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Quantum Physics, Relativity, and Complex Spacetime: Towards a New Synthesis

Author: Gerald Kaiser
Url: http://www.wavelets.com/pdf/90NH.pdf
Format: Pdf
Year: 2003
Category: Quantum Gravity, Quantum Field Theory
Pages: 252
Clicks: 1630

The contents of the book are as follows. In chapter 1 the simplest examples of coherent states and time–frequency localization are introduced, including the original “canonical” coherent states, windowed Fourier transforms and wavelet transforms.In chapter 2 a new, algebraic approach to orthonormal bases of wavelets is formulated. In chapter 3 the concept of generalized coherent states based on Lie groups and their homogeneous spaces is reviewed. In chapter 4, the interactions between phase space, quantum mechanics and Relativity are studied. In chapter 5, the formalism is extended to quantized fields. In chapter 6 we give a brief account of some ongoing work, beginning with a review of the idea of holomorphic gauge theory.

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