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

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,Sensoren zur Erfassung fluidischer Größen,nt coefficients. We show that the quantum evolution is exactly solvable in terms of the classical flow which is linear. This allows to construct the metaplectic transformations which are unitary operators in ..(ℝ.) corresponding to symplectic transformations. Simple examples of such metaplectic tran
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,Sensoren zur Erfassung fluidischer Größen,ontrol in time of the remainder term depending explicitly on . and on the stability matrix. We find that the quantum evolved coherent state is in ..-norm well approximated by a squeezed state located around the phase-space point .. of the classical flow reached at time ., with a dispersion controlle
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https://doi.org/10.1007/978-3-8348-9269-0s Planck’s constant goes to zero (the semi-classical régime) with the closed orbits of the corresponding classical mechanical system. Gutzwiller gave a heuristic proof of this trace formula, using the Feynman integral representation for the propagator of .. In mathematics this kind of trace formula
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,Sensoren — Sinnesorgane der Technik,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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,Sensoren zur Erfassung mechanischer Größen,as-Blas in Commun. Math. Phys. 187:623–645, .; Villegas-Blas in Ph.D. thesis, .). We show that in a semiclassical sense they concentrate essentially around the Kepler orbits (in configuration space) of the classical motion. A suitable unitary transformation (the Fock operator) maps the pure-point su
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