Hamiltonian Mechanics of Gauge Systems (Cambridge Monographs by Lev V. Prokhorov,Sergei V. Shabanov

By Lev V. Prokhorov,Sergei V. Shabanov

the rules of gauge symmetry and quantization are basic to trendy figuring out of the legislation of electromagnetism, susceptible and powerful subatomic forces and the speculation of normal relativity. excellent for graduate scholars and researchers in theoretical and mathematical physics, this certain ebook offers a scientific creation to Hamiltonian mechanics of platforms with gauge symmetry. The ebook finds how gauge symmetry could lead on to a non-trivial geometry of the actual part house and reviews its impact on quantum dynamics via course quintessential equipment. It additionally covers points of Hamiltonian course imperative formalism intimately, besides a couple of similar subject matters equivalent to the speculation of canonical differences on section house supermanifolds, non-commutativity of canonical quantization and removing of non-physical variables. The dialogue is followed through quite a few particular examples of dynamical versions with gauge symmetries, in actual fact illustrating the main concepts.

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