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Can I read Spectral Functions in Mathematics and Physics on EtoBox?
Spectral Functions in Mathematics and Physics by Klaus Kirsten is a nonfiction available to read on EtoBox.
What is Spectral Functions in Mathematics and Physics about?
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 variety of spectral functions occurring in spectral geometry and under external conditions in statistical mechanics and quantum field theory. Spectral Functions in Mathematics and Physics presents a detailed overview of these advances. The author develops and applies methods for analyzing determinants arising when the external conditions originate from the Casimir effect, dielectric media, scalar backgrounds, and magnetic backgrounds. The zeta function underlies all of these techniques, and the book begins by deriving its basic properties and relations to the spectral functions. The author then uses those relations to develop and apply methods for calculating heat kernel coefficients, functional determinants, and Casimir energies. He also explores applications in the non-relativistic context,
Who reads Spectral Functions in Mathematics and Physics?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- Klaus Kirsten
- Publisher
- Chapman and Hall/CRC
- Published
- 2001
- Language
- EN
- ISBN
- 9786610507504
- Category
- nonfiction
- Subjects
- Mathematics, Science, Physics