搜索结果: 1-14 共查到“理学 Schrodinger operators”相关记录14条 . 查询时间(0.065 秒)
Localization for quasi-periodic Schrodinger operators with dynamics defined by the skew-shift and potential in a Gevrey-class
Mathematical Physics Spectral Theory dynamics quasi-periodic Schrodinger operators
2012/4/16
We consider the discrete one-dimensional Schr\"{o}dinger operator with quasi-periodic potential $v_n := \lambda v (\shift^n \, \xx)$, where $\shift : \T^2 \rightarrow \T^2, \, \shift \xx := (x_1+x_2, ...
On Self-Adjointness Of 1-D Schrodinger Operators With $δ$-Interactions
Schrodinger operator local point interaction self-adjoint operator deficiency indices Jacobi matrices
2012/4/23
In the present work we consider in $L^2(\mathbb{R}_+)$ the Schr\"odinger operator $\mathrm{H_{X,\alpha}}=-\mathrm{\frac{d^2}{dx^2}}+\sum_{n=1}^{\infty}\alpha_n\delta(x-x_n)$. We investigate and comple...
On the Lyapounov exponents of Schrodinger operators associated with the standard map
Lyapounov exponents Schrodinger operators associated standard map
2012/3/1
It is shown that Schrodinger operators defined from the standard map have positive (mean) Lyapounov exponents for almost all energies.
Asymptotics of spectral quantities of Schrodinger operators
Asymptotics spectral quantities Schrodinger operators
2011/9/19
Abstract: In this paper we provide new asymptotic estimates of the Floquet exponents of Schr\"odinger operators on the circle. By the same techniques, known asymptotic estimates of various others spec...
Discrete Schrodinger operators with random alloy-type potential
multiscale analysis fractional moment method Cartan’s Theorem localization discrete alloy-type model non-monotone
2011/9/6
Abstract: We review recent results on localization for discrete alloy-type models based on the multiscale analysis and the fractional moment method, respectively. The discrete alloy-type model is a fa...
A Short Course on One-Dimensional Random Schrodinger Operators
One-Dimensional Random Schrodinger Operators Spectral Theory Mathematical Physics
2011/8/26
Abstract: We discuss various approaches to localization results for one-dimensional random Schr\"odinger operators, both discrete and continuum. We focus in particular on the approach based on F\"urst...
Resonant uniqueness of radial semiclassical Schrodinger operators
inverse scattering theory trace invariants semiclassical Schrodinger operators
2011/8/25
Abstract: We prove that radial, monotonic, superexponentially decaying potentials in R^n, n greater than or equal to 1 odd, are determined by the resonances of the associated semiclassical Schrodinger...
Absolutely continuous spectrum of a one-paramentric family of Schrodinger operators
one-paramentric family Schrodinger operators Spectral Theory
2011/7/27
Abstract: We consider a family of operators $-\Delta+ t V$ with a slowly decaying and oscillating potential $V$. We prove that the absolutely continuous spectrum of this operator is essentially suppor...
Ballistic Behavior for Random Schrodinger Operators on the Bethe Strip
Random Schrodinger operators Anderson model spreading of wave packets ballistic behavior Bethe strip
2011/7/26
Ballistic Behavior for Random Schrodinger Operators on the Bethe Strip.
Ito diffusions, modified capacity and harmonic measure. Applications to Schrodinger operators
Absolutely continuous spectrum Schr¨odinger operator
2011/2/22
We observe that some special Itˆo diffusions are related to scattering properties of a Schr¨odinger operator on Rd, d 2. We introduce Feynman-Kac type formulae for these stochastic processes wh...
Schrodinger operators and the distribution of resonances in sectors
Schrodinger operators distribution of resonances
2011/2/22
The purpose of this paper is to give some refined results about the distribution of resonances in potential scattering. We use techniques and results from one and several complex variables, including ...
Square functions associated to Schrodinger operators
Schr¨odinger operator reverse H¨older class Littlewood-Paley square function
2010/12/14
We characterize geometric properties of Banach spaces in terms of boundedness of square functions associated to general Schr¨odinger operators of the form L = − + V , where the
nonnegative pot...
New Reductions and Nonlinear Systems for 2D Schrodinger Operators
Nonlinear Systems Dubrovin, I.Krichever, S.Novikov 2D Schrodinger Operators
2010/4/1
New Completely Integrable (2+1)-System is studied. It is based on the so-called L-A-B-triples $L_t=[H,L]-fL$ where L is a 2D Schrodinger Operator. This approach was invented by S.Manakov and B.Dubrovi...
Notes on Neumann Problem for Schrodinger Operators in Weighted Lipschitz Domains
Schrodinger equation Neumann problem weighted Lipschitz domains
2012/9/27
Let Ω be a bounded Lipschitz domain in ,nRn≥3 . Let 0()QQQααω =|− |, where 0Q is a fixed point on Ω∂ . For Schrödinger equation 0 uVu −Δ+ = in Ω , with singular non-neg...