Show that the SE conserves probability: ⟨ψ(0)∣ψ(0)⟩=⟨ψ(t)∣ψ(t)⟩. What properties of the Hamiltonian operator does it imply? What property of the Hamiltonian operator ensures the conservation of probability?
A) Hermiticity
B) Linearity
C) Unitarity
D) Commutativity