Prokhorov
We develop the analytic perturbation technique on the absolutely continuous spectrum and calculate the Scattering matrix for the Schrödinger operator on the Quantum Network based o…