dorsal/arxiv
View SchemaAnalytic results for Gaussian wave packets in four model systems: I. Visualization of the kinetic energy
| Authors | R. W. Robinett, L. C. Bassett |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0408049 |
| URL | https://arxiv.org/abs/quant-ph/0408049 |
| DOI | 10.1007/s10702-004-1117-9 |
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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"abstract": "Using Gaussian wave packet solutions, we examine how the kinetic energy is\ndistributed in time-dependent solutions of the Schrodinger equation\ncorresponding to the cases of a free particle, a particle undergoing uniform\nacceleration, a particle in a harmonic oscillator potential, and a system\ncorresponding to an unstable equilibrium. We find, for specific choices of\ninitial parameters, that as much as 90% of the kinetic energy can be localized\n(at least conceptually) in the `front half\u0027 of such Gaussian wave packets, and\nwe visualize these effects.",
"arxiv_id": "quant-ph/0408049",
"authors": [
"R. W. Robinett",
"L. C. Bassett"
],
"categories": [
"quant-ph"
],
"doi": "10.1007/s10702-004-1117-9",
"title": "Analytic results for Gaussian wave packets in four model systems: I. Visualization of the kinetic energy",
"url": "https://arxiv.org/abs/quant-ph/0408049"
},
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