Lectures on Deformation Quantisation
Regular price
$149.37 USD
Regular price
$165.97 USD
Sale price
$149.37 USD
Unit price
per
You save $16.60 USD (10%)
In stock — Ships within 1–2 business days
Format
Print Book
Currently viewing
Hardcover
$149.37 USD
$165.97 USD
Secure CheckoutYour data is protected
Fast U.S. ShippingShips within 1–2 business days
Authentic Titles100% Genuine Books
Book Overview Principles of classical Hamiltonian mechanics say that the evolution of a dynamical system is determined by the Poisson bracket of observ...
Principles of classical Hamiltonian mechanics say that the evolution of a dynamical system is determined by the Poisson bracket of observable functions with the given Hamiltonian function of the system. In Quantum Mechanics, these principles are modified so that the algebra of observable functions should be replaced by a noncommutative algebra of operators and the Poisson bracket by their commutator so that the canonical commutation relations hold. Thus, working with quantum systems, we must determine the "quantisation" of our observables, i.e. to choose a noncommutative algebra whose elements would play the role of the observables. With some modifications, this question is the main content of the Deformation Quantisation problem formulated in 1978 by Flato and others.
This book is based on the course that the author taught in the Fall semester of 2019 at Peking University. The main purpose of that course and of this book is to acquaint the reader with the vast scope of ideas related to the Deformation Quantisation of Poisson manifolds. The book begins with Quantum Mechanics and Moyal product formula and covers the three main constructions that solve the Deformation Quantisation problem: Lecomte and de Wilde deformation of symplectic manifolds, Fedosov's Quantisation theory and Kontsevich's formality theorem. In the appendices, the Tamarkin's proof of formality theorem is outlined.
The book is written in a reader-friendly manner and is as self-contained as possible. It includes several sets of problems and exercises that will help the reader to master the material.
Book Details Format: Hardcover | Pages: 452 | Language: English | Publisher: WORLD SCIENTIFIC PUB CO INC | ISBN: 9811297800
FormatHardcover
Pages452
LanguageEnglish
ISBN9811297800
EAN9789811297809
PublisherWORLD SCIENTIFIC PUB CO INC
Publication Date2025-05-31
AccessoriesNo Accessory
ConditionNew
Product TypeHARD COVER BOOKS
Weight1.69 Pounds
Length9.0 Inches
Width6.0 Inches
Height1.0 Inches
Shipping & Returns Fast, reliable shipping and easy returns on eligible items.
Most orders ship within 1–2 business days with fast, reliable U.S. delivery.
Eligible items can be returned within 30 days in line with our store return policy.
Why shop with AlbakiReads
Fresh Inventory from Major Publishers
Sourced through trusted book distributors, with fresh titles added regularly.
Secure Checkout
Your payment information is encrypted and protected every step of the way.
Fast U.S. Shipping
Most orders ship within 1–2 business days.
Books for Every Kind of Reader
From page-turners to timeless classics—find your next favorite read.
