Dispersion estimates for one-dimensional discrete Schrödinger and wave equations
نویسندگان
چکیده
منابع مشابه
Dispersion Estimates for One-dimensional Discrete Schrödinger and Wave Equations
We derive dispersion estimates for solutions of the one-dimensional discrete perturbed Schrödinger and wave equations. In particular, we improve upon previous works and weaken the conditions on the potentials. To this end we also provide new results concerning scattering for one-dimensional discrete perturbed Schrödinger operators which are of independent interest. Most notably we show that the...
متن کاملDispersion Estimates for One-dimensional Discrete Dirac Equations
We derive dispersion estimates for solutions of the one-dimensional discrete perturbed Dirac equation. To this end, we develop basic scattering theory and establish a limiting absorption principle for discrete perturbed Dirac operators.
متن کاملDispersion Estimates for One-dimensional Schrödinger Equations with Singular Potentials
We derive a dispersion estimate for one-dimensional perturbed radial Schrödinger operators. We also derive several new estimates for solutions of the underlying differential equation and investigate the behavior of the Jost function near the edge of the continuous spectrum.
متن کاملDispersion Estimates for Discrete Schrödinger and Klein–gordon Equations
The long-time asymptotics is derived for solutions of the discrete 3dimensional Schrödinger and Klein–Gordon equations. §
متن کاملNumerical solution for one-dimensional independent of time Schrödinger Equation
In this paper, one of the numerical solution method of one- particle, one dimensional timeindependentSchrodinger equation are presented that allows one to obtain accurate bound state eigenvalues and functions for an arbitrary potential energy function V(x).For each case, we draw eigen functions versus the related reduced variable for the correspondingenergies. The paper ended with a comparison ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Spectral Theory
سال: 2015
ISSN: 1664-039X
DOI: 10.4171/jst/110