21 research outputs found
On the semiclassical treatment of anharmonic quantum oscillators via coherent states - The Toda chain revisited
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.Comment: 12 pages, some remarks added. Version to be published in J. Phys. A:
Math. Ge