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Normalization of the Wave Function Consider a particle moving in one dimension which we shall call the x-axis.

(a) What does it mean for the wave function of this particle to be normalized?

(b) Is the wave function ψ (x) = eax, where a is a positive real number, normalized? Could this be a valid wave function?

(c) If the particle described by the wave function ψ (x) = Aebx, where A and b are positive real numbers, is confined to the range x > 0, determine A (including its units) so that the wave function is normalized.

(a) What does it mean for the wave function of this particle to be normalized?

(b) Is the wave function ψ (x) = eax, where a is a positive real number, normalized? Could this be a valid wave function?

(c) If the particle described by the wave function ψ (x) = Aebx, where A and b are positive real numbers, is confined to the range x > 0, determine A (including its units) so that the wave function is normalized.

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