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Non-Linear Dynamics and Fundamental Interactions 2006 ed. [Hardback]

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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.
Preface v
Nonlinear Dynamics
Heat conduction in one dimensional systems: Fourier law, chaos, and heat control
1(16)
Guilio Casati
Baowen Li
Quantum graphs which sound the same
17(14)
Talia Shapira
Uzy Smilansky
Scarred states in strongly coupled quantum systems
31(12)
Bala Sundaram
Nonlinear quantum dynamics
43(14)
Salman Habib
Signatures of quantum chaos in open chaotic billiards
57(12)
Almas F. Sadreev
Karl-Fredrik Berggren
From quantum graphs to quantum random walks
69(20)
Gregor K. Tanner
Semiclassics and propagation of coherent states for spin-orbit coupling problems
89(12)
Jens Bolte
Lass of inhomogeneously driven dynamical systems: general theory, regular and chaotic properties, applications
101(14)
Vladimir N. Damgov
Quantum chaos in floppy molecular systems: the lien molecule
115(14)
Florentino Borondo
R.M. Benito
Modern aspects of the three-body Coulomb problem
129(12)
Javier Madronero
Andreas Buchleitner
Concerning regularities of particles motion in the electric and thermoelectric fields with distributed potential
141(14)
Victor I. Fedulov
Theory of relativistic ideal gas for quasi and ordinary particles
155(12)
Mustakim R. Jumaev
Finite-temperature quantum billiards
167(6)
Uktam R. Salomov
D.U. Matrasulov
F.C. Khanna
G.M. Milibaeva
Chaotic dynamics of the relativistic kicked rotor
173(6)
Guljamal M. Milibaeva
D.U. Matrasulov
U.R. Salomov
Bala Sundaram
The largest Lyapunov exponents for the relativistic hydrogen-like atom in a uniform magnetic field
179(8)
Sanat K. Avazbaev
D.U. Matrasulov
P.K. Khabibullaev
Fundamental Interactions
Thermal field theory: Algebraic aspects and applications to confined Systems
187(28)
Ademir E. Santana
J.M.C. Malbouisson
A.P.C. Malbouisson
F.C. Khanna
Thermofield dynamics: Generalized bogoliubov transormations and applications to Casimir effect
215(14)
Faqir C. Khanna
J.M.C. Malbouisson
A.E. Santana
A force from nothing onto nothing: Casimir effect between bubbles in the Fermi sea
229(14)
Andreas Wirzba
Quantum chaos in QCD and hadrons
243(12)
Harald Markum
Willibald Plessas
Rainer Pullirsch
Bianka Sengl
Robert F. Wagenbrunn
QCD instanton vacuum effective action
255(14)
Mirzayousuf M. Musakhanov
New Casimir energy calculations for single cavities
269(8)
H. Ahmedov
Ismail H. Duru
Quantum Field Theory for Nonequilibrium Phase Transitions
277(16)
Sang Pyo Kim
The φ → ω π0 decay in the Chiral Model
293(10)
Kamil Nasriddinov
Boris Kuranov
Nurmukhammad Iskandarov
Ginzburg Landau theory of superconductivity: Beyond the post Gaussian approximation
303(14)
Abdulla Rakhimov
Jae Hyung Yee
Chul Koo Kim
The s-wave πd scattering length from πd atom using effective field theory
317(12)
Bahodir F. Irgaziev
B.A. Fayzullaev
Spectra of Quarkonia at finite-temperature
329(6)
Khakim T. Butanov
D.U. Matrasulov
Kh. Yu. Rakhimov
F.C. Khanna
Chaotization of the periodically driven quarkonia
335(6)
Davron Otajanov
Faqir Khanna
Davron Matrasulov
Quantum chaos at finite temperature
341(6)
Davron U. Matrasulov
U.R. Salomov
F.C. Khanna
A. Santana
Index 347