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.

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 semiclassical propagator

The Van Vleck-Morette semiclassical propagator