Over the last several years, the author and his colleagues have developed new methods for the exact analysis of different spectral functions that are significant in physics. This book provides a comprehensive description of these techniques and their various applications. The author's approach allows for an exact treatment of zeta functions associa
Over the last several years, the author and his colleagues have developed new methods for the exact analysis of different spectral functions that are significant in physics. This book provides a comprehensive description of these techniques and their various applications. The author's approach allows for an exact treatment of zeta functions associa
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.
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.
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