18 citations · 53 across the 9 of their papers we have counts for
Showing 2009Show all
3 papers · 1 filter
math-ph2009
Lower bound on the density of states for periodic Schrödinger operators
Sergey Morozov, Leonid Parnovski, Irina Pchelintseva
We consider Schrödinger operators with smooth periodic potentials in Euclidean spaces of dimension bigger than 1 and prove a uniform lower bound on the density of states for large…
math.SP2009★ 12 cited
Weakly coupled bound states of Pauli operators
Rupert L. Frank, Sergey Morozov, Semjon Vugalter
We consider the two-dimensional Pauli operator perturbed by a weakly coupled, attractive potential. We show that besides the eigenvalues arising from the Aharonov-Casher zero modes…
math-ph2009★ 3 cited
Exponential decay of eigenfunctions of Brown-Ravenhall operators
Sergey Morozov
We prove the exponential decay of eigenfunctions of reductions of Brown-Ravenhall operators to arbitrary irreducible representations of rotation-reflection and permutation symmetry…