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Asymptotic behaviour and numerical approximation of optimal eigenvalues of the Robin Laplacian
Robin Laplacian Eigenvalues Optimisation
2012/4/18
We consider the problem of minimising the $n^{th}-$eigenvalue of the Robin Laplacian in $\mathbb{R}^{N}$. Although for $n=1,2$ and a positive boundary parameter $\alpha$ it is known that the minimiser...
On the resonances and eigenvalues for a 1D half-crystal with localised impurity
resonances scattering periodic potential S-matrix
2011/9/6
Abstract: We consider the Schr\"odinger operator $H$ on the half-line with a periodic potential $p$ plus a compactly supported potential $q$. For generic $p$, its essential spectrum has an infinite se...
The uniqueness in the inverse problem for transmission eigenvalues for the spherically-symmetric variable-speed wave equation
transmission eigenvalues inverse spectral problem variable-speed wave equation
2011/7/26
The uniqueness in the inverse problem for transmission eigenvalues for the spherically-symmetric variable-speed wave equation.
Marching toward the eigenvalues: The Canonical Function Method and the Schrödinger equation
Schrö dinger equation Canonical Function Method
2010/3/10
The Canonical Function Method (CFM) is a powerful accurate and fast method that solves the Schr\"{o}dinger equation for the eigenvalues directly without having to evaluate the eigenfunctions. Its vers...
We recently performed a series of improvement on evaluation of eigenvalues without complicated iterations. In this work we firstdiscuss evaluation of the lowest eigenvalue for given systems, by which ...
Determining Energy Eigenvalues of Dynamic Systems by Finding
`Eigen-operator' of Square of
Schrödinger Operator
Schrö dinger operator Heisenberg equation of motion energy gap
2007/8/15
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...
Eigenvalues, Peres' Separability Condition, and
Entanglement
density matrix eigenvalues separability entanglement
2007/8/15
2004Vol.42No.2pp.206-210DOI:
Eigenvalues, Peres' Separability Condition, and
Entanglement
WANG An-Min
Institute for Theoretical Physics, Department of Modern
Physics, Un...