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Analytic results for Gaussian wave packets in four model systems: I. Visualization of the kinetic energy

R. W. Robinett·L. C. Bassett
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Abstract

Using Gaussian wave packet solutions, we examine how the kinetic energy is distributed in time-dependent solutions of the Schrodinger equation corresponding to the cases of a free particle, a particle undergoing uniform acceleration, a particle in a harmonic oscillator potential, and a system corresponding to an 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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R. W. Robinett, L. C. Bassett. 2004-08-06. Analytic results for Gaussian wave packets in four model systems: I. Visualization of the kinetic energy. https://doi.org/10.1007/s10702-004-1117-9

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