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Classical limits of boost-rotation symmetric spacetimes
boost-rotation symmetry C-metric Newtonian limit
2010/3/18
Boost-rotation symmetric spacetimes are exceptional as they are the only exact asymptotically flat solutions to the Einstein equations describing spatially bounded sources ("point-like" particles, bla...
Polymer quantization of the free scalar field and its classical limit
free scalar field Polymer quantization classical limit
2010/3/18
Building on prior work, a generally covariant reformulation of free scalar field theory on the flat Lorentzian cylinder is quantized using Loop Quantum Gravity (LQG) type `polymer' representations. Th...
Noether Symmetries and Covariant Conservation Laws in Classical, Relativistic and Quantum Physics
Noether Symmetries Quantum Physics Covariant Conservation Laws
2010/3/18
We review the Lagrangian formulation of Noether symmetries (as well as "generalized Noether symmetries") in the framework of Calculus of Variations in Jet Bundles, with a special attention to so-calle...
Observables in classical canonical gravity: folklore demystified
classical canonical gravity folklore demystified
2010/3/17
We give an overview of some conceptual difficulties, sometimes called paradoxes, that have puzzled for years the physical interpetation of classical canonical gravity and, by extension, the canonical ...
Classical Particle in Presence of Magnetic Field, Hyperbolic Lobachevsky and Spherical Riemann Models
Magnetic Field Spherical Riemann Models Hyperbolic Lobachevsky
2010/4/1
Motion of a classical particle in 3-dimensional Lobachevsky and Riemann spaces is studied in the presence of an external magnetic field which is analogous to a constant uniform magnetic field in Eucli...
One-dimensional universe of free particles: classical and quantum correspondence
Classical-quantum correspondence Wave packets Free particles
2010/3/10
We obtain multi-free particle parametric systems with complete classical-quantum correspondence. First, we quantize the classical parametric model which results in a hyperbolic partial differential eq...
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...
Prediction of the stochastic behaviour of nonlinear systems by deterministic models as a classical time-passage probabilistic problem
stochastic behaviour nonlinear systems deterministic models time-passage probabilistic problem
2009/11/16
Assuming that the behaviour of a nonlinear stochastic system can be described by a Markovian diffusion approximation and that the evolution equations can be reduced to a system of ordinary differentia...
The basic paradoxes of statistical classical physics and the quantum mechanics
Observable Dynamics Idel Dynamics Unpredictable Dynamics self-knowledge correlations
2010/4/7
The statistical classical mechanics and the quantum mechanics are two developed and well-known theories. The described two theories are known and well studied for a long time. Nevertheless, they conta...
Non-classical correlations from dissociation time entanglement
Non-classical correlations dissociation time entanglement
2010/4/8
We discuss a strongly entangled two-particle state of motion that emerges naturally from the double-pulse dissociation of a diatomic molecule. This state, which may be called dissociation-time entangl...
Quantum models of classical mechanics: maximum entropy packets
Quantum classical mechanics maximum entropy packets
2010/4/7
In a previous paper, a project of constructing quantum models of classical properties has been started. The present paper concludes the project by turning to classical mechanics. The quantum states th...
Trading classical communication, quantum communication, and entanglement in quantum Shannon theory
Trading classical communication quantum communication quantum Shannon theory
2010/4/9
We give optimal trade-offs between classical communication, quantum communication, and entanglement for processing information in the Shannon-theoretic setting. We first prove a "unit-resource" capaci...
Smooth quantum-classical transition in photon subtraction and addition processes
Smooth quantum-classical transition photon subtraction addition processes
2010/4/9
Recently Parigi et al. [Science 317, 1890 (2007)] implemented experimentally the photon subtraction and addition processes from/to a light field in a conditional way, when the required operations were...
Information flow at the quantum-classical boundary
Information flow quantum-classical boundary
2010/4/9
We study the nature of the information preserved by a quantum channel via the observables which exist in its image (in the Heisenberg picture), and can therefore be simulated on the receiver's side. T...
Classical capacity of a qubit depolarizing channel with memory
Classical capacity qubit depolarizing channel memory
2010/4/8
The classical product state capacity of a noisy quantum channel with memory is investigated. A forgetful noise-memory channel is constructed by Markov switching between two depolarizing channels which...