Abstract
We examine an extension to the theory of Gaussian wavepacket dynamicsina one-dimensional potential by means of a sequence of time-dependentdisplacement and squeezing transformations. Exact expressions for thequantum dynamics are found, and relationships are explored between thesqueezed system, Gaussian wavepacket dynamics, the time-dependentharmonic oscillator, and wavepacket dynamics in a Gauss-Hermitebasis. Expressions are given for the matrix elements of the potential insome simple cases. Several examples are given, including the propagationof a non-Gaussian initial state in a Morse potential.
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