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 / edited by Faqir Khanna, Davron Matrasulov.

Springer eBooks

Nonlinear Dynamics -- Heat conduction in one dimensional systems: Fourier law, chaos, and heat control -- Quantum graphs which sound the same -- Scarred states in strongly coupled quantum systems -- Nonlinear quantum dynamics -- Signatures of quantum chaos in open chaotic billiards -- From quantum graphs to quantum random walks -- Semiclassics and propagation of coherent states for spin-orbit coupling problems -- Lass of inhomogeneously driven dyamical systems: General theory, regular and chaotic properties, applications -- Quantum chaos in floppy molecular systems: The LiCN molecule -- Modern aspects of the three-body Coulomb problems -- Concerning regularities of particle’s motion in the electric and thermoelectric fields with distributed potential -- Theory of relativistic ideal gas for quasi and ordinary particles -- Finite-temperature quantum billiards -- Chaotic dynamics of the relativistic kicked rotor -- The largest Lyapunov exponents for the relativistic hydrogen-like atom in a uniform magnetic field -- Fundamental Interactions -- Thermal field theory: Algebraic aspects and applications to confined systems -- Thermofield dynamics: Generalized Bogoliubov transformations and applications to Casimir effect -- A force from nothing onto nothing: Casimir effect between bubbles in the Fermi sea -- Quantum chaos in QCD and hadrons -- QCD instanton vacuum effective action -- New Casimir energy calculations for single cavities -- Quantum field theory for nonequilibrium phase transitions -- The ? ? ??0 decay in the Chiral model -- Ginzburg Landau theory of superconductivity: Beyond the post Gaussian approximation -- The s-wave ?d scattering length from ?d atom using effective field theory -- Spectra of quarkonia at finite-temperature -- Chaotization of the periodically driven quarkonia -- Quantum chaos at finite temperature.

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.

Para consulta fuera de la UANL se requiere clave de acceso remoto.