Skip to main content
  • Conference proceedings
  • © 2006

Non-Linear Dynamics and Fundamental Interactions

  • 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)

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (Canada)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

This is a preview of subscription content, access via your institution.

Table of contents (28 papers)

  1. Front Matter

    Pages i-ix
  2. Nonlinear Dynamics

    1. Front Matter

      Pages N1-N1
    2. Quantum graphs which sound the same

      • Talia Shapira, Uzy Smilansky
      Pages 17-29
    3. Nonlinear quantum dynamics

      • Salman Habib
      Pages 43-56
    4. Signatures of quantum chaos in open chaotic billiards

      • Almas F. Sadreev, Karl-Fredrik Berggren
      Pages 57-68
    5. From quantum graphs to quantum random walks

      • Gregor K. Tanner
      Pages 69-87
    6. Quantum chaos in floppy molecular systems: The LiCN molecule

      • F. Borondo, R. M. Benito
      Pages 115-128
    7. Modern aspects of the three-body Coulomb problems

      • Javier Madroñero, Andreas Buchleitner
      Pages 129-140
    8. Finite-temperature quantum billiards

      • U. R. Salomov, D. U. Matrasulov, F. C. Khanna, G. M. Milibaeva
      Pages 167-172
    9. Chaotic dynamics of the relativistic kicked rotor

      • G. M. Milibaeva, D. U. Matrasulov, U. R. Salomov, Bala Sundaram
      Pages 173-178
    10. 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
    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

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.

Keywords

  • Potential
  • Quark
  • hadron
  • molecule
  • nonlinear dynamics
  • particles
  • quantum chaos
  • quantum system
  • scattering
  • spectra

Editors and Affiliations

  • University of Alberta, Edmonton, Canada

    Faqir Khanna

  • Uzbek Academy of Sciences, Tashkent, Uzbekistan

    Davron Matrasulov

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (Canada)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access