Time Evolution of a free particle with
an initial wavefunction resulting in a Gaussian probability density
(black) for finding the particle in space. The wavefunction itself
is complex, and its real part is shown in red. The probability
density at a slightly later time is shown in gold, indicating that
the particle is moving to the right. However, the probability density
broadens as it moves to the right, making the particle less localized
as time increases. Image generated by the program
freewavepacket.R.
Papers
Books
 Prof. Richard Fitzpatrick's Teaching Page provides free downloadable texts in intermediate and graduate quantum mechanics, as well as for other physics courses.
Related Software

freewavepacket.R Evolution of a Free Particle Wavepacket

qm4.4th Properties of Eigenfunctions and Operators
 qm6.R
Pauli Spin Matrices, Spinors, and Measurement Probabilities
qm6.4th Forth version
 qm8.4th Bloch Equations, Rabi Oscillations, and Inversion in a TwoLevel System