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Semiclassical quantum mechanics (1980)

Hagedorn, G. A.

Springer

Communications in mathematical physics 71 (1980), S. 77-93

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ISSN: 1432-0916

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics , Physics

Notes: Abstract We consider the ℏ→0 limit of the quantum dynamics generated by the HamiltonianH(ℏ)=−(ℏ2/2m)Δ+V. We prove that the evolution of certain Gaussian states is determined asymptotically as ℏ→0 by classical mechanics. For suitable potentialsV inn≧3 dimensions, our estimates are uniform in time and our results hold for scattering theory.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01230088

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