Imagine we have two operators A and B on a complex hilbert space H such that:(adsbygoogle = window.adsbygoogle || []).push({});

[itex]

[A,B] \psi = (AB-BA) \psi=c \psi \ \ \ \ \psi \epsilon H \mbox{ and } c \epsilon C

[/itex]

Then can we say that [A,B] is the same as cI when I is the identity operator?Why?

Thanks

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# Equality of operators

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