- #1
smallphi
- 441
- 2
In the creation/annihilation operator picture the Hilbert state of a quantum harmonic oscillator is spanned by the eigenstates |n> of the number operator.
I've never seen a proof that:
1. the ground state |0> is unique
2. the states |n> form a complete basis i.e. any state in that Hilbert space can be decomposed into them
Any references or explanations?
I've never seen a proof that:
1. the ground state |0> is unique
2. the states |n> form a complete basis i.e. any state in that Hilbert space can be decomposed into them
Any references or explanations?