Quantum Triangulations

Moduli Spaces, Strings, and Quantum Computing

Nonfiction, Science & Nature, Science, Physics, Mathematical Physics, General Physics
Cover of the book Quantum Triangulations by Mauro Carfora, Annalisa Marzuoli, Springer Berlin Heidelberg
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Mauro Carfora, Annalisa Marzuoli ISBN: 9783642244407
Publisher: Springer Berlin Heidelberg Publication: January 14, 2012
Imprint: Springer Language: English
Author: Mauro Carfora, Annalisa Marzuoli
ISBN: 9783642244407
Publisher: Springer Berlin Heidelberg
Publication: January 14, 2012
Imprint: Springer
Language: English

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.  *

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.  *

More books from Springer Berlin Heidelberg

Cover of the book Environmental Interactions of Clays by Mauro Carfora, Annalisa Marzuoli
Cover of the book Naturschutzrecht im Klimawandel by Mauro Carfora, Annalisa Marzuoli
Cover of the book Europarecht by Mauro Carfora, Annalisa Marzuoli
Cover of the book Bio-Geo Interactions in Metal-Contaminated Soils by Mauro Carfora, Annalisa Marzuoli
Cover of the book Aufgabensammlung Analysis 2, Funktionalanalysis und Differentialgleichungen by Mauro Carfora, Annalisa Marzuoli
Cover of the book Wunibald I. E. Kamm - Wegbereiter der modernen Kraftfahrtechnik by Mauro Carfora, Annalisa Marzuoli
Cover of the book Smart Collaborative Identifier Network by Mauro Carfora, Annalisa Marzuoli
Cover of the book Genetic Research in Psychiatry by Mauro Carfora, Annalisa Marzuoli
Cover of the book Managing Open Innovation Technologies by Mauro Carfora, Annalisa Marzuoli
Cover of the book Network Economics and the Allocation of Savings by Mauro Carfora, Annalisa Marzuoli
Cover of the book Electrochemistry of Insertion Materials for Hydrogen and Lithium by Mauro Carfora, Annalisa Marzuoli
Cover of the book Integrated Systems of Meso-Meteorological and Chemical Transport Models by Mauro Carfora, Annalisa Marzuoli
Cover of the book TYPIX Standardized Data and Crystal Chemical Characterization of Inorganic Structure Types by Mauro Carfora, Annalisa Marzuoli
Cover of the book Molecular Mechanisms in Legionella Pathogenesis by Mauro Carfora, Annalisa Marzuoli
Cover of the book Die Online-Redaktion by Mauro Carfora, Annalisa Marzuoli
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy