Consider ps1n(x) which is a solution to the quantum harmonic oscillator Schrodin

Question

Consider ps1n(x) which is a solution to the quantum harmonic oscillator Schrodinger equation in the nth state. Which of the following statements is false? psi n(x) is an energy eigenstate of the harmonic oscillator potential. psi n(x) is an eigenstate of a+a-, successive lowering and raising operators, with eigenvalue n. The energy eigenvalue for psin(x) is (n + 1/2)hw. psi n is in an eigenstate of the operator (a-a+), successive raising and lowering operators, with eigenvalue n. psi n is in a stationary state.

Explanation / Answer

option [ a] is correct.

(x) is energy eigen value. it is not energy eigenstate of harmonic oscillator potential.

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