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A Gedanken experiment is described to explore a counter-intuitive property ofquantum mechanics. A particle is placed in a one-dimensional infinite well. Thebarrier on one side of the well is suddenly removed and the chamberdramatically enlarged. At specific, periodically recurring, times the particlecan be found with probability one at the opposite end of the enlarged chamberin an interval of the same size as the initial well. With the help of symmetryconsiderations these times are calculated and shown to be dependent on the massof the particle and the size of the enlarged chamber. Parameter ranges aregiven, where the non-relativistic nature of standard quantum mechanics becomesparticularly apparent.

Particle in infinite potential well with variable walls