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出版Cambridge Scholars Publishing, 2023-12-21
主題Science / Physics / GeneralScience / Physics / Quantum TheoryScience / Physics / Mathematical & Computational
ISBN15275564339781527556430
URLhttp://books.google.com.hk/books?id=b2LvEAAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋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 Schrödinger, 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.