Quantum States

Definition

Quantum States are characterized by a state vector, ket $ψ$ , $| ψ ⟩ \in E$ .

$\mathcal{E}⊂ L² ⊂ $ Hilbert spaces.

Coefficients for $| ψ ⟩$ in a basis ${| φ_{n} ⟩}$ are $c_{m} = ⟨ φ_{m} | ψ ⟩$ .