An Introduction to Integrable Techniques for One-Dimensional by Fabio Franchini

The totality of the eigenvalues of the Laplacian of a compact Riemannian manifold is named the spectrum. We describe how the spectrum determines a Riemannian manifold. The continuity of the eigenvalue of the Laplacian, Cheeger and Yau's estimate of the 1st eigenvalue, the Lichnerowicz–Obata's theorem at the first eigenvalue, the Cheng's estimates of the kth eigenvalues, and Payne–Pólya–Weinberger's inequality of the Dirichlet eigenvalue of the Laplacian also are defined.

Extra info for An Introduction to Integrable Techniques for One-Dimensional Quantum Systems (Lecture Notes in Physics)

Sample text

Download PDF sample

Rated 4.46 of 5 – based on 47 votes