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.