A positron e in a thin wire can be considered as if in a

A positron (e+) in a thin wire can be considered as if in a 1- dimensional infinite potential well. Consider L = 0.005 mm length of the wire;

(a) Determine the ground-state energy of a positron in such wire.

(b) If the positron's kinetic energy is 40 meV, what should be the its quantum number n corresponding to such energy?

(c) Calculate the probability of finding the particle (e+) within the interval DeltaX =0.00001 L at middle of the wire i.e. x=L/2.

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