Using Gaussian wave packet solutions, we examine how the kinetic energy is distributed in time-dependent solutions of the Schrödinger equation corresponding to the cases of a free particle, a particle under-going uniform acceleration, a particle in a harmonic oscillator potential, and a system corresponding to all unstable equilibrium. We find, for specific choices of initial parameters, that as much as 90° of the kinetic energy can be localized (at least conceptually) in the ‘front half’ of such Gaussian wave packets, and we visualize these effects.
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Robinett, R., Bassett, L. Analytic Results for Gaussian Wave Packets in Four Model Systems: I. Visualization of the Kinetic Energy. Found Phys Lett 17, 607–625 (2004). https://doi.org/10.1007/s10702-004-1117-9
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DOI: https://doi.org/10.1007/s10702-004-1117-9