Imprints of the Quantum World in Classical Mechanics |
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Authors: | Maurice A de Gosson Basil J Hiley |
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Institution: | 1.NuHAG, Fakult?t für Mathematik,Universit?t Wien,Wien,Austria;2.TPRU, Birkbeck,University of London,London,UK |
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Abstract: | The imprints left by quantum mechanics in classical (Hamiltonian) mechanics are much more numerous than is usually believed. We show that the Schrödinger equation for a nonrelativistic spinless particle is a classical equation which is equivalent to Hamilton’s equations. Our discussion is quite general, and incorporates time-dependent systems. This gives us the opportunity of discussing the group of Hamiltonian canonical transformations which is a non-linear variant of the usual symplectic group. |
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