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1 Lecture 3: Operators in Quantum Mechanics
... [p̂i , L̂j ] = ih̄εijk p̂k after which it is straight forward to deduce: [L̂i , L̂j ] = ih̄εijk L̂k The important conclusion from this result is that the components of angular momentum have no common eigenfunctions. Of course, we must also show that the angular momentum operators are hermitian. This ...
... [p̂i , L̂j ] = ih̄εijk p̂k after which it is straight forward to deduce: [L̂i , L̂j ] = ih̄εijk L̂k The important conclusion from this result is that the components of angular momentum have no common eigenfunctions. Of course, we must also show that the angular momentum operators are hermitian. This ...
