30 citations · 78 across the 11 of their papers we have counts for
11 papers
Semiclassical Analysis of Tunneling in Graphene under Nonuniform Electrostatic and Magnetic Fields
Maria V. Perel
We develop a semiclassical theory of tunnelling of Dirac fermions through an n-p-n junction in monolayer graphene subjected to a perpendicular magnetic field. Electrostatic and mag…
Modes transformation for a Schroedinger type equation: avoided and unavoidable level crossings
Ignat Fialkovsky, Maria Perel
An asymptotic approach for a Schroedinger type equation with a non selfadjoint slowly varying Hamiltonian of a special type is developed. The Hamiltonian is assumed to be the resul…
A unifying asymptotic approach for nonadiabatic transitions near pairs of real or complex turning points
Ignat Fialkovsky, Maria Perel
An asymptotic approach for a Schroedinger type equation with non selfadjoint Hamiltonian of a special type in the case of two close degeneracy (turning) points is developed. Both r…
Two-Scale Approach to an Asymptotic Solution of Maxwell Equations in Layered Periodic Media
Maria V. Perel, Mikhail S. Sidorenko
An asymptotic investigation of monochromatic electromagnetic fields in a layered periodic medium is carried out under the assumption that the wave frequency is close to the frequen…
On astigmatic solutions of the wave and the Klein-Gordon-Fock equations with exponential fall--off
Ignat V. Fialkovsky, Maria V. Perel, Alexander B. Plachenov
Highly localized explicit solutions to multidimensional wave and Klein--Gordon--Fock equations are presented. Their Fourier transform is also found explicitly. Solutions depend on…
Representations of solutions of the wave equation based on relativistic wavelets
Maria V. Perel, Evgeny A. Gorodnitskiy
A representation of solutions of the wave equation with two spatial coordinates in terms of localized elementary ones is presented. Elementary solutions are constructed from four s…