Descripción del título
Quantum Triangulations [Mod...
Research on polyhedral manifolds often points to unexpected connections between very distinct aspects of Mathematics and Physics. In particular triangulated manifolds play quite a distinguished role in such settings as Riemann moduli space theory, strings and quantum gravity, topological quantum field theory, condensed matter physics, and critical phenomena. Not only do they provide a natural discrete analogue to the smooth manifolds on which physical theories are typically formulated, but their appearance is rather often a consequence of an underlying structure which naturally calls into play non-trivial aspects of representation theory, of complex analysis and topology in a way which makes manifest the basic geometric structures of the physical interactions involved. Yet, in most of the existing literature, triangulated manifolds are still merely viewed as a convenient discretization of a given physical theory to make it more amenable for numerical treatment. The motivation for these lectures notes is thus to provide an approachable introduction to this topic, emphasizing the conceptual aspects, and probing, through a set of cases studies, the connection between triangulated manifolds and quantum physics to the deepest.This volume addresses applied mathematicians and theoretical physicists working in the field of quantum geometry and its applications
Monografía
monografia Rebiun12852192 https://catalogo.rebiun.org/rebiun/record/Rebiun12852192 120113s2012 gw | s |||| 0|eng d 9783642244407 978-3-642-24440-7 9783642244391 ed. impresa) UMA.RE Carfora, Mauro Quantum Triangulations Recurso electrónico] Moduli Spaces, Strings, and Quantum Computing by Mauro Carfora, Annalisa Marzuoli Servicio en línea Berlin, Heidelberg Springer Berlin Heidelberg 2012 Berlin, Heidelberg Berlin, Heidelberg Springer Berlin Heidelberg XVII, 284p. 90 illus., 10 illus. in color. digital XVII, 284p. 90 illus., 10 illus. in color. Lecture Notes in Physics 0075-8450 845 Triangulated Surfaces and Polyhedral Structures -- Singular Euclidean Structures an Riemann Surfaces -- Polyhedral Surfaces and the Weil-Petersson Form -- The Quantum Geometry of Polyhedral Surfaces -- State Sum Models and Observables -- Combinatorial Framework for Topological Quantum Computing -- A Capsule of Moduli Space Theory -- Spectral Theory on Polyhedral Surfaces -- Index Acceso restringido a miembros del Consorcio de Bibliotecas Universitarias de Andalucía Research on polyhedral manifolds often points to unexpected connections between very distinct aspects of Mathematics and Physics. In particular triangulated manifolds play quite a distinguished role in such settings as Riemann moduli space theory, strings and quantum gravity, topological quantum field theory, condensed matter physics, and critical phenomena. Not only do they provide a natural discrete analogue to the smooth manifolds on which physical theories are typically formulated, but their appearance is rather often a consequence of an underlying structure which naturally calls into play non-trivial aspects of representation theory, of complex analysis and topology in a way which makes manifest the basic geometric structures of the physical interactions involved. Yet, in most of the existing literature, triangulated manifolds are still merely viewed as a convenient discretization of a given physical theory to make it more amenable for numerical treatment. The motivation for these lectures notes is thus to provide an approachable introduction to this topic, emphasizing the conceptual aspects, and probing, through a set of cases studies, the connection between triangulated manifolds and quantum physics to the deepest.This volume addresses applied mathematicians and theoretical physicists working in the field of quantum geometry and its applications Modo de acceso: World Wide Web Springer (Phys) Physics Cell aggregation- Mathematics Quantum theory Physics Physics, general Mathematical Physics Quantum Physics Manifolds and Cell Complexes (incl. Diff.Topology) Classical and Quantum Gravitation, Relativity Theory Mathematical Applications in the Physical Sciences Marzuoli, Annalisa SpringerLink (Online service) SpringerLink eBooks (Servicio en línea) Lecture Notes in Physics (Servicio en línea) Springer eBooks Springer eBooks