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Non-Linear Dynamics and Fundamental Interactions

  • Conference proceedings
  • © 2006

Overview

Editors:
  1. Faqir Khanna

    1. University of Alberta, Edmonton, Canada

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  2. Davron Matrasulov

    1. Uzbek Academy of Sciences, Tashkent, Uzbekistan

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  • Unique overlap of non-linear dynamics, chaos and fundamental interactions
  • Critical review of methods in non-linear dynamics and chaos
  • Study of quantum chaology
  • Role of temperature in quantum chaology and non-linear dynamics

Part of the book series: NATO Science Series II: Mathematics, Physics and Chemistry (NAII, volume 213)

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About this book

This volume contains the papers presented at the NATO Advanced Research Institute on "Non-Linear Dynamics and Fundamental Interactions" held in Tashkent, Uzbekistan, from Oct.10-16,2004. The main objective of the Workshop was to bring together people working in areas of Fundamental physics relating to Quantum Field Theory, Finite Temperature Field theory and their applications to problems in particle physics, phase transitions and overlap regions with the areas of Quantum Chaos. The other important area is related to aspects of Non-Linear Dynamics which has been considered with the topic of chaology. The applications of such techniques are to mesoscopic systems, nanostructures, quantum information, particle physics and cosmology. All this forms a very rich area to review critically and then find aspects that still need careful consideration with possible new developments to find appropriate solutions. There were 29 one-hour talks and a total of seven half-hour talks, mostly by the students. In addition two round table discussions were organised to bring the important topics that still need careful consideration. One was devoted to questions and unsolved problems in Chaos, in particular Quantum Chaos. The other round table discussion considered the outstanding problems in Fundamental Interactions. There were extensive discussions during the two hours devoted to each area. Applications and development of new and diverse techniques was the real focus of these discussions. The conference was ably organised by the local committee consisting of D.U.

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Table of contents (28 papers)

  1. Front Matter

    Pages i-ix
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  2. Nonlinear Dynamics

    1. Front Matter

      Pages N1-N1
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    2. Heat conduction in one dimensional systems: Fourier law, chaos, and heat control

      • Giulio Casati, Baowen Li
      Pages 1-16

    3. Quantum graphs which sound the same

      • Talia Shapira, Uzy Smilansky
      Pages 17-29

    4. Scarred states in strongly coupled quantum systems

      • Bala Sundaram
      Pages 31-42

    5. Nonlinear quantum dynamics

      • Salman Habib
      Pages 43-56

    6. Signatures of quantum chaos in open chaotic billiards

      • Almas F. Sadreev, Karl-Fredrik Berggren
      Pages 57-68

    7. From quantum graphs to quantum random walks

      • Gregor K. Tanner
      Pages 69-87

    8. Semiclassics and propagation of coherent states for spin-orbit coupling problems

      • Jens Bolte
      Pages 89-100

    9. Lass of inhomogeneously driven dyamical systems: General theory, regular and chaotic properties, applications

      • Vladimir Damgov
      Pages 101-113

    10. Quantum chaos in floppy molecular systems: The LiCN molecule

      • F. Borondo, R. M. Benito
      Pages 115-128

    11. Modern aspects of the three-body Coulomb problems

      • Javier Madroñero, Andreas Buchleitner
      Pages 129-140

    12. Concerning regularities of particle’s motion in the electric and thermoelectric fields with distributed potential

      • V. I. Fedulov
      Pages 141-153

    13. Theory of relativistic ideal gas for quasi and ordinary particles

      • Mustaqim Jumaev
      Pages 155-165

    14. Finite-temperature quantum billiards

      • U. R. Salomov, D. U. Matrasulov, F. C. Khanna, G. M. Milibaeva
      Pages 167-172

    15. Chaotic dynamics of the relativistic kicked rotor

      • G. M. Milibaeva, D. U. Matrasulov, U. R. Salomov, Bala Sundaram
      Pages 173-178

    16. The largest Lyapunov exponents for the relativistic hydrogen-like atom in a uniform magnetic field

      • S. K. Avazbaev, D. U. Matrasulov, P. K. Khabibullaev
      Pages 179-184

  3. Fundamental Interactions

    1. Front Matter

      Pages 185-185
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    2. Thermal field theory: Algebraic aspects and applications to confined systems

      • A. E. Santana, J. M. C. Malbouisson, A. P. C. Malbouisson, F. C. Khanna
      Pages 187-213

    3. Thermofield dynamics: Generalized Bogoliubov transformations and applications to Casimir effect

      • F. C. Khanna, J. M. C. Malbouisson, A. E. Santana
      Pages 215-227
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Editors and Affiliations

  • University of Alberta, Edmonton, Canada

    Faqir Khanna

  • Uzbek Academy of Sciences, Tashkent, Uzbekistan

    Davron Matrasulov

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