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