Gaussian Packet

Gaussian Packet Evolution

This applet shows the evolution of the wave function (real, imaginary and absolute value) corresponding to a free gaussian packet. In addition Bohmian particles can be included. These particles appear in Bohmian Mechanics, an interpretation of Quantum Mechanics without observers, originally proposed by Louis de Broglie and David Bohm. Each wave function has only one particle associated with it. However more particles are allowed for illustration. They are evolved following the recipe from Bohmian Mechanics.

The applet has two panels: Control and Parameters. Use the combo box below the left bottom corner of the graph to switch between them.

Control Panel:

The following adjustable variables are available:

# Bohm part. : Controls the number of Bohmian particles depicted.
Par. Dist. : Determines how the Bohmian particles are position at the initial time. Particles are distributed in a region of +/- 2 Dx, where Dx is the initial packet width. The generation can be done according to |Y||Y| (Prob) or with a flat distribution (Flat).
Plot: Select whether the real, imaginary or absolute value of the wave function is displayed. At least one of them should be selected.
Time: Sets the time units to be used.
Distance: Sets the distance units to be utilized.

Parameter Panel:

The following wave packet variables can be adjusted:

p: Momentum of the package.
Min. Dp(Dp): Minimum momentum dispersion at zero time.
Mass: Mass of the particle.
Dp Change: Maximum spread of the package compared to the minimum spread.
min Dp Position: Controls the time during the simulation when the minimum spread occurs. Varies between zero (minimum at start) and one (minimum at the end).

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For any comments concerning this applet, please send me an e-mail.