Canonical quantization of Proca field in Schwarzschild background with Dirac brackets, Hawking spectrum from Unruh vacuum, and numerical evaluation of condensate in three vacua.
Lectures on Constrained Systems
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abstract
These lecture notes were prepared as a basic introduction to the theory of constrained systems which is how the fundamental forces of nature appear in their Hamiltonian formulation. Only a working knowledge of Lagrangian and Hamiltonian formulation of mechanics is assumed. These notes are based on the set of eight lectures given at the {\em Refresher Course for College Teachers} held at IMSc during May-June, 2005. These are submitted to the arxiv for an easy access to a wider body of students.
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Canonical quantization of massive vector field in Schwarzschild black hole background
Canonical quantization of Proca field in Schwarzschild background with Dirac brackets, Hawking spectrum from Unruh vacuum, and numerical evaluation of condensate in three vacua.