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I am trying to use the following equation:

[tex]a\left|\psi_n\right\rangle=\sqrt{n}\left|\psi_{n-1}\right\rangle[/tex]

(where a is the "ladder operator").

What happens when I substitute [tex]\psi_n[/tex] with [tex]\psi_0[/tex]?

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# Quantum harmonic oscillator

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