Show that if we act with a- operator (Defined in class) on an eigenstate of Harmonic Oscillator Hamiltonian with energy E, the result is another eigen state of Hamiltonian with energy E-hbar W where hbar is the Plank’s constant and W is the frequency of the Harmonic Oscillator.

Show that if we act with a- operator (Defined in class) on an eigenstate of Harmonic Oscillator Hamiltonian with energy E, the result is another eigen state of Hamiltonian with energy E-hbar W where hbar is the Plank’s constant and W is the frequency of the Harmonic Oscillator.

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