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An electron in a wire can be considered as if in one-dimensional infinite potential well. Consider L=0.1 mm long wire;

(a) Calculate the ground-sate energy of an electron in such a wire.

(b) If the electrons kinetic energy is 30 meV (almost equal to energy of a gas molecule at T300 K), what will be the electron?s quantum number n corresponding to that energy?

(c) What will be probability of finding electronic within the interval ΔX =0.001L at middle of the wire i.e. x=L/2. Given that wave function Ψn(x) = √2/LsinnΠx/L where n = 1, 2, 3, 4...

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