5 papers · 1 filter
Upper bounds on eigenvalue spacing for decaying potentials
Milivoje Lukic, Brian Simanek
We study decaying half-line Schrödinger operators and the local eigenvalue spacing of their Dirichlet restrictions. While absolutely continuous spectrum is strongly associated wit…
A Weyl Matrix Perspective on Unbounded Non-Self-Adjoint Jacobi Matrices
Benjamin Eichinger, Milivoje LukiÄ, Giorgio Young
A new way of encoding a non-self-adjoint Jacobi matrix by a spectral measure of together with a phase function was described by Pushnitski--\v Stampach in the bounded cas…
On point spectrum of Jacobi matrices generated by iterations of quadratic polynomials
Benjamin Eichinger, Milivoje LukiÄ, Peter Yuditskii
In general, point spectrum of an almost periodic Jacobi matrix can depend on the element of the hull. In this paper, we study the hull of the limit-periodic Jacobi matrix correspon…
Comb domains of Schrödinger operators with small quasiperiodic potentials
Ilia Binder, David Damanik, Michael Goldstein +1
We characterize spectra of Schrödinger operators with small quasiperiodic analytic potentials in terms of their comb domains, and study action variables motivated by the KdV integ…
Modified Jost solutions of Schrödinger operators with locally potentials
Milivoje LukiÄ, Xingya Wang
We study Jost solutions of Schrödinger operators with potentials which decay with respect to a local Sobolev norm; in particular, we generalize to this setting the result…