Titlebook: Coherent States and Applications in Mathematical Physics; Monique Combescure,Didier Robert Book 20121st edition Springer Science+Business

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Pseudo-Spin-Coherent States,w consider analogue setting when the sphere is replace by the 2-pseudo-sphere i.e. the Euclidean metric in ℝ. is replaced by the Minkowski metric and the group .(3) by the symmetry group .(2,1). The main big difference with the Euclidean case is that in the Minkowski case the pseudo-sphere in non co

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Bosonic Coherent States,spin and have symmetric wave functions; fermions are quantum particle with half-integer spin and are represented with anti-symmetric wave functions. The functional setting is given by symmetric or anti-symmetric tensor product of Hilbert spaces. We describe these spaces and transformations between t

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,Supercoherent States—An Introduction,sible to consider simultaneously bosons and fermions. Our aim is to give a short introduction to this deep and difficult subject by considering some elementary examples where coherent states and quantization are involved.

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Weyl Quantization and Coherent States,s and applications to propagation of observables..We show that Wick quantization is a natural bridge between Weyl quantization and coherent states. Applications are given of the semi-classical limit after introducing an efficient modern tool: semi-classical measures..We illustrate the general result

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The Quadratic Hamiltonians,tered at the classical phase space point (see Chap. .). From these computations we can deduce most of properties concerning quantum quadratic Hamiltonians. In particular we get the explicit form of the Weyl symbols of the metaplectic transformations. These formulas are generalizations of the Mehler

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The Semiclassical Evolution of Gaussian Coherent States,Chap. .). The difference between the exact and the semiclassical evolution is estimated in time . and in the semiclassical parameter . giving in particular the well known Ehrenfest time of order log(..)..We then provide two applications of the semiclassical estimates: the first one concerns the semi

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