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Integrable equations and classical S-matrix
Integrable equations classical S-matrix Mathematical Physics
2012/4/26
We study amplitudes of five-wave interactions for evolution Hamiltonian equations differ from the KdV equation by the form of dispersion law. We find that five-wave amplitude is canceled for all three...
Global Classical and Weak Solutions to the Three-Dimensional Full Compressible Navier-Stokes System with Vacuum and Large Oscillations
Global Classical Weak Solutions Three-Dimensional Full Compressible Navier-Stokes System Vacuum and Large Oscillations
2011/9/19
Abstract: We establish the global existence and uniqueness of classical solutions to the three-dimensional full compressible Navier-Stokes system with smooth initial data which are of small energy but...
Hybrid classical integrability in squashed sigma models
hybrid classical integrability High Energy Physics - Theory Mathematical Physics
2011/10/9
Abstract: We show that SU(2)_L Yangian and q-deformed SU(2)_R symmetries are realized in a two-dimensional sigma model defined on a three-dimensional squashed sphere. These symmetries enable us to dev...
Classical Group Field Theory
Group field theory classical study High Energy Physics - Theory
2011/10/8
Abstract: The ordinary formalism for classical field theory is applied to dynamical group field theories. Focusing first on a local group field theory over one copy of SU(2) and, then, on more involve...
Classical Bethe Ansatz and Normal Forms in the Jaynes-Cummings Model
Classical Bethe Ansatz Normal Forms the Jaynes-Cummings Model
2011/7/28
Abstract: The Jaynes-Cummings-Gaudin model describes a collection of $n$ spins coupled to an harmonic oscillator. It is known to be integrable, so one can define a moment map which associates to each ...
Applications of Classical Scaling Symmetry
Classical Scaling Symmetry Solar and Stellar Astrophysics Exactly Solvable and Integrable Systems
2011/7/25
Abstract: Any symmetry reduces a second-order differential equation to a first-order equation: variational symmetries of the action (exemplified by central field dynamics) lead to conservation laws, b...
Markovian and non-Markovian dynamics in quantum and classical systems
Markovian non-Markovian dynamics quantum classical systems
2011/7/27
Abstract: We discuss the conceptually different definitions used for the non-Markovianity of classical and quantum processes. The well-established definition for non-Markovianity of a classical stocha...
An Alternative to Decoherence by Environment and the Appearance of a Classical World
Decoherence by Environment Appearance Classical World
2010/10/18
We provide an alternative approach to the decoherence-by-environment paradigm in the field of the quantum measurement process and the appearance of a classical world. In contrast to the decoherence ap...
Caustics, counting maps and semi-classical asymptotics
semi-classical asymptotics counting maps Caustics
2010/4/7
This paper develops a deeper understanding of the structure and combinatorial significance of the partition function for Hermitean random matrices. The coefficients of the large N expansion of the log...
Classical and Quantum Mechanics from the universal Poisson-Rinehart algebra of a manifold
Lie-Rinehart algebras Poisson algebras quantization
2010/4/8
The Lie and module (Rinehart) algebraic structure of vector fields of compact support over C infinity functions on a (connected) manifold M define a unique universal non-commutative Poisson * algebra....
Integrating Factors and Conservation Theorems
of Lagrangian Equations for Nonconservative Mechanical System
in Generalized Classical Mechanics
generalized nonconservative system Lagrangian equation
conservation theorem integrating factor
2007/8/15
2006Vol.46No.1pp.43-45DOI:
Integrating Factors and Conservation Theorems
of Lagrangian Equations for Nonconservative Mechanical System
in Generalized Classical Mechanics
QIAO Yong...
Generalized Toda Mechanics Associated with Classical Lie Algebras and Their Reductions
Lax pair Poisson brackets Toda chains
2007/8/15
2004Vol.41No.3pp.339-348DOI:
Generalized Toda Mechanics Associated with Classical Lie Algebras and Their Reductions
ZHAO Liu, LIU Wang-Yun, and YANG Zhan-Ying
Institute ...
Globally singularity-free semi-classical wave functions in closed form
Globally singularity-free semi-classical wave functions closed form
2010/10/15
We use a factorisation technique and representations of canonical transformations to construct
globally valid closed form expressions without singularities of semi-classical wave functions
for arbit...