搜索结果: 1-11 共查到“理学 dinger operators”相关记录11条 . 查询时间(0.062 秒)
Symmetry preserving self-adjoint extensions of Schrödinger operators with singular potentials
Symmetry preserving self-adjoint extensions Schrö dinger operators singular potentials
2011/1/21
We develop a general technique for finding self-adjoint extensions of a symmetric operator that respect a given set of its symmetries. Prob-lems of this type naturally arise when considering two- and ...
Rescaled Mourre's commutator theory, application to Schrödinger operators with oscillating potential
Mourre’s commutator theory Mourre estimate limiting absorption principle
2011/1/18
We present a variant of Mourre’s commutator theory. We apply it to prove the limiting absorption principle for Schr¨odinger operators with a perturbedWigner-Von Neumann potential at suitable energies....
On the finiteness of the Morse Index for Schrödinger operators
the Morse Index Schrö dinger operators
2010/11/19
Let H=$\Delta +V$ be a Schr\"odinger on a complete non-compact manifold. It is known since the work of Fischer-Colbrie and Schoen that the finiteness of the negative spectrum of $H$ implies the exist...
Spectral statistics for random Schrödinger operators in the localized regime
Spectral statistics random Schrö dinger operators the localized regime
2010/11/15
We study various statistics related to the eigenvalues and eigenfunctions of random Hamiltonians in the localized regime. Consider a random Hamiltonian at an energy $E$ in the localized phase. Assume ...
Exactly solvable 1-dimensional Schr¨odinger equations play an important role in quantum physics. The best known are the harmonic oscillator and the radial equation for the hydrogen atom, which are cov...
We systematically describe and classify 1-dimensional Schr¨odinger equations that can be solved in terms of hypergeometric type functions. Beside the well-known families, we explicitly describe 2 new ...
A variational approach to dislocation problems for periodic Schrödinger operators
Schr¨odinger operators eigenvalues spectral gaps
2010/12/8
As a simple model for lattice defects like grain boundaries in solid state physics we consider potentials which are obtained from a periodic potential V = V (x, y) on R2 with period lattice Z2 by sett...
Defect Modes and Homogenization of Periodic Schrödinger Operators
Defect Modes Homogenization of Periodic Schrö dinger Operators
2010/11/30
Defect Modes and Homogenization of Periodic Schrödinger Operators.
On the spectrum of skew-shift Schrödinger operators
spectrum ergodic Schrodinger operators skew-shift
2010/11/30
I prove that the spectrum of a skew-shift Schrodinger operator contains larges interval in the semi-classical regime. In the semi-classical limit,these intervals approach the range of the potential.
On geometric perturbations of critical Schrödinger operators with a surface interaction
geometric perturbations critical Schrö dinger operators surface interaction
2010/4/13
We study singular Schrodinger operators with an attractive interaction supported by a closed smooth surface A in R^3 and analyze their behavior in the vicinity of the critical situation where such an ...
Comparison of Green Functions for Generalized Schrödinger Operators on $C^{1,1}$-Domains
Green function Schrö dinger operator $3G$-Theorem
2008/7/1
Comparison of Green Functions for Generalized Schrödinger Operators on $C^{1,1}$-Domains.