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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.

1
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Everything is alright, there is no way to further simplify expressions (operators) like $|a\rangle\langle a|,|b\rangle\langle a|,|b\rangle\langle b|,|a\rangle\langle b| $. You could write linear combi …
answered Jan 24 '14 by pressure
6
votes
No, it does not! Let me give you a counterexample: Consider the Hermitian operators $\mathsf{1}$ (identity operator), $p$ (momentum) and $x$ (position) in 1D. Now, the trivial commutation relation …
answered Mar 29 '14 by pressure