QUANTUM PHYSICS QUESTION Consider a particle in an infinite square well whose wave function is given by v(x) = 4x(a²-x²), 0
QUANTUM PHYSICS QUESTION Consider a particle in an infinite square well whose wave function is given by v(x) = 4x(a²-x²), 0
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QUANTUM PHYSICS QUESTION
Consider a particle in an infinite square well whose wave function is given by
v(x) = | 4x (a² = x²),
Ax(a²-x²), 0<x<a,
elsewhere,
0₁
where A is a real constant.
(a) Find A so that y(x) is normalized.
(b) Calculate the position and momentum uncertainties, Ax and Ap, and the product Ax Ap.
(c) Calculate the probability of finding 5²²h²/(2ma²) for a measurement of the energy.
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