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None Symplectic Quantum Field Theory, PDF eBook

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Description

The present monograph brings to readers, as researchers and students of physics and mathematics, recent developments in symmetries, where the representation space is a symplectic manifold.

This gives rise to the quantum field theory formulated in through the concept of phase space and associated with the Wigner function, a quasi-distribution of probability.

This approach provides information about non-classicality of quantum systems, describes quantum chaos and is the starting point of the quantum kinetic theory.

In this realm, abelian and non-abelian gauge symmetries are introduced with the concept of quasi-amplitude of probability.

This leads, for instance, to Symplectic Schroedinger, Klein-Gordon and Dirac equations dealing with systems in condensed matter and particle physics.

These achievements are depicted here, following a pedagogical model of presentation.

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