Coverart for item
The Resource Quantum theory, deformation, and integrability, Robert Carroll, (electronic book)

Quantum theory, deformation, and integrability, Robert Carroll, (electronic book)

Label
Quantum theory, deformation, and integrability
Title
Quantum theory, deformation, and integrability
Statement of responsibility
Robert Carroll
Creator
Subject
Language
eng
Summary
About four years ago a prominent string theorist was quoted as saying that it might be possible to understand quantum mechanics by the year 2000. Sometimes new mathematical developments make such understanding appear possible and even close, but on the other hand, increasing lack of experimental verification make it seem to be further distant. In any event one seems to arrive at new revolutions in physics and mathematics every year. This book hopes to convey some of the excitment of this period, but will adopt a relatively pedestrian approach designed to illuminate the relations between quantum and classical. There will be some discussion of philosophical matters such as measurement, uncertainty, decoherence, etc. but philosophy will not be emphasized; generally we want to enjoy the fruits of computation based on the operator formulation of QM and quantum field theory. In Chapter 1 connections of QM to deterministic behavior are exhibited in the trajectory representations of Faraggi-Matone. Chapter 1 also includes a review of KP theory and some preliminary remarks on coherent states, density matrices, etc. and more on deterministic theory. We develop in Chapter 4 relations between quantization and integrability based on Moyal brackets, discretizations, KP, strings and Hirota formulas, and in Chapter 2 we study the QM of embedded curves and surfaces illustrating some QM effects of geometry. Chapter 3 is on quantum integrable systems, quantum groups, and modern deformation quantization. Chapter 5 involves the Whitham equations in various roles mediating between QM and classical behavior. In particular, connections to Seiberg-Witten theory (arising in N = 2 supersymmetric (susy) Yang-Mills (YM) theory) are discussed and we would still like to understand more deeply what is going on. Thus in Chapter 5 we will try to give some conceptual background for susy, gauge theories, renormalization, etc. from both a physical and mathematical point of view. In Chapter 6 we continue the deformation quantization then by exhibiting material based on and related to noncommutative geometry and gauge theory
Cataloging source
OPELS
http://library.link/vocab/creatorDate
1930-2012
http://library.link/vocab/creatorName
Carroll, Robert W.
Dewey number
530.12/01/516
Index
index present
LC call number
QC174.17.G46
LC item number
C37 2000eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
North-Holland mathematics studies
Series volume
186.
http://library.link/vocab/subjectName
  • Geometric quantization
  • Operator algebras
  • Mathematical physics
Label
Quantum theory, deformation, and integrability, Robert Carroll, (electronic book)
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Dimensions
25 cm.
Extent
xi, 407 p.
Form of item
electronic
Isbn
9780444506214
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
9780444506214
Reproduction note
Electronic resource.
Specific material designation
remote
Label
Quantum theory, deformation, and integrability, Robert Carroll, (electronic book)
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Dimensions
25 cm.
Extent
xi, 407 p.
Form of item
electronic
Isbn
9780444506214
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
9780444506214
Reproduction note
Electronic resource.
Specific material designation
remote

Library Locations

Processing Feedback ...