Physics · Quantum Mechanics

Consider a two-level quantum system described by the Hamiltonian H = H0 + H', where H0 = α2 × σ0 + ω × σz and H' = εΓ × σx (using standard Pauli matrices, with σ0 as the identity matrix). Here ε is a small positive dimensionless parameter, while α, ω, and Γ are positive constants with dimensions of energy. If treated perturbatively in ε, which statement about the energy corrections to the ground state is true?