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Problem 3. 1D harmonic oscillator (Griffiths book Problem 2.42) In class, we showed that the eigen energies of 1D harmonic oscillator are: $E_n = (n + frac{1}{2})hbaromega$, $n = 0, 1, 2, ...$ Start from there and find the allowed eigen energies of the half harmonic oscillator, $V(x) = egin{cases} frac{1}{2}momega^2, & x > 0\ infty, & x le 0 end{cases}$ This requires some careful thought, but very little actual computation.

          Problem 3. 1D harmonic oscillator (Griffiths book Problem 2.42)
In class, we showed that the eigen energies of 1D harmonic oscillator are:
$E_n = (n + frac{1}{2})hbaromega$, $n = 0, 1, 2, ...$
Start from there and find the allowed eigen energies of the half harmonic oscillator,
$V(x) = egin{cases} frac{1}{2}momega^2, & x > 0\ infty, & x le 0 end{cases}$
This requires some careful thought, but very little actual computation.

$Problem 3. 1D harmonic oscillator (Griffiths book Problem 2.42) In class, we showed that the eigen energies of 1D harmonic oscillator are: En = (n + frac12)hbaromega, n = 0, 1, 2, ... Start from there and find the allowed eigen energies of the half harmonic oscillator, V(x) = egincases frac12momega^2, x > 0 infty, x le 0 endcases This requires some careful thought, but very little actual computation.$

Added by Katie A.

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