4 citations · 8 across the 2 of their papers we have counts for
4 papers
Lifschitz Tails for Random Schrödinger Operator in Bernoulli Distributed Potentials
Michael Bishop, Vita Borovyk, Jan Wehr
This paper presents an elementary proof of Lifschitz tail behavior for random discrete Schrödinger operators with a Bernoulli-distributed potential. The proof approximates the low…
The Klein-Gordon Equation on and the Quantum Harmonic Lattice
Vita Borovyk, Michael Goldberg
The discrete Klein-Gordon equation on a two-dimensional square lattice satisfies an dispersive bound with polynomial decay rate . We determ…
Dispersive Estimates for Harmonic Oscillator Systems
Vita Borovyk, Robert Sims
We consider a large class of harmonic systems, each defined as a quasi-free dynamics on the Weyl algebra over . In contrast to recently obtained, short-time l…
On the weak and ergodic limit of the spectral shift function
V. Borovyk, K. A. Makarov
We discuss convergence properties of the spectral shift functions associated with a pair of Schrodinger operators with Dirichlet boundary conditions at the end points of a finite i…