We now that if [A,B]=0, they have the same eigenstates. But consider a harmonic oscillator with the spring constant k1. If we change k1 to k2, then [H1,H2]=0 and the above expression implies that the eigenstates should not change while they really change!(adsbygoogle = window.adsbygoogle || []).push({});

Could you please tell me if i am wrong?

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# Commutation and eigenstates

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