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Mathematical Tools of Quantum Mechanics — Nouredine Zettili
Physics — Quantum Mechanics · matrix-representation-kets-bras
Problem Consider the following two kets:
∣ ψ ⟩ = ( 5 i 2 − i ) , ∣ ϕ ⟩ = ( 3 8 i − 9 i ) . |\psi\rangle = \begin{pmatrix} 5i \\ 2 \\ -i \end{pmatrix}, \qquad |\phi\rangle = \begin{pmatrix} 3 \\ 8i \\ -9i \end{pmatrix}. ∣ ψ ⟩ = 5 i 2 − i , ∣ ϕ ⟩ = 3 8 i − 9 i . ∣ ψ ⟩ ∗ |\psi\rangle^* ∣ ψ ⟩ ∗ ⟨ ψ ∣ \langle\psi| ⟨ ψ ∣ ∣ ψ ⟩ |\psi\rangle ∣ ψ ⟩ ∣ ψ ⟩ |\psi\rangle ∣ ψ ⟩ ∣ ϕ ⟩ |\phi\rangle ∣ ϕ ⟩ Browse the problem library