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搜索结果: 1-9 共查到知识库 dinger Operator相关记录9条 . 查询时间(0.046 秒)
We consider the Schr\"odinger operator $H = -\Delta + V$ in a layer or in a $d$-dimensional cylinder. The potential $V$ is assumed to be periodic with respect to some lattice. We establish the absolu...
We say that a discrete set $X =\{x_n\}_{n\in\dN_0}$ on the half-line $$0=x_0 < x_1 infty$$ is sparse in the case the distances $\Delta x_n = x_{n+1} -x_n$ between neighboring p...
We prove that for any fixed trigonometric polynomial potential satisfying a genericity condition, the spectrum of the two dimension periodic Schr¨odinger operator has finite multiplicity and the Fouri...
We develop potential theory of Schrdinger operators based on fractional Laplacian on Euclidean spaces of arbitrary dimension. We focus on questions related to gaugeability and existence of q-harmon...
Lower Bounds for the Infimum of the Spectrum of the Schrödinger Operator in $\mathbb{R}^n$ and the Sobolev Inequalities.
2005Vol.44No.2pp.252-254DOI: “Eigen-Operator”Method of the Square of Schrödinger Operator in Interaction Picture and Its Application in Describing Parametric Amplifiers FAN...
2004Vol.42No.6pp.824-826DOI: Determining Energy Eigenvalues of Dynamic Systems by Finding `Eigen-operator' of Square of Schrödinger Operator FAN Hong-Yi,1,2 XU Xue-Fen,3 an...
In this paper, we consider the Schrödinger operators defined by the differential expression Lu= - D u + q(x)u in d-dimensional paralellepiped F, with the Dirichlet and the Neumann boundary condit...

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