Klaus Kirsten

Spectral Functions in Mathematics and Physics (eBook, PDF)

• Format: PDF

Produktbeschreibung

Over the last several years, the author and his colleagues have developed new methods for the exact analysis, including numerical evaluations, of different spectral functions that have significant applications in physics. This book provides a comprehensive description of these techniques and of their various applications. The approach allows for an exact treatment of zeta functions associated with the spectrum of a certain class of second order elliptic differential operators. Although much of the book is devoted to spectral analysis and spectral geometry, it also demonstrates some of the many ramifications spectral analysis and geometry has in physics, particularly to heat asymptotics, quantum field theory, statistical mechanics, the theory of partitions, and Bose-Einstein condensation.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 400
• Erscheinungstermin: 13. Dezember 2001
• Englisch
• ISBN-13: 9781420035469
• Artikelnr.: 53013328

Autorenporträt

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

Inhaltsangabe

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.