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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.

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Symmetrization of operators in Quantum Mechanics

When writing the quantum Hamiltonian from a classical hamiltonian, we cannot simply replace position and momentum variables with their respective operators. We have to make sure that the resultant Ham …
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