Research Catalog

Title

Quantum theory, deformation, and integrability / Robert Carroll.

Author

Carroll, Robert W., 1930-2012

Publication

New York : Elsevier Science B.V., 2000.

Items in the Library & Off-site

Details

Description

xi, 407 p.; 25 cm.

Series Statement

North-Holland mathematics studies ; 186

Uniform Title

North-Holland mathematics studies ; 186.

Subject

• Geometric quantization
• Operator algebras
• Mathematical physics

Bibliography (note)

• Includes bibliographical references and index.

Processing Action (note)

• committed to retain

Contents

1. Quantization and Integrability -- 1.1. Algebraic and Geometric Methods -- 1.2. Vertex Operators and Coherent States -- 1.3. Remarks on the Olavo Theory -- 1.4. Trajectory Representations -- 1.5. Miscellaneous -- 2. Geometry and Embedding -- 2.1. Curves and Surfaces -- 2.2. Surfaces in R[superscript 3] and Conformal Immersion -- 2.3. Quantum Mechanics on Embedded Objects -- 2.4. Willmore Surfaces, Strings, and Dirac -- 2.5. Conformal Maps and Curves -- 3. Classical and Quantum Integrability -- 3.1. Background -- 3.2. R Matrices and PL Structures -- 3.3. Quantization and Quantum Groups -- 3.4. Algebraic Bethe Ansatz -- 3.5. Separation of Variables -- 3.6. Hirota Equations -- 3.7. SOV and Hitchin Systems -- 3.8. Deformation Quantization -- 3.9. Miscellaneous -- 4. Discrete Geometry and Moyal -- 4.1. Introduction -- 4.2. Hirota, Strings, and Discrete Surfaces -- 4.3. A Few Summary Remarks -- 4.4. More on Phase Space Discretization -- 5. Whitham Theory -- 5.1. Background -- 5.2. Isomonodromy Problems -- 5.3. Whitham and Seiberg-Witten -- 5.4. Soft Susy Breaking and Whitham -- 5.5. Renormalization -- 5.6. Whitham, WDVV, and Picard-Fuchs -- 6. Geometry and Deformation Quantization -- 6.1. Noncommutative Geometry -- 6.2. Gauge Theories -- 6.3. Berezin Toeplitz Quantization.

ISBN

0444506217

LCCN

^^^00047685^

OCLC

• 45024489
• SCSB-9990990

Owning Institutions

Harvard Library