True or false?
(a) In the classically forbidden region, E > V for a stationary state.
(b) If the harmonic-oscillator wave function ψv is an even function, then ψv+1 is an odd function.
(c) For harmonic-oscillator wave functions, ∫∞-∞ ψ*v(x) ψv+1 (x) dx = 0.
(d) At a node in a bound stationary-state wave function, c must be zero provided V is not infinite at the node.
(e) The spacing between adjacent vibrational levels of a diatomic molecule remains constant as the vibrational energy increases.
(f) For the v = 25 harmonic-oscillator wave function, the sign of ψ in the right-hand classically forbidden region is opposite the sign in the left-hand classically forbidden region.
(g) The number of peaks in the graph of the harmonic-oscillator |ψv|2 equals v + 1, where v is the quantum number.