hello....this might look very stupid but I am totally confused...........(adsbygoogle = window.adsbygoogle || []).push({});

Let have operators A, B, C. Let [A,B]=[A,C]=0 and [B,C] not 0...

When two operators commute, they have the same base in (Hilbert) space.

So base in A representation is the same as in the B representation and also

the basis in A and C representations are the same.

But if B and C do not commute, their basis are different.

There has to be a fatal error in here

thanx:tongue:

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Commuting operators

**Physics Forums | Science Articles, Homework Help, Discussion**