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Hamiltonian methods in the theory of solitons
L. D. Faddeev,Leon A. Takhtajan +1 more
TLDR
The Nonlinear Schrodinger Equation (NS Model) and Zero Curvature Representation (ZCR) as discussed by the authors have been used for the classification and analysis of Integrable Evolution Equations.Abstract:
The Nonlinear Schrodinger Equation (NS Model)- Zero Curvature Representation- The Riemann Problem- The Hamiltonian Formulation- General Theory of Integrable Evolution Equations- Basic Examples and Their General Properties- Fundamental Continuous Models- Fundamental Models on the Lattice- Lie-Algebraic Approach to the Classification and Analysis of Integrable Models- Conclusion- Conclusionread more
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From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
TL;DR: The eigenstate thermalization hypothesis (ETH) as mentioned in this paper is a natural extension of quantum chaos and random matrix theory (RMT) and it allows one to describe thermalization in isolated chaotic systems without invoking the notion of an external bath.
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Kaluza-Klein gravity
TL;DR: In this paper, the authors discuss the cosmological and astrophysical implications of extra dimensions, and conclude that none of the three approaches can be ruled out on observational grounds at the present time.
Book
Jacobi Operators and Completely Integrable Nonlinear Lattices
TL;DR: In this paper, the Toda system and the Kac-van Moerbeke system are studied. But the initial value problem is not considered in this paper, as it is in the case of Jacobi operators with periodic coefficients.
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Classical/quantum integrability in AdS/CFT
Vladimir Kazakov,Andrei Marshakov,Andrei Marshakov,Joseph A. Minahan,Joseph A. Minahan,Konstantin Zarembo +5 more
TL;DR: In this article, a unified approach to the long wavelength Bethe equations, the classical ferromagnet and the classical string solutions in the SU(2) sector is presented, governed by complex curves endowed with meromorphic differentials with integer periods.
Book
Inverse Sturm-Liouville problems and their applications
TL;DR: Inverse spectral problems for Sturm-Liouville differential operators are studied in this paper, where the authors present the main results and methods on inverse spectral problems and their applications.