Non-Linear Dynamics And Fundamental Interactions

by Khanna, Faqir; Matrasulov, Davron

• ISBN13: 9781402039485
• ISBN10: 1402039484
• Format: Paperback
• Copyright: 2005-11-15
• Publisher: Kluwer Academic Pub

Summary

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.

Table of Contents

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