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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...
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...