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International conference "QP 34 – Quantum Probability and Related Topics"
September 19, 2013 12:00, Moscow, Steklov Mathematical Institute of RAS
 


Semiclassical description of collapses and revivals of quantum wave packets in bounded domains

A. S. Trushechkin

Steklov Mathematical Institute of the Russian Academy of Sciences
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A. S. Trushechkin


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Abstract: We study various large time semiclassical limits of quantum evolution on a circle and in a box (infinite potential well with hard walls) as the Planck constant tends to zero and time tends to infinity. The results give detailed information about all stages of evolution of quantum wave packets: semiclassical motion, collapses, revivals, as well as intermediate stages. In particular, we rigorously justify the fact that the spatial distribution of a wave packet is most of the time close to uniform. This fact was previously known only from numerical calculations.

Language: English

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