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Coherent States in Quantum Physics
Part I: Coherent States 1. Introduction 2. The Standard Coherent States: The Basics 3. The Standard Coherent States: The (Elementary) Mathematics 4. Coherent States in Quantum Information: An ExampleExpand
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Coherent States, Wavelets, and Their Generalizations
This second edition is fully updated, covering in particular new types of coherent states (the so-called Gazeau-Klauder coherent states, nonlinear coherent states, squeezed states, as used nowExpand
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Continuous Frames in Hilbert Space
Abstract The standard theory of frames in Hilbert spaces, using discrete bases, is generalized to one where the basis vectors may be labelled using discrete, continuous, or a mixture of the two typesExpand
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Coherent states for systems with discrete and continuous spectrum
For a system with one degree of freedom, coherent states that are parametrized by classical canonical action-angle variables are introduced. These states also possess continuity of labelling, aExpand
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Symmetries of variable coefficient Korteweg–de Vries equations
The Lie point symmetries of the equation ut+f(x, t)uux+g(x,t)uxxx=0 are studied. The symmetry group is shown to be, at most, four dimensional, and this occurs if and only if the equation isExpand
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Beta-integers as natural counting systems for quasicrystals
Recently, discrete sets of numbers, the -integers , have been proposed as numbering tools in quasicrystalline studies. Indeed, there exists a unique numeration system based on the irrational in whichExpand
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Dirac fields and thermal effects in the de Sitter universe
We present a study of Dirac quantum fields in a four-dimensional de Sitter spacetime. The theory is based on the requirement of precise analyticity properties of the waves and the correlationExpand
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The LMS hand: force and position controls in the aim of the fine manipulation of objects
The work deals with the development of the control of an articulated mechanical hand with four fingers and sixteen degrees of freedom with the aim of fine manipulation of objects. Expand
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