Semiclassical propagators#
The Van Vleck-Morette single-trajectory propagator, the Maslov index’s topological caustic-counting correction, and the Herman-Kluk multi-trajectory frozen-Gaussian propagator, each checked against exact quantum evolution of the harmonic oscillator, and the Van Vleck-Morette propagator in an anharmonic well, where it is only approximate; Heller’s thawed Gaussian, and its use to compute absorption spectra from short-time wavepacket dynamics.
Heller’s time-dependent spectroscopy: absorption bands from short-time dynamics
Heller's time-dependent spectroscopy: absorption bands from short-time dynamics
Herman-Kluk frozen-Gaussian wavepacket propagation
Herman-Kluk frozen-Gaussian wavepacket propagation
The Maslov index: caustics and Keller’s quantization condition
The Maslov index: caustics and Keller's quantization condition
The Van Vleck-Morette propagator beyond quadratic potentials
The Van Vleck-Morette propagator beyond quadratic potentials