1st Edition

Spectral Functions in Mathematics and Physics

By Klaus Kirsten Copyright 2001
400 Pages
by Chapman & Hall

396 Pages 16 B/W Illustrations
by Chapman & Hall

400 Pages
by Chapman & Hall

The literature on the spectral analysis of second order elliptic differential operators contains a great deal of information on the spectral functions for explicitly known spectra. The same is not true, however, for situations where the spectra are not explicitly known. Over the last several years, the author and his colleagues have developed new, innovative methods for the exact analysis of a... Read more
Introduction. A First Look at Zeta Functions and Heat Traces. Zeta Functions on Generalized Cones and Related Manifolds. Calculation of Heat Kernel Coeffcients via Special Cases. Heat Content Asymptotics. Functional Determinants. Casimir Energies. Ground State Energies under the Influence of External Fields. Bose-Einstein Condensation of Ideal Bose Gases under External Conditions. Conclusions. Appendices. References. Index.

Biography

Klaus Kirsten is a post-doctoral associate at the Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany.