7 edition of **Mathematical Quantization** found in the catalog.

- 392 Want to read
- 23 Currently reading

Published
**May 31, 2001** by Chapman & Hall/CRC .

Written in English

- Algebra,
- Functional Analysis,
- Science/Mathematics,
- Theory Of Operators,
- Mathematics,
- Algebra - Linear,
- Applied,
- Mathematics / Advanced,
- Mathematical Analysis,
- Geometric quantization

The Physical Object | |
---|---|

Format | Hardcover |

Number of Pages | 296 |

ID Numbers | |

Open Library | OL8795143M |

ISBN 10 | 1584880015 |

ISBN 10 | 9781584880011 |

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With a unique approach and presenting an array of new and intriguing topics, Mathematical Quantization offers a survey of operator algebras and related structures from the point of view that these objects are quantizations of classical mathematical structures.

Book Description. With a unique approach and presenting an array of new and intriguing topics, Mathematical Quantization offers a survey of operator algebras and related structures from the point of view that these objects are quantizations of classical mathematical structures.

Product details Series: Cambridge Monographs on Mathematical Physics Hardcover: pages Publisher: Cambridge University Press; 1 edition (Ap ) Language: English ISBN ISBN Product Dimensions: x x inches Shipping Weight: pounds (View Cited by: Product details Series: Mathematical Physics Studies Hardcover: pages Publisher: Springer; 1st ed.

edition (November 6, ) Language: English ISBN ISBN Product Dimensions: x x inches Shipping Weight:. Summary: Presenting an array of new topics, "Mathematical Quantization" explores operator algebras.

For graduate students, this text offers an introduction to a large area of active research, and for professionals in operating algebras and functional analysis, it provides a tour of the field.

Mathematics of Quantization and Quantum Fields Jan Dereziński and Christian Gérard Unifying a range of topics that are currently scattered throughout the literature, this book offers a unique and definitive review of mathematical aspects of quantization and quantum field theory.

: Mathematical Aspects of Quantization: Center for Mathematics at Notre Dame Summer School and Conference May j Notre Dame Univerisity, Notre Dame, Indiana (Contemporary Mathematics) (): Sam Evens, Michael Gekhtman, Brian C.

Hall, Xiaobo Liu, Claudia Polini: Books. The geometric approach to quantization was introduced by Konstant and Souriau more than 20 years ago. It has given valuable and lasting insights into the relationship between classical and quantum systems, and continues to be a popular research by: A Course in Arithmetic (Graduate Texts in Mathematics) A Fishkeeper's Guide to Aquarium Plants: A Superbly Illustrated Guide to Growing Healthy Aquarium Plants, Featuring over 60 Species A History of Algebraic and Differential Topology, - The only reference I know is The Method of second quantization by F.

Berezin. So far, I've just skimmed the book and it seems incredibly well-written, but it is obviously an old book and I feel it is not very modern concerning its mathematics: I'd be happier to find a more technical exposition, using modern functional analysis. Mathematical Quantization (Studies in Advanced Mathematics series) by Nik Weaver.

With a unique approach and presenting an array of new and intriguing topics, Mathematical Quantization offers a survey of operator algebras and related structures from the point of view that these objects are quantizations of classical mathematical structures.

geometric quantization of being positive (in the sense that (Φ,QB(f)Φ) ≥ 0 for all Φ whenever f ≥ 0) and bounded (i.e.

QB(f) is a bounded operator if f is a bounded function on M). Quantization theory remains a very active area of research in physics and mathematics [12]. Tillfälligt slut With a unique approach and presenting an array of new and intriguing topics, Mathematical Quantization offers a survey of operator algebras and related structures from the point of view that these objects are quantizations of classical mathematical structures.

With a unique approach and presenting an array of new and intriguing topics, Mathematical Quantization offers a survey of operator algebras and related structures from the point /5(2).

This book is a collection of expository articles from the Center of Mathematics at Notre Dame's program on quantization. Mathematics of Quantization and Quantum Fields is a very useful book for mathematicians, if only because of the absence of the physicists’ black magic of inferring mathematical things from experiments and then “proving” their mathematical assertions and prognostications by means of more experimental evidence — and then there is the.

For graduate students, Mathematical Quantization offers an ideal introduction to a research area of great current interest. For professionals in operator algebras and functional analysis, it provides a readable tour of the current state of the field. Mathematical Quantization By Nik Weaver Bibliography Sales Rank: # in Books.

Mathematical Reviews “Many topics had not or had inadequately been treated in the literature so far, so that this book is the first satisfactory discussion of lasers and phase operators from the point of view of quantization theory this excellent book can be strongly recommended to those interested in the application of abstract.

This book presents four survey articles on different topics in mathematical analysis that are closely linked to concepts and applications in physics. Specifically, it discusses global aspects of elliptic PDEs, Berezin-Toeplitz quantization, the stability of solitary waves, and sub-Riemannian.

Unifying a range of topics that are currently scattered throughout the literature, this book offers a unique and definitive review of mathematical aspects of quantization and quantum field theory.

The authors present both basic and more advanced topics of quantum field theory in a mathematically consistent way, focusing on canonical commutation Brand: Cambridge University Press.

Open Math Notes. Open Math Notes is a repository of freely downloadable mathematical works in progress--including course notes, textbooks, and research expositions--provided as a service to researchers, teachers and students.

Learn More. Quantization is a common source of noise in digital control systems. Quantization is the undesirable process of limiting resolution of a continuous signal. For example, a bit analog-to-digital converter (ADC) allows only 2 12 () discrete values to represent a voltage.

Even though the voltage input to the ADC almost always falls between. This monograph presents various ongoing approaches to the vast topic of quantization, which is the process of forming a quantum mechanical system starting from a classical one, and discusses their numerous fruitful interactions with opening chapter introduces the various forms of quantization and their interactions with each other and with mathematics.A first approach to.

Get this from a library. Mathematics of quantization and quantum fields. [Jan Dereziński; Christian Gérard] -- "Unifying a range of topics that are currently scattered throughout the literature, this book offers a unique and definitive review of mathematical aspects of quantization. Book Search tips Selecting this option will search all publications across the Scitation platform Selecting this option will search all publications for the Publisher/Society in context.

Tuynman, “ Generalized Bergman kernels and geometric quantization,” J. Math. Phys. 28, (). For graduate students, Mathematical Quantization offers an ideal introduction to a research area of great current interest.

For professionals in operator algebras and functional analysis, it provides a readable tour of the current state of the field. the operator algebra setting.

The first part of this book gives a detailed, self-contained and mathematically rigorous exposition of classical conformal symmetry in n dimensions and its quantization in two dimensions. In particular, the conformal groups are determined and the appearance of the Virasoro algebra in the context of.

The opening chapter introduces the various forms of quantization and their interactions with each other and with mathematics.

A first approach to quantization, called deformation quantization, consists of viewing the Planck constant as a small parameter. CHAPTER 14 REVIEW OF QUANTIZATION Nonlinear tone-transfer curve of quantizer, showing a linear region.

Quantization Quantization converts continuously valued measured irradiance at a sample to a mem-ber of a discrete set of gray levels or digital counts, e.g.,the sample f[x,y] e.g., f[0,0] = W. MATHEMATICS OF QUANTIZATION AND QUANTUM FIELDS Unifying a range of topics that are currently scattered throughout the literature, this book oﬀers a unique and deﬁnitive review of some of the basic mathemati-cal aspects of quantization and quantum ﬁeld theory.

The authors present both. The first complete mathematical formulation of this approach, known as the Dirac–von Neumann axioms, is generally credited to John von Neumann 's book Mathematical Foundations of Quantum Mechanics, although Hermann Weyl had already referred to Hilbert spaces (which he called unitary spaces) in his classic paper and book.

In recent decades, quantization has led to interesting applications in various mathematical branches. This volume, comprised of research and survey articles, discusses key topics, including symplectic and algebraic geometry, representation theory, quantum groups, the geometric Langlands program, quantum ergodicity, and non-commutative geometry.

In this chapter, we present some of the mathematical background necessary for understanding and appreciating lossy compression schemes. In lossless compression schemes, rate is the general concern.

context based compression, and scalar and vector quantization. The book provides a comprehensive working knowledge of data compression, giving. Klaas Landsman, Mathematical topics between classical and quantum mechanics, Springer Monographs in Mathematics xx+ pp. Sean Bates, Alan Weinstein, Lectures on the geometry of quantization, pdf.

Cannas da Silva, A. Weinstein, Geometric models for noncommutative algebras,pdf. Quantization Heuristics. Position And Momentum. Introducing Weyl Quantization. Terminology. The Wigner Transform Method. Boundedness Of Δ[p,q] The Wigner Transform. Some Useful Identities Involving.

Classes Of Bounded Observables. Finite-Rank Operators. Compact Operators. Trace Class Operators. Hilbert-Schmidt Operators. Bounded Operators. Home» MAA Publications» MAA Reviews» Mathematical Aspects of Quantization Mathematical Aspects of Quantization Sam Evens, Michael Gekhtman, Brian C.

In mathematical physics, geometric quantization is a mathematical approach to defining a quantum theory corresponding to a given classical theory. It attempts to carry out quantization, for which there is in general no exact recipe, in such a way that certain analogies between the classical theory and the quantum theory remain manifest.

Canonical quantization then can be carried out for the shifted field φ(x,t)−v, and particle states with respect to the shifted vacuum are defined by quantizing the shifted field. This construction is utilized in the Higgs mechanism in the standard model of particle physics.

Mathematical quantization Deformation quantization. The books of Souriau () and Simms and Woodhouse () present the theory of geometric quantization and its relationship to quantum mech anics.

The purpose of the present book is to complement the preceding ones by including new developments of the theory and emphasizing the computations leading to results in quantum mechanics. The Geometry of Heisenberg Groups: With Applications in Signal Theory, Optics, Quantization, and Field Quantization Ernst Binz and Sonja Pods (with an Appendix by Serge Preston) Publication Year: ISBN ISBN Mathematical.

Get this from a library! Mathematical aspects of Weyl quantization and phase. [D A Dubin; M A Hennings; T B Smith] -- This book analyzes in considerable generality the quantization-dequantization integral transform scheme of Weyl and Wigner, and considers several phase operator theories.

It features: a thorough.In mathematical physics, geometric quantization is a mathematical approach to defining a quantum theory corresponding to a given classical attempts to carry out quantization, for which there is in general no exact recipe, in such a way that certain analogies between the classical theory and the quantum theory remain manifest.

For example, the similarity between the Heisenberg.A Mathematical Introduction to Compressive Sensing gives a detailed account of the core theory upon which the field is build. With only moderate prerequisites, it is an excellent textbook for graduate courses in mathematics, engineering, and computer science.