TY - JOUR

T1 - Analytic results for Gaussian wave packets in four model systems

T2 - I. Visualization of the kinetic energy

AU - Robinett, R. W.

AU - Bassett, L. C.

PY - 2004/12

Y1 - 2004/12

N2 - 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 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.

AB - 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 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.

UR - http://www.scopus.com/inward/record.url?scp=14544304487&partnerID=8YFLogxK

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U2 - 10.1007/s10702-004-1117-9

DO - 10.1007/s10702-004-1117-9

M3 - Article

AN - SCOPUS:14544304487

SN - 0894-9875

VL - 17

SP - 607

EP - 625

JO - Foundations of Physics Letters

JF - Foundations of Physics Letters

IS - 7

ER -