Lectures on deformation quantization : (Record no. 36850)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02695nam a22002777a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | NISER |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20260320183005.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 260320b |||||||| |||| 00| 0 hin d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9798886131697 |
| Qualifying information | Paperback |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | NISER LIBRARY |
| Language of cataloging | eng |
| Transcribing agency | NISER LIBRARY |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 514.84 |
| Item number | SHA-L |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Sharygin, Georgy Igorevich |
| 245 10 - TITLE STATEMENT | |
| Title | Lectures on deformation quantization : |
| Remainder of title | from Moyal product to Kontsevich's formality theorem |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc. | New Jersey : |
| Name of publisher, distributor, etc. | World Scientific, |
| Date of publication, distribution, etc. | 2026. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xlvi, 403 pages ; |
| Dimensions | 22 cm. |
| 490 ## - SERIES STATEMENT | |
| Series statement | Peking University series in mathematics, |
| Volume/sequential designation | vol. 8 |
| International Standard Serial Number | 2010-2240 ; |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes bibliographical references and index. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | 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.<br/><br/>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.<br/><br/>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. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Poisson manifolds |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Quantum theory |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Symplectic geometry |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Geometric quantization |
| 856 41 - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | Table of contents |
| Uniform Resource Identifier | <a href="https://www.worldscientific.com/doi/reader/10.1142/9789811297816_fmatter">https://www.worldscientific.com/doi/reader/10.1142/9789811297816_fmatter</a> |
| 856 ## - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | Reviews |
| Uniform Resource Identifier | <a href="https://www.goodreads.com/book/show/241527384-lectures-on-deformation-quantisation?ref=nav_sb_ss_1_26#CommunityReviews">https://www.goodreads.com/book/show/241527384-lectures-on-deformation-quantisation?ref=nav_sb_ss_1_26#CommunityReviews</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Universal Decimal Classification |
| Koha item type | Gift books |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Date acquired | Total Checkouts | Full call number | Barcode | Date last seen | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Universal Decimal Classification | SMS Library | SMS Library | 19/03/2026 | 514.84 SHA-L | N510 | 20/03/2026 | 19/03/2026 | NBHM Books |
