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Prove the following commutation relations
(a) [â", î] = iħnâ"-1
(b) For the ID Harmonic oscillator, show the raising and lowering operators obey the commutators:
[Ĥ‚âª] = +ħwât
[Ĥ‚ â] = -ħwâ
Transcribed Image Text:Prove the following commutation relations (a) [â", î] = iħnâ"-1 (b) For the ID Harmonic oscillator, show the raising and lowering operators obey the commutators: [Ĥ‚âª] = +ħwât [Ĥ‚ â] = -ħwâ
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The proof of commutation relations as,

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