5 citations · 5 across the 1 of their papers we have counts for
2 papers
math.SP2007★ 5 cited
Discrete spectrum distribution of the Landau Operator Perturbed by an Expanding Electric Potential
Grigori Rozenblum, Alexander V. Sobolev
Under a perturbation by a decaying electric potential, the Landau Hamiltonian acquires some discrete eigenvalues between the Landau levels. We study the perturbation by an "expandi…
math.SP2001
Quasi-conformal mappings and periodic spectral problems in dimension two
E. Shargorodsky, A. V. Sobolev
We study spectral properties of second order elliptic operators with periodic coefficients in dimension two. These operators act in periodic simply-connected waveguides, with eithe…