試題詳解

2. Which of the following statements is wrong, in regard to the physics of a 1D oscillator in the quadratic potential energy ? Let n denote the state quantum number of oscillation, with n = 0 for the ground state and n = 1, 2, for excited states.
(A) The classical ground state energy is given by E₀ = 0.
(B) Quantum energy levels {En's} are equally spaced.
(C) Oscillation frequencies are identical for classical and quantum oscillators.
(D) For large n, the quantum description approaches the classical one.
(E) The ground state wave function (Note: x_tis the classical turning point where the kinetic energy vanishes.)