The stationary state wave function for a one-dimensional system of hard sphere particles in a box is known to be a determinantal combination of single particle wave functions. The time-dependent wave function corresponding to a certain class of initially prepared states is shown to be a determinantal combination of single particle time-dependent wave functions. The motion of the center of gravity of such a system of particles is especially simple.
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Robert J. Rubin (1955) studied this question.
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