# Gaussian Wave Packet in a Linear Potential Field

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This Demonstration shows the time-evolution of the wavefunction for a particle in a linear potential field (in units with ℏ=1), representing a constant external force. The initial state is a Gaussian wave packet. Only the real part of the complex wavefunction is plotted. In agreement with its classical behavior, the particle is accelerated to the left. You can also see the probability density function; quantum mechanically, the probability density function is the absolute square of the wavefunction.

Contributed by: Soobin Sinn (May 2009)

Suggested by: Mahn-Soo Choi (Korea University)

Open content licensed under CC BY-NC-SA

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detailSectionParagraph## Permanent Citation

"Gaussian Wave Packet in a Linear Potential Field"

http://demonstrations.wolfram.com/GaussianWavePacketInALinearPotentialField/

Wolfram Demonstrations Project

Published: May 28 2009