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

Schliemann, John ; Mertens, Franz G.



Abstract

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 a natural interpretation with respect to time-dependent solutions of the semiclassical equations of motion. Moreover, ...

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