Question

2. 34 points - Infinite square well a. 8 points - Using your knowledge of the solutions to the infinite square well potential from 0 to a, write the ground state solution for the same potential but with the middle of the potential at x=0. b. 8 points - Suppose a particle in this potential had (at t=0) zero probability of being found in the range ($-\frac{a}{2}$, 0) and was equally likely to be found at any position in the range (0, $\frac{a}{2}$). What is the normalization for this wave function? c. 18 points - For the initial state given in part b, calculate the amplitude of the ground state contribution.

          2. 34 points - Infinite square well
a. 8 points - Using your knowledge of the solutions to the infinite square
well potential from 0 to a, write the ground state solution for the
same potential but with the middle of the potential at x=0.
b. 8 points - Suppose a particle in this potential had (at t=0) zero
probability of being found in the range ($-\frac{a}{2}$, 0) and was equally likely
to be found at any position in the range (0, $\frac{a}{2}$). What is the
normalization for this wave function?
c. 18 points - For the initial state given in part b, calculate the amplitude
of the ground state contribution.

2. 34 points - Infinite square well
a. 8 points - Using your knowledge of the solutions to the infinite square
well potential from 0 to a, write the ground state solution for the
same potential but with the middle of the potential at x=0.
b. 8 points - Suppose a particle in this potential had (at t=0) zero
probability of being found in the range (-(a)/(2), 0) and was equally likely
to be found at any position in the range (0, (a)/(2)). What is the
normalization for this wave function?
c. 18 points - For the initial state given in part b, calculate the amplitude
of the ground state contribution.

Added by Michael S.

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