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OverviewFull Product DetailsAuthor: Walter DittrichPublisher: Springer Nature Switzerland AG Imprint: Springer Nature Switzerland AG Edition: 2nd ed. 2021 Weight: 0.454kg ISBN: 9783030610487ISBN 10: 3030610489 Pages: 107 Publication Date: 05 January 2021 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of ContentsPreface.- Towards Euler's Product Formula and Riemann’s Extension of the Zeta Function.- Prime Power Number Counting Function.- Riemann as an Expert in Fourier Transforms.- On the Way to Riemann’s Entire Function ζ(s).- The Product Representation of ξ(s) and ζ(s) by Riemann (1859).- Derivation of Von Mangoldt’s Formula for ψ(x).- The Number of Roots in the Critical Strip.- Riemann’s Zeta Function Regularization.- ζ-Function Regularization of the Partition Function of the Harmonic Oscillator.- ζ-Function Regularization of the Partition Function of the Fermi Oscillator.- The Zeta-Function in Quantum Electrodynamics (QED).- Summary of Euler-Riemann Formulae.- Appendix.ReviewsAuthor InformationProf. Dr. Walter Dittrich was head of the quantum electrodynamics group at the University of Tübingen before his retirement in 2001 and is still actively publishing papers and books in classical and quantum physics. He received his doctorate under Prof. Heinz Mitter at Heisenberg’s institute in Munich and continued pre- and postdoc work at Brown University, Harvard and MIT. He profited immensely from lectures by and discussions with Profs. Herb Fried, Ken Johnson, Steve Weinberg, Julian Schwinger and, later on, at the Institute for Advanced Study (IAS) in Princeton, Steve Adler and David Gross at Princeton University. He started his work on gauge theories and QED in collaboration with Schwinger in the late 1960s. He was visiting professor at UCLA, Berkeley, Stanford and the IAS. He has over 30 years of teaching experience and is one of the key scientists in developing the theoretical framework of quantum electrodynamics. Tab Content 6Author Website:Countries AvailableAll regions |
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