On the semiclassical treatment of anharmonic quantum oscillators via coherent states - The Toda chain revisited

Details On the semiclassical treatment of anharmonic quantum oscillators via coherent states - The Toda chain revisited On the semiclassical treatment of anharmonic quantum oscillators via coherent states - The Toda chain revisited

1998-11-26

arxiv.org/abs/cond-mat/9811371v2

J. Phys. A: Math. Gen. 32, 5823 (1999)

Physics

Condensed Matter

12 pages, some remarks added. Version to be published in J. Phys. A: Math. Gen

Scientific paper

10.1088/0305-4470/32/31/307

We use coherent states as a time-dependent variational ansatz for a semiclassical treatment of the dynamics of anharmonic quantum oscillators. In this approach the square variance of the Hamiltonian within coherent states is of particular interest. This quantity turns out to have natural interpretation with respect to time-dependent solutions of the semiclassical equations of motion. Moreover, our approach allows for an estimate of the decoherence time of a classical object due to quantum fluctuations. We illustrate our findings at the example of the Toda chain.

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