Symplectic Quantum Field Theory
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| Title: | Symplectic Quantum Field Theory |
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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 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. |
| Authors: | Ademir E. Santana, Faqir C. Khanna, Alesandro F. Santos, Ronni G. Gomes Amorim, Sérgio C. Ulhoa, J. David. M. Vianna |
| Resource Type: | eBook. |
| Subjects: | Quantum field theory |
| Categories: | SCIENCE / Physics / Mathematical & Computational, SCIENCE / Physics / Quantum Theory |
| Database: | eBook Collection (EBSCOhost) |
| Abstract: | 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. |
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| ISBN: | 9781527556423 9781527556430 |
