Ebook: Non-Linear Dynamics and Fundamental Interactions: Proceedings of the NATO Advanced Research Workshop on Non-Linear Dynamics and Fundamental Interactions Tashkent, Uzbekistan October 10–16, 2004

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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The book is directed to researchers and graduate students pursuing an advanced degree. It provides details of techniques directed towards solving problems in non-linear dynamics and chos that are, in general, not amenable to a perturbative treatment. The consideration of fundamental interactions is a prime example where non-perturbative techniques are needed. Extension of these techniques to finite temperature problems is considered. At present these ideas are primarily used in a perturbative context. However, non-perturbative techniques have been considered in some specific cases. Experts in the field on non-linear dynamics and chaos and fundamental interactions elaborate the techniques and provide a critical look at the present status and explore future directions that may be fruitful. The text of the main talks will be very useful to young graduate students who are starting their studies in these areas.

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The book is directed to researchers and graduate students pursuing an advanced degree. It provides details of techniques directed towards solving problems in non-linear dynamics and chos that are, in general, not amenable to a perturbative treatment. The consideration of fundamental interactions is a prime example where non-perturbative techniques are needed. Extension of these techniques to finite temperature problems is considered. At present these ideas are primarily used in a perturbative context. However, non-perturbative techniques have been considered in some specific cases. Experts in the field on non-linear dynamics and chaos and fundamental interactions elaborate the techniques and provide a critical look at the present status and explore future directions that may be fruitful. The text of the main talks will be very useful to young graduate students who are starting their studies in these areas.
Content:
Front Matter....Pages i-ix
Front Matter....Pages N1-N1
Heat conduction in one dimensional systems: Fourier law, chaos, and heat control....Pages 1-16
Quantum graphs which sound the same....Pages 17-29
Scarred states in strongly coupled quantum systems....Pages 31-42
Nonlinear quantum dynamics....Pages 43-56
Signatures of quantum chaos in open chaotic billiards....Pages 57-68
From quantum graphs to quantum random walks....Pages 69-87
Semiclassics and propagation of coherent states for spin-orbit coupling problems....Pages 89-100
Lass of inhomogeneously driven dyamical systems: General theory, regular and chaotic properties, applications....Pages 101-113
Quantum chaos in floppy molecular systems: The LiCN molecule....Pages 115-128
Modern aspects of the three-body Coulomb problems....Pages 129-140
Concerning regularities of particle’s motion in the electric and thermoelectric fields with distributed potential....Pages 141-153
Theory of relativistic ideal gas for quasi and ordinary particles....Pages 155-165
Finite-temperature quantum billiards....Pages 167-172
Chaotic dynamics of the relativistic kicked rotor....Pages 173-178
The largest Lyapunov exponents for the relativistic hydrogen-like atom in a uniform magnetic field....Pages 179-184
Front Matter....Pages 185-185
Thermal field theory: Algebraic aspects and applications to confined systems....Pages 187-213
Thermofield dynamics: Generalized Bogoliubov transformations and applications to Casimir effect....Pages 215-227
A force from nothing onto nothing: Casimir effect between bubbles in the Fermi sea....Pages 229-241
Quantum chaos in QCD and hadrons....Pages 243-254
QCD instanton vacuum effective action....Pages 255-267
Front Matter....Pages 185-185
New Casimir energy calculations for single cavities....Pages 269-275
Quantum field theory for nonequilibrium phase transitions....Pages 277-291
Ginzburg Landau theory of superconductivity: Beyond the post Gaussian approximation....Pages 293-301
The s-wave ?d scattering length from ?d atom using effective field theory....Pages 303-315
Spectra of quarkonia at finite-temperature....Pages 317-328
Chaotization of the periodically driven quarkonia....Pages 329-334
Quantum chaos at finite temperature....Pages 335-340
Back Matter....Pages 341-346
....Pages 347-349