Publications (17)
Eigenvalue statistics for random Schrodinger operators with non rank one perturbations
Peter D. Hislop, M. Krishna
We prove that certain natural random variables associated with the local eigenvalue statistics for generalized lattice Anderson models constructed with finite-rank perturbations ar…
Dynamical localization and delocalization for random Schrodinger operators with -interactions in
Peter D. Hislop, Werner Kirsch, M. Krishna
We prove that the random Schrodinger operators on with independent, identically distributed random variables and single-site potentials given by -functions on $\…
Eigenvalue statistics for Schrödinger operators with random point interactions on ,
Peter D. Hislop, Werner Kirsch, M. Krishna
We prove that the local eigenvalue statistics at energy in the localization regime for Schrödinger operators with random point interactions on , for , i…
Lifshitz tails for the Interband Light Absorption Coefficient
W. Kirsch, M. Krishna
In this paper we consider the Interband Light Absorption Coefficient for various models. We show that at the lower and upper edges of the spectrum the Lifshitz tails behaviour of t…
Spectra of Anderson type models with decaying randomness
M. Krishna, K. B. Sinha
In this paper we consider some Anderson type models, with decaying randomness and the free parts having long range tails. The randomness may decay at different rates in different d…
Analyticity of density of states for the Cauchy distribution
Werner Kirsch, M. Krishna
We compute the density of states for the Cauchy distribution for a large class of random operators and show it is analytic in a strip about the real axis.