Results 81 to 89 of about 1,726 (89)

Explicit formulas for the Schroedinger wave operators in R^2

, 2012
In this note, we derive explicit formulas for the Schroedinger wave operators in R^2 under the assumption that 0-energy is neither an eigenvalue nor a resonance.
de Aldecoa, R. Tiedra, Richard, S.
core   +1 more source

Existence and properties of soliton solution for the quasilinear Schrödinger system

Open Mathematics
In this article, we consider the following quasilinear Schrödinger system: −εΔu+u+k2ε[Δ∣u∣2]u=2αα+β∣u∣α−2u∣v∣β,x∈RN,−εΔv+v+k2ε[Δ∣v∣2]v=2βα+β∣u∣α∣v∣β−2v,x∈RN,\left\{\begin{array}{ll}-\varepsilon \Delta u+u+\frac{k}{2}\varepsilon \left[\Delta \hspace{-0 ...
Zhang Xue, Zhang Jing
doaj   +1 more source

Negative eigenvalues of two-dimensional Schrödinger operators [PDF]

arXiv, 2011
We prove a certain upper bound for the number of negative eigenvalues of the Schr\"{o}dinger operator on the plane.
arxiv  

A class of pseudo-differential operators with oscillating symbols [PDF]

arXiv, 1998
We study a class of pseudo-differential operators with oscillating symbols or osc illating amplitudes appearing in the long-range scattering theory. We develop the basic calc ulus for operators from such classes and solve some concrete problems posed by applications to scattering theory, especially to the scattering matrix. In particular, we show tha t
arxiv  

Semi-classical analysis of Schrodinger operators and compactness in the d-bar-Neumann problem [PDF]

arXiv, 2002
We study the asymptotic behavior, in a ``semi-classical limit'', of the first eigenvalues (i.e. the groundstate energies) of a class of Schr\"{o}dinger operators with magnetic fields and the relationship of this behavior with compactness in the $\bar\partial$-Neumann problem on Hartogs domains in $\C^2$
arxiv  

Schrödinger operators with magnetic fields and the canonical solution operator to d-bar [PDF]

arXiv, 2002
In this paper we characterize compactness of the canonical solution operator to d-bar on weighted L^2 spaces on C. For this purpose we consider certain Schr\"odinger operators with magnetic fields and use a condition which is equivalent to the property that these operators have compact resolvents.
arxiv  

Commutators associated with Schrödinger operators on the nilpotent Lie group. [PDF]

J Inequal Appl, 2017
Ni T, Liu Y.
europepmc   +1 more source

Aharonov and Bohm versus Welsh eigenvalues. [PDF]

Lett Math Phys, 2018
Exner P, Kondej S.
europepmc   +1 more source

Spectral shift functions and Dirichlet-to-Neumann maps. [PDF]

Math Ann, 2018
Behrndt J, Gesztesy F, Nakamura S.
europepmc   +1 more source