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Symplectic Semiclassical Wave Packet Dynamics II: Non-Gaussian States

arXiv
Authors: Tomoki Ohsawa

Year

2017

Paper ID

24546

Status

Preprint

Abstract Read

~2 min

Abstract Words

79

Citations

N/A

Abstract

We generalize our earlier work on the symplectic/Hamiltonian formulation of the dynamics of the Gaussian wave packet to non-Gaussian semiclassical wave packets. We find the symplectic forms and asymptotic expansions of the Hamiltonians associated with these semiclassical wave packets, and obtain Hamiltonian systems governing their dynamics. Numerical experiments demonstrate that the dynamics give a very good approximation to the short-time dynamics of the expectation values computed by a method based on Egorov's Theorem or the Initial Value Representation.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • We generalize our earlier work on the symplectic/Hamiltonian formulation of the dynamics of the Gaussian wave packet to non-Gaussian semiclassical wave packets.

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