Geometry from Dynamics, Classical and Quantum - Image 1

£91.00

Springer Geometry from Dynamics, Classical and Quantum

Name: Geometry from Dynamics, Classical and Quantum
Brand: Springer
Price: 91.0 GBP
Availability: InStock

Reference

It has never been this cheap. We have no record of a lower price.

£91 today · cheaper than every other day in the last 3 months

NEW HERE?

Amazon shows you one price. We show you all of them.

Tosheroon watches Amazon prices so you don't have to. Every product on Amazon has a price history — we make it visible. Set the price you'd actually pay, and we'll email you the second it gets there. No app, no account, one email.

WHAT'S ON THIS PAGE

↓ Price chart
when this has been cheap or pricey

↓ Forecast
where the price is heading next

↓ Statistics
all-time high & low, recent range

↑ Price alert
name your number, we'll email you

Price History & Forecast

Grey patches = out of stock. Cheaper = lower on the chart. Hover for exact prices.

Last 76 days · 76 data points (no recent data)

Historical

Generating forecast…

Price Distribution

Price distribution over 76 days • 2 price levels

Days at Price

Current Price

Price Analysis

Most common price: £91 (56 days, 73.7%)

Price range: £91 - £101

Price levels: 2 different prices over 76 days

Description

This book describes, by using elementary techniques, how some geometrical structures widely used today in many areas of physics, like symplectic, Poisson, Lagrangian, Hermitian, etc., emerge from dynamics. It is assumed that what can be accessed in actual experiences when studying a given system is just its dynamical behavior that is described by using a family of variables ("observables" of the system). The book departs from the principle that ''dynamics is first'' and then tries to answer in what sense the sole dynamics determines the geometrical structures that have proved so useful to describe the dynamics in so many important instances. In this vein it is shown that most of the geometrical structures that are used in the standard presentations of classical dynamics (Jacobi, Poisson, symplectic, Hamiltonian, Lagrangian) are determined, though in general not uniquely, by the dynamics alone. The same program is accomplished for the geometrical structures relevant to describe quantum dynamics. Finally, it is shown that further properties that allow the explicit description of the dynamics of certain dynamical systems, like integrability and super integrability, are deeply related to the previous development and will be covered in the last part of the book. The mathematical framework used to present the previous program is kept to an elementary level throughout the text, indicating where more advanced notions will be needed to proceed further. A family of relevant examples is discussed at length and the necessary ideas from geometry are elaborated along the text. However no effort is made to present an ''all-inclusive'' introduction to differential geometry as many other books already exist on the market doing exactly that. However, the development of the previous program, considered as the posing and solution of a generalized inverse problem for geometry, leads to new ways of thinking and relating some of the most conspicuous geometrical structures appearing in Mathematical and Theoretical Physics.

Product Specifications

Brand: Springer
Format: hardcover
ASIN: 9401792194
Category: Books > Subjects > Reference
Domain: Amazon UK
Release Date: 08 October 2014
Listed Since: 20 May 2014

Barcode

No barcode data available

Springer Geometry from Dynamics, Classical and Quantum

It has never been this cheap. We have no record of a lower price.

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Quantum versus Classical Mechanics and Integrability Problems: towards a unification of approaches and tools

Twenty Years Of Bialowieza: A Mathematical Anthology: Aspects Of Differential Geometric Methods In Physics: 8 (World Scientific Monograph Series In Mathematics)

Geometric Formulation of Classical and Quantum Mechanics

Springer Geometry and its Applications: 72 Mathematics Book

Geometric Formulation of Classical and Quantum Mechanics

Geometry of Constrained Dynamical Systems: Proceedings of a Conference Held at the Isaac Newton Institute, Cambridge, June 1994: 3 (Publications of the Newton Institute, Series Number 3)

Geometric Methods in Physics XXXVII: Workshop and Summer School, Białowieża, Poland, 2018 (Trends in Mathematics)

Geometric Mechanics: Part I: Dynamics and Symmetry (2nd Edition)

Cambridge Symplectic Techniques in Physics - Math & Science Book

Global Analysis: Differential Forms in Analysis, Geometry and Physics (Graduate Studies in Mathematics)

Differential Geometry For Physicists: 6 (Advanced Series On Theoretical Physical Science)

Noncommutative Geometry and the Standard Model of Elementary Particle Physics: 596 (Lecture Notes in Physics, 596)

A Geometrical Approach to Physics

Differential Geometry and Mathematical Physics: Part I. Manifolds, Lie Groups and Hamiltonian Systems (Theoretical and Mathematical Physics)

Unstable Systems (Mathematical Physics Studies)

Nonlinear Dynamical Systems of Mathematical Physics: Spectral and Symplectic Integrability Analysis

Offbeat Integral Geometry on Symmetric Spaces

Dynamical Systems on 2- and 3-Manifolds: 46 (Developments in Mathematics, 46)

Cohomological Analysis of Partial Differential Equations and Secondary Calculus (Translations of Mathematical Monographs)

An Introduction to Symplectic Geometry (Graduate Studies in Mathematics)

Geometry from Dynamics, Classical and Quantum

Symplectic Geometry and Quantum Mechanics: 166 (Operator Theory: Advances and Applications, 166)

The Restricted Three-Body Problem and Holomorphic Curves (Pathways in Mathematics)

Differential Geometry and Mathematical Physics: Part I. Manifolds, Lie Groups and Hamiltonian Systems (Theoretical and Mathematical Physics)