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A free particle of mass m moves in one-dimensional space in the interval 0 x with energy E. There is a rigid wall at x

A free particle of mass m moves in one-dimensional space in the interval 0 x with energy E. There is a rigid wall at x = 0, which has an infinite potential energy. Write down a time-independent wavefunction (x) which satisfies these conditions in terms of x and k, where k is the wave vector of the motion. State the relation between k and E for this wavefunction. (b) Show explicitly that the wavef

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