Having trouble understanding how to normalize equations so a step by step answer would be appreciated...
We study the vibrations in a diatomic molecule with the reduced mass m. Let x = R − Re, which is the bonding distance deviation from equilibrium distance. Hamiltonian operator consist of two parts: H = H(0) + H(1), where H(0) is the Hamiltonian operator to a harmonic oscillator with force constant k, and H(1) = λx3 (λ is a constant < 0). * Calculate the first order correction to the energy state v.