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# Help on Hamiltonian / Harmonic Oscillator watch

1. Could someone help me on these questions because the lecture notes I've got are very vague and I'm having a lot of trouble :P

2. Anyone?
3. (Original post by TomLeigh)
Could someone help me on these questions because the lecture notes I've got are very vague and I'm having a lot of trouble :P

have you got any working?
have you got any working?
Well in an example in the lecture notes they use the raising operator and just state that H(o) = E'(o) but I don't know how they achieved that.
5. (Original post by TomLeigh)
Well in an example in the lecture notes they use the raising operator and just state that H(o) = E'(o) but I don't know how they achieved that.
I think the question is asked in a bit of a weird way as my answer to the first part would include the answer to the second and third parts.

If is not the ground state then and rearrange the commutator to get an ezpression for and this gives you an expression for

If is the ground state, ie is the minimum possible, then what does do to ?

If you need a good quantum theory book I'd recomend 'An Introduction to Quantum Theory' by Keith Hannabuss which is is based on the second and third year Oxford maths Quantum theory courses.

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Updated: March 26, 2011
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