Geometric And Algebraic Topological Methods In Quantum Mechanics

Geometric And Algebraic Topological Methods In Quantum Mechanics
Author :
Publisher : World Scientific
Total Pages : 715
Release :
ISBN-10 : 9789814481144
ISBN-13 : 9814481149
Rating : 4/5 (44 Downloads)

Book Synopsis Geometric And Algebraic Topological Methods In Quantum Mechanics by : Luigi Mangiarotti

Download or read book Geometric And Algebraic Topological Methods In Quantum Mechanics written by Luigi Mangiarotti and published by World Scientific. This book was released on 2005-01-27 with total page 715 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last decade, the development of new ideas in quantum theory, including geometric and deformation quantization, the non-Abelian Berry's geometric factor, super- and BRST symmetries, non-commutativity, has called into play the geometric techniques based on the deep interplay between algebra, differential geometry and topology. The book aims at being a guide to advanced differential geometric and topological methods in quantum mechanics. Their main peculiarity lies in the fact that geometry in quantum theory speaks mainly the algebraic language of rings, modules, sheaves and categories. Geometry is by no means the primary scope of the book, but it underlies many ideas in modern quantum physics and provides the most advanced schemes of quantization.


Geometric And Algebraic Topological Methods In Quantum Mechanics Related Books

Geometric And Algebraic Topological Methods In Quantum Mechanics
Language: en
Pages: 715
Authors: Luigi Mangiarotti
Categories: Science
Type: BOOK - Published: 2005-01-27 - Publisher: World Scientific

DOWNLOAD EBOOK

In the last decade, the development of new ideas in quantum theory, including geometric and deformation quantization, the non-Abelian Berry's geometric factor,
Geometric and Algebraic Topological Methods in Quantum Mechanics
Language: en
Pages: 716
Authors: G. Giachetta
Categories: Science
Type: BOOK - Published: 2005 - Publisher: World Scientific

DOWNLOAD EBOOK

- The book collects all the advanced methods of quantization in the last decade. - It presents in a compact way all the necessary up to date mathematical tools
Geometric and Topological Methods for Quantum Field Theory
Language: en
Pages: 272
Authors: Sylvie Paycha
Categories: Mathematics
Type: BOOK - Published: 2007 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

This volume, based on lectures and short communications at a summer school in Villa de Leyva, Colombia (July 2005), offers an introduction to some recent develo
Geometric Formulation of Classical and Quantum Mechanics
Language: en
Pages: 405
Authors: G. Giachetta
Categories: Science
Type: BOOK - Published: 2011 - Publisher: World Scientific

DOWNLOAD EBOOK

The geometric formulation of autonomous Hamiltonian mechanics in the terms of symplectic and Poisson manifolds is generally accepted. This book provides the geo
Smooth Manifolds and Observables
Language: en
Pages: 441
Authors: Jet Nestruev
Categories: Mathematics
Type: BOOK - Published: 2020-09-10 - Publisher: Springer Nature

DOWNLOAD EBOOK

This book gives an introduction to fiber spaces and differential operators on smooth manifolds. Over the last 20 years, the authors developed an algebraic appro