The k = 0 state of the quantum mechanical free particle can be considered a state with a zero point energy equal to zero. the zero point energy of the particle in a box is not zero. what changes can you make to the particle in a box so that it approaches the free particle behavior? you are not allowed the trivial choice to remove the walls of the box. justify your answer with appropriate equations or formulae. this discuss in terms of the quantum classical correspondence principle.
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