- #1
Buggy Virus
- 2
- 0
Hey, I just had a quick question about using hamiltonians to determine energy levels.
I know that the eigenvalue of the hamiltonian applied to an eigenket is an energy level.
H |a> = E |a>
But my question is if I am given an equation for a specific Hamiltonian:
H = (something arbitrary)
And asked to find the energy levels of the object I am given that hamiltonian for (say a molecule or a particle) and no other information, what strategy do I use?
If the Hamiltonian is comprised of angular momentum operators, can I just say my object is an arbitrary eigenket = |n, l, m> and find the general eigenvalue of when my hamiltonian is applied to that?
I know that the eigenvalue of the hamiltonian applied to an eigenket is an energy level.
H |a> = E |a>
But my question is if I am given an equation for a specific Hamiltonian:
H = (something arbitrary)
And asked to find the energy levels of the object I am given that hamiltonian for (say a molecule or a particle) and no other information, what strategy do I use?
If the Hamiltonian is comprised of angular momentum operators, can I just say my object is an arbitrary eigenket = |n, l, m> and find the general eigenvalue of when my hamiltonian is applied to that?