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Results tagged with commutator
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user 184734
A mathematical construct quantifying the difference in effect of applying two operators in two alternate successions. It is the defining product of a Lie algebra, the efficient underlying description of Lie groups, of use in several areas of physics, most notably quantum field theory.
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How to know if a set of commuting observables is complete?
We define a complete set of commuting observables as a set of observables $\{A_1,\ldots, A_n\}$ such that:
$\left[A_i, A_j\right]=0$, for every $1\leq i,~j \leq n$;
If $a_1,\ldots, a_n$ are eigenval …
