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Hamiltonian Formulation of Classical Fields with Fractional Derivatives
Fractional derivatives Lagrangian and Hamiltonian formulation
2011/8/3
Abstract: An investigation of classical fields with fractional derivatives is presented using the fractional Hamiltonian formulation. The fractional Hamilton's equations are obtained for two classical...
Sequential, successive, and simultaneous decoders for entanglement-assisted classical communication
simultaneous decoders entanglement-assisted classical communication Quantum Physics
2011/9/29
Abstract: Bennett et al. showed that allowing shared entanglement between a sender and receiver before communication begins dramatically simplifies the theory of quantum channels, and these results su...
Abstract: The free Fock space with corresponding - information creation and anihilation operators - supplies a kind of extended language in which equations for n-point information (n-pi) of classical ...
On Third Order Lagrangians, Weyl Invariants & Classical Trace Anomaly in Six Dimensions
Higher Order Gravities Non–Linear Lagrangians Weyl Invariants Heat Kernel Coefficients Lovelock Lagrangian
2011/9/29
Abstract: We have proceeded the analogy of Einstein tensor and alternative form of Einstein field equations for generic coefficients of eight terms in third order of Lovelock Lagrangian. We have found...
Quantum Axiomatics: Topological and Classical Properties of State Property Systems
State Property System orthocomplementation property lattice closure space classical property
2011/9/29
Abstract: The definition of 'classical state', and how it was used in earlier work to prove a decomposition theorem internally in the language of State Property Systems, presupposes as an additional d...
Classical dynamics and particle transport in kicked billiards
Classical dynamics particle transport
2011/9/29
We study nonlinear dynamics of the kicked particle whose motion is confined by square billiard.The kick source is considered as localized at the center of square with central symmetric spatial distrib...
Relaxation of ideal classical particles in a one-dimensional box
Relaxation, classical mechanics, ideal gas law
2011/9/6
We study the deterministic dynamics of non-interacting classical gas particles confined to a one-dimensional box as a pedagogical toy model for the relaxation of the Boltzmann distribution towards equ...
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...
Ultraviolet singularities in classical brane theory
Ultraviolet singularities classical brane theory
2010/12/23
We construct for the first time an energy-momentum tensor for the electromagnetic field of a p-brane in arbitrary dimensions, entailing finite energy-momentum integrals. The construction relies on di...
Classical GR as a topological theory with linear constraints
Classical GR topological theory
2010/12/27
We investigate a formulation of continuum 4d gravity in terms of a constrained topological (BF) theory, in the spirit of the Plebanski formulation, but involving only linear constraints, of the type ...
Particle with non-Abelian charge: classical and quantum
non-Abelian charge classical quantum
2010/12/23
We construct an action in the worldline formalism for a non-Abelian charged particle in a non-Abelian background field, described by real bosonic variables, leading to a set of the well known classica...
We discuss some new simple closed bosonic string solutions in AdS_5 x S^5 that may be of interest in the context of AdS/CFT duality. In the first part of this work we consider solutions with two spins...
Symmetric Criticality in Classical Field Theory
Symmetric Criticality Classical Field Theory
2010/12/27
This is a brief overview of work done by Ian Anderson, Mark Fels, and myself on symmetry reduction of Lagrangians and Euler-Lagrange equations, a subject closely related to Palais' Principle of Symmet...