In time-dependent non-degenerate perturbation theory, the first-order correction to the energy of a quantum system due to a time-dependent perturbing Hamiltonian H′(t) is given by:OPTIONS ΔE1​=ℏ⟨Ψn​(0)∣H′(t)∣Ψn​(t)⟩​ ΔE1​=⟨Ψn​(0)∣H′(t)∣Ψn​(0)⟩ ΔE1​=ℏ⟨Ψn​(0)∣H′(t)​ ΔE1​=ℏ⟨Ψn​(0)∣H′(t)∣Ψn​(0)⟩​

In time-dependent perturbation theory, which of the following terms represents the interaction between the unperturbed Hamiltonian and the perturbing Hamiltonian?OPTIONS Zeroth-order term First-order term None of the above Second-order term

What is the key assumption in time-dependent perturbation theory?OPTIONS The perturbing Hamiltonian is large compared to the unperturbed Hamiltonian. The perturbing Hamiltonian is time-independent. The perturbing Hamiltonian is diagonal. The perturbing Hamiltonian is small compared to the unperturbed Hamiltonian.

Write the Schrodinger equation for zero order approximation of perturbation theory.

Which term in the perturbation series represents the unperturbed solution to the system?OPTIONS ∣​Ψ(2)(t)⟩ ∣​Ψ(0)(t)⟩ ∣​Ψ(t)⟩ ∣​Ψ(1)(t)⟩

Write the Schrodinger equation for third order approximation of perturbation theory