Spectral Functions in Mathematics and Physics
eBook - ePub

Spectral Functions in Mathematics and Physics

  1. 400 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Spectral Functions in Mathematics and Physics

About this book

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,

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Yes, you can access Spectral Functions in Mathematics and Physics by Klaus Kirsten in PDF and/or ePUB format, as well as other popular books in Mathematics & Geometry. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. Half Title
  3. Title Page
  4. Copyright Page
  5. Dedication Page
  6. Preface
  7. Conventions
  8. Table of Contents
  9. 1 Introduction
  10. 2 A first look at zeta functions and heat traces
  11. 3 Zeta functions on generalized cones and related manifolds
  12. 4 Calculation of heat kernel coefficients via special cases
  13. 5 Heat content asymptotics
  14. 6 Functional determinants
  15. 7 Casimir energies
  16. 8 Ground-state energies under the influence of external fields
  17. 9 Bose-Einstein condensation of ideal Bose gases under external conditions
  18. 10 Conclusions
  19. A Basic zeta functions
  20. B Conformai relations between geometric tensors
  21. C Application of index theorems
  22. D Representations for the asymptotic contributions
  23. E Perturbation theory for the logarithm of the Jost function
  24. References
  25. Index