Consider a particle of mass m in the one-dimensional infinite square well potential V(x) = +∞ {x < - L and x > L} V(x) = 0 {−L
Consider a particle of mass m in the one-dimensional infinite square well potential V(x) = +∞ {x < - L and x > L} V(x) = 0 {−L
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Transcribed Image Text:3. Consider a particle of mass m in the one-dimensional infinite square well potential
V(x) = +∞ {x < - L and x > L}
V(x) = 0 {-L<x<L}
(a) Write down all the normalized stationary state wavefunctions y(x) in terms of L and also the
corresponding energies (you may either rewrite those already shown in Griffiths, or derive
them directly by solving the Schrodinger equation).
(b) For the odd wavefunctions, ¥(x) = - 4(-x), calculate the spatial uncertainty Ax = Ox and the
momentum uncertainty Ap = op and then verify that the uncertainty principle is satisfied.
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We will answer the question by solving time independent schrodinger equation. The detailed steps are as follows.
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