28 citations · 83 across the 11 of their papers we have counts for
12 papers
Semi-classical Green functions
Anatoly Anikin, Sergey Dobrokhotov, Vladimir Nazaikinskii +1
Let be a semi-classical Hamiltonian on , and a non critical energy surface. Consider a semi-classica…
Electronic optics in graphene in the semiclassical approximation
K. J. A. Reijnders, D. S. Minenkov, M. I. Katsnelson +1
We study above-barrier scattering of Dirac electrons by a smooth electrostatic potential combined with a coordinate-dependent mass in graphene. We assume that the potential and mas…
Asymptotics of Green function for the linear waves equations in a domain with a non-uniform bottom
Anatoly Anikin, Serguei Dobrokhotov, Vladimir Nazaikinskii +1
We consider the linear problem for water-waves created by sources on the bottom and the free surface in a 3-D basin having slowly varying profile . The fluid verifies Eule…
New formulas for Maslov's canonical operator in a neighborhood of focal points and caustics in 2D semiclassical asymptotics
S. Yu. Dobrokhotov, G. Makrakis, V. E. Nazaikinskii +1
We suggest a new representation of Maslov's canonical operator in a neighborhood of the caustics using a special class of coordinate systems ("eikonal coordinates") on Lagrangian m…
Fourier integrals and a new representation of Maslov's canonical operator near caustics
S. Yu. Dobrokhotov, G. Makrakis, V. E. Nazaikinskii
We suggest a new representation of Maslov's canonical operator in a neighborhood of the caustics using a special class of coordinate systems ("eikonal coordinates") on Lagrangian m…
The semiclassical Maupertuis-Jacobi correspondence for quasi-periodic Hamiltonian flows: stable and unstable spectra
Sergey Dobrokhotov, Michel Rouleux
We investigate semi-classical properties of Maupertuis-Jacobi correspondence in 2-D for families of Hamiltonians , when is the pertur…