Eigenvalues/functions for hamiltonian in 1D harmonic oscillator

  • Thread starter Csuiter
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  • #1
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Homework Statement


Find the eigenvalues and eigenfunctions of H[tex]\hat{}[/tex] for a 1D harmonic oscillator system with V(x) = infinity for x<0, V(x) = 1/2kx^2 for x > or equal to 0.

Homework Equations





The Attempt at a Solution


I think the hamiltonian is equal to the potential + kinetic energy. I am pretty confused right now. I do ok in class but I had to miss a few days and I am lost.
 

Answers and Replies

  • #2
diazona
Homework Helper
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To start with: do you know how to find the eigenvalues and eigenfunctions of the regular harmonic oscillator, which has a potential
[tex]V(x) = \frac{1}{2}kx^2[/tex]
for all x (less than, greater than, and equal to zero)? If not, you really need to learn that first.
 

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