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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2011 Volume 23, Number 2, Pages 41–52 (Mi mm3072)

This article is cited in 3 papers

Simulation of quantum dynamics of wave packet in semiclassical limit

K. S. Arakelov

Lomonosov Moscow State University

Abstract: The new algorithm for modeling of quantum dynamics of wave packets in semiclassical limit was formulated and justified. The algorithm is valid in the case of two-particle systems and in the case of single particle in any arbitrary central potential. The profile of wave packet depending on time for single wave packet evolving in 1D Morse potential was obtained in the direct computer simulations using new algorithm. The results were compared with calculation which was previously performed using IVR method.

Keywords: numerical simulation, quantum dynamics, quantum wave packet, semiclassical limit, Morse potential.

Received: 17.05.2010


 English version:
Mathematical Models and Computer Simulations, 2011, 3:5, 629–636

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© Steklov Math. Inst. of RAS, 2026