Now showing items 1-4 of 4
coupling constant thresholds of perturbed periodic Hamiltonians
(AIP Publishing, 1998-09)
We consider Schrodinger operators of the form H-lambda= -Delta + V + lambda W on L-2(R-v) (v=1, 2, or 3) with V periodic, W short range, and lambda a real non-negative parameter. Then the continuous spectrum of H-lambda ...
spectral properties of the Kronig-Penney Hamiltonian with a localized impurity
(AIP Publishing, 1989-06)
It is shown that there exist bound states of the operator H ±λ=−(d 2/d x 2) +∑ m∈Z δ(⋅−(2m+1)π)±λW, W being an L 1(−∞,+∞) non‐negative function, in every sufficiently far gap of the spectrum of H 0=−d 2/d x 2 +∑ m∈Z ...
wave operators for the matrix Zakharov-Shabat system
(AIP Publishing, 2010-05)
In this article, we prove the similarity (and, in the focusing case, the J-unitary equivalence) of the free Hamiltonian and the restriction of the full Hamiltonian to the maximal invariant subspace on which its spectrum ...
asymptotic-behavior of Jost functions near resonance points for Wigner-Vonneumann type potentials
(AIP Publishing, 1991-01)
In this work are considered radial Schrodinger operators - psi" + V(r)-psi = E-psi, where V(r) = a sin br/r + W(r) with W(r) bounded, W(r) = O(r-2) at infinity (a,b real). The asymptotic behavior of the Jost function and ...