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On the semi-classical limit for the focusing nonlinear Schrodinger equation: sensitivity to analytic properties of the initial data
focusing nonlinear Schrodinger equation semiclassical limit non-analyticity
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2015/3/19
We present the results of a large number of careful numerical experiments carried out to investigate the way that the solution of the integrable focusing nonlinear Schrodinger equation with - xed ini...
The Classical Limit of Representation Theory of the Quantum Plane
Classical Limit of Representation Theory of the Quantum Plane
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2011/2/22
We showed that there is a complete analogue of a representation of the quantum plane Bq where |q| = 1, with the classical ax + b group.
On the classical limit of quantum mechanics and the threat of fundamental graininess and chaos to the correspondence principle
classical limit of quantum mechanics fundamental graininess and chaos correspondence principle
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2010/10/21
The aim of this paper is to review the classical limit of Quantum Mechanics and to precise the well known threat of chaos (and fundamental graininess) to the correspondence principle. We will introduc...
On the classical limit of quantum mechanics and the threat of fundamental graininess and chaos to the correspondence principle
classical limit of quantum mechanics threat of fundamental graininess correspondence principle
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2010/12/16
The aim of this paper is to review the classical limit of Quantum
Mechanics and to precise the well known threat of chaos (and fundamental graininess) to the correspondence principle. We will introdu...
Polymer quantization of the free scalar field and its classical limit
free scalar field Polymer quantization classical limit
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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...
Some Remarks on the Semi-Classical Limit of Quantum Gravity
the Semi-Classical Limit Quantum Gravity
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2010/10/13
One of the most important issues in quantum gravity is to identify its semi-classical regime. First the issue is to define for we mean by a semi-classical theory of quantum gravity, then we would like...
Classical limit of non-integrable systems
Classical limit non-integrable systems
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2010/10/13
Self-induced decoherence formalism and the corresponding classical limit are extended from quantum integrable systems to non-integrable ones.