12 citations · 17 across the 3 of their papers we have counts for
3 papers
math.SP2020★ 1 cited
On finitely many resonances emerging under distant perturbations in multi-dimensional cylinders
D. I. Borisov, A. M. Golovina
We consider a general elliptic operator in an infinite multi-dimensional cylinder with several distant perturbations; this operator is obtained by ``gluing'' several single perturb…
math.AP2015★ 4 cited
Quantum Hamiltonians with weak random abstract perturbation. I. Initial length scale estimate
Denis Borisov, Anastasia Golovina, Ivan Veselic
We study random Hamiltonians on finite-size cubes and waveguide segments of increasing diameter. The number of random parameters determining the operator is proportional to the vol…
math-ph2012★ 12 cited
Tunneling resonances in systems without a classical trapping
D. Borisov, P. Exner, A. Golovina
In this paper we analyze a free quantum particle in a straight Dirichlet waveguide which has at its axis two Dirichlet barriers of lengths separated by a window of lengt…