Spectral Functions in Mathematics and Physics: 1st Edition (e-Book) book cover

Spectral Functions in Mathematics and Physics

1st Edition

By Klaus Kirsten

Chapman and Hall/CRC

400 pages

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Hardback: 9781584882596
pub: 2001-12-13
eBook (VitalSource) : 9780429128615
pub: 2001-12-13
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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,

Table of Contents

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.

Subject Categories

BISAC Subject Codes/Headings:
MATHEMATICS / Geometry / General
SCIENCE / Mathematical Physics
SCIENCE / Physics