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050  4 QC174.45.A1A63 2000 
082 0  530.14 
100 1  Ahn, Changrim 
245 10 Integrable Quantum Field Theories and Their Applications :
       |bProceedings of the APCTP Winter School 
264  1 Singapore :|bWorld Scientific Publishing Co Pte Ltd,|c2001
264  4 |c©2001 
300    1 online resource (354 pages) 
336    text|btxt|2rdacontent 
337    computer|bc|2rdamedia 
338    online resource|bcr|2rdacarrier 
505 0  Intro -- Contents -- Preface -- Applications of Reflection
       Amplitudes in Toda-Type Theories -- 1 Introduction -- 2 
       Normalization Factors and Reflection Amplitudes -- 3 
       Reflections of Zero-Modes -- 4 Quantization Conditions and
       Scaling Functions -- 5 Comparison with the TBA results -- 
       6 Vacuum expectation value of exponential operator -- 
       Acknowledgement -- References -- Lax Pairs and Involutive 
       Hamiltonians for CN and BCN Ruijsenaars-Schneider Models -
       - 1 Introduction -- 2 AN-1-type Ruijsenaars-Schneider 
       model -- 3 Hamiltonian reduction of Cn and BCn RS models 
       from AN-1-type ones -- 4 Lax representations and 
       involutive Hamiltonians for Cn and BCn RS models -- 5 
       Degenerate cases -- 6 Nonrelativistic limit to the 
       Calogero-Moser system -- 7 Summary and discussions -- 
       Acknowledgement -- References -- Fateev's Models and Their
       Applications -- 1 Fateev's models -- 2 Thermodynamic Bethe
       Ansatz -- 3 Applications -- 4 Discussion -- References -- 
       The ODE/IM Correspondence -- Introduction -- 1 Schrodinger
       equations -- 2 Functional relations in integrable models -
       - 3 The TQ/ODE connection -- 4 Generalisations -- 5 
       Duality and reduction -- 6 Conclusions -- Acknowledgements
       -- References -- Integrable Sigma Models -- 1 Introduction
       -- 2 The models -- 3 Theta terms and WZW terms -- 4 The 
       particle content -- 5 The S matrices -- 6 Matching 
       perturbative expansions -- 7 The free energy at finite 
       temperature -- 8 Conclusion -- References -- Lorentz 
       Lattice Gases and Spin Chains -- 1 Introduction -- 2 
       Integrable loop models and spin chains -- 3 Thermodynamic 
       limit and finite-size behaviour -- 4 Concluding Remarks --
       Acknowledgements -- References -- Quantum Calogero-Moser 
       Models for Any Root System -- 1 Introduction -- 2 Quantum 
       Calogero-Moser Models -- 3 Coxeter invariant excited 
       states triangularity and spectrum -- 4 Quantum Lax pair 
       and quantum conserved quantities 
505 8  5 Algebraic construction of excited states I -- 6 l 
       operators -- 7 Algebraic construction of excited states II
       -- 8 Universal proof of involution of quantum conserved 
       quantities for type I II and III models -- 9 Summary 
       comments and outlook -- Acknowledgements -- References -- 
       Quasi-Particles in Conformal Field Theories for Fractional
       Quantum Hall Systems -- 1 Summary of the lectures -- 
       References -- Towards Form Factors in Finite Volume -- 1 
       Introduction. -- 2 The formulation of the problem. -- 3 
       The classical periodical problem for KdV. -- 4 Hamiltonian
       structure of finite-zone solutions. -- 5 Separation of 
       variables. Baxter equation. -- 6 Quasi-classical wave 
       functions and matrix elements. -- 7 Large L limit -- 
       References -- Static and Dynamic Properties of Trapped 
       Bose-Einstein Condensates -- 1 Introduction -- 2 Static 
       Properties of Bose-Einstein Condensates -- 3 Collective 
       Excitations and Stability of Two-Component Bose-Einstein 
       Condensates -- 4 Dynamic Properties of Bose-Einstein 
       Condensates -- Acknowledgment -- References -- 
       Integrability of the Calogero Model: Conserved Quantities 
       the Classical General Solution and the Quantum Orthogonal 
       Basis -- 1 Introduction -- 2 Projection Method -- 3 
       Quantum Calogero Model -- 4 Quantum Calogero Model with 
       Distinguishable Particles -- 5 Symmetrization of Non-
       symmetric Theory -- 6 Summary -- Acknowledgements -- 
       References -- Conformal Boundary Conditions -- 0. 
       Introduction -- 1. A lightning review of CFT -- 2. 
       Boundary Conformal Field Theory -- 3. Boundary Operator 
       Algebra -- 4. Integrable lattice models -- 
       Acknowledgements -- References 
520    This volume includes several lecture notes on the 
       fundamentals and elementary techniques of integrable field
       theories and on their applications to low-dimensional 
       physics systems contributed by leading scientists in the 
       respective fields. The main topics covered are various 
       aspects of the thermodynamic Bethe ansatz, form factors, 
       Calogero (and related) models, sigma models, conformal 
       boundary conditions, etc. The volume presents both 
       pedagogical material and a current research trend in the 
       field. The proceedings have been selected for coverage in:
       .  Index to Scientific & Technical Proceedings (ISTP CDROM
       version / ISI Proceedings). Contents: Applications of 
       Reflection Amplitudes in Toda-Type Theories (C Ahn et 
       al.); Lax Pairs and Involutive Hamiltonians for C N and BC
       N Ruijsenaars-Schneider Models (K Chen et al.); Fateev's 
       Models and Their Applications (D Controzzi & A M Tsvelik);
       The ODE/IM Correspondence (P Dorey et al.); Integrable 
       Sigma Models (P Fendley); Lorentz Lattice Gases and Spin 
       Chains (M J Martins); Quantum Calogero-Moser Models for 
       Any Root System (R Sasaki); Quasi-Particles in Conformal 
       Field Theories for Fractional Quantum Hall Systems (K 
       Schoutens & R A J van Elburg); Towards Form Factors in 
       Finite Volume (F A Smirnov); Static and Dynamic Properties
       of Trapped Bose-Einstein Condensates (T Tsurumi et al.); 
       Integrability of the Calogero Model: Conserved Quantities,
       the Classical General Solution and the Quantum Orthogonal 
       Basis (H Ujino et al.); Conformal Boundary Conditions (J B
       Zuber). Readership: Quantum field theorists, mathematical,
       theoretical, high energy and condensed matter physicists 
588    Description based on publisher supplied metadata and other
       sources 
590    Electronic reproduction. Ann Arbor, Michigan : ProQuest 
       Ebook Central, 2020. Available via World Wide Web. Access 
       may be limited to ProQuest Ebook Central affiliated 
       libraries 
650  0 Quantum field theory -- Congresses.;Integral equations -- 
       Numerical solutions -- Congresses.;Mathematical physics --
       Congresses 
655  4 Electronic books 
700 1  Rim, Chaiho 
700 1  Sasaki, Ryu 
700 1  Changrim Ahn, 
700 1  Chaiho Rim, 
776 08 |iPrint version:|aAhn, Changrim|tIntegrable Quantum Field 
       Theories and Their Applications : Proceedings of the APCTP
       Winter School|dSingapore : World Scientific Publishing Co 
       Pte Ltd,c2001|z9789810247379 
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