Abstract
The hydrodynamic formulation of quantum mechanics leads to an attractive approach for solving the Schrodinger time-dependent wave equation. An initial wavepacket is discretized into an ensemble of fluid elements and equations of motion are integrated to find the probability density and action function (wavefunction phase) along the trajectories followed by the fluid elements. Fluid elements propagating along the quantum trajectories are correlated with each other through the nonlocal Bohm quantum potential. These equations of motion are integrated in the Lagrangian picture of fluid motion. The equations of motion are reviewed and then the following four applications are described: barrier tunneling and above barrier reflection; electronic nonadiabiatic processes, multi-mode system-bath dynamics, and the suppression of quantum interference (the process known as decoherence).
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Wyatt, R.E. (2002). Recent Applications of the Quantum Trajectory Method. In: Mohan, M. (eds) Current Developments in Atomic, Molecular, and Chemical Physics with Applications. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-0115-2_12
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DOI: https://doi.org/10.1007/978-1-4615-0115-2_12
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