Hamiltonian approach for the wave packet dynamics: Beyond Gaussian wave functions

Details Hamiltonian approach for the wave packet dynamics: Beyond Gaussian wave functions Hamiltonian approach for the wave packet dynamics: Beyond Gaussian wave functions

2008-06-25

arxiv.org/abs/0806.4170v1

Phys. Lett. A 373, 2215 (2009)

Physics

Quantum Physics

5 pages, 3 figures

Scientific paper

10.1016/j.physleta.2009.04.054

It is well known that the Gaussian wave packet dynamics can be written in terms of Hamilton equations in the extended phase space that is twice as large as in the corresponding classical system. We construct several generalizations of this approach that include non-Gausssian wave packets. These generalizations lead to the further extension of the phase space while retaining the Hamilton structure of the equations of motion. We compare the Gaussian dynamics with these non-Gaussian extensions for a particle with the quartic potential.

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