Given an infinite well of length 0 to L, and an initial wavefunction which is a tent shaped (triangle) with a value rising from zero at x=0 to some maximum value at x=L/2 (midpoint) and then descending with equal, but opposite slope back to zero at x=L
Given an infinite well of length 0 to L, and an initial wavefunction which is a
tent shaped (triangle) with a value rising from zero at x=0 to
some maximum value at x=L/2 (midpoint) and then descending with
equal, but opposite slope back to zero at x=L. The slope is positive a when
0 < x < L/2 and negative a when L/2 < x < L.
(A) write an equation (or more if you need to) for the wavefunction with a single normalization constant,
A.
(B) find A via normalization.
(C) find the probability of a measurement of energy finding the value of the ground state energy.
(D) find the probability of a measurement of energy finding the value of the first excided
state energy. These eigenenergies are those of the infinite well,
and you’ll need the corresponding eigenfunctions.
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