Variational principle and description of quantum dynamics by trajectories
of coupled classical and quantum variables

Dmitry Shalashilin

University of Leeds, School of Chemistry, Leeds, U.K.

This talk will show how several forms of equations for quantum propagation based on Frozen Gaussian basis sets can be derived from a variational principle in Lagrangian form. Among them are the known methods of Coupled Coherent States (CCS) and Gaussian-based Multiconfigurational Time Dependent Hartree (G-MCTDH), as well as a new approach named as Coupled Coherent States Trajectories (CCST). A remarkable feature of the present work is that classical motion and oscillations of quantum amplitudes are treated on the same footing.

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