Eigenvalues and eigenfunctions of double layer potentials

Eigenvalues and Eigenfunctions

The article describes the eigenvalue and eigenfunction problems. Basic properties, some applications and examples in system analysis are provided.

Properties of Sturm-Liouville Eigenfunctions and Eigenvalues

Eigenvalues and Eigenfunctions of the Laplacian

The problem of determining the eigenvalues and eigenvectors for linear operators acting on finite dimensional vector spaces is a problem known to every student of linear algebra. This problem has a wide range of applications and is one of the main tools for dealing with such linear operators. Some of the results concerning these eigenvalues and eigenvectors can be extended to infinite dimension...

Eigenvalues and eigenfunctions of a clover plate

We report a numerical study of the flexural modes of a plate using semi-classical analysis developed in the context of quantum systems. We first introduce the Clover billiard as a paradigm for a system inside which rays exhibit stable and chaotic trajectories. The resulting phase space explored by the ray trajectories is illustrated using the Poincare surface of section, and shows that it has b...

Calculation of Band Edge Eigenfunctions and Eigenvalues of Periodic Potentials through the Quantum Hamilton - Jacobi Formalism

X iv :q ua nt -p h/ 03 12 04 1v 1 4 D ec 2 00 3 Calculation of Band Edge Eigenfunctions and Eigenvalues of Periodic Potentials through the Quantum Hamilton Jacobi Formalism ∗ S. Sree Ranjani , A.K. Kapoor ‡ and P.K. Panigrahi § a School of Physics, University of Hyderabad, Hyderabad 500 046, India b Physical Research Laboratory Navrangpura, Ahmedabad, 380009, India Abstract We obtain the band e...