Abstract
In quantum mechanics theory one of the basic operator orderings is Q - P and P - Q ordering, where Q and P are the coordinate operator and the momentum operator, respectively. We derive some new fundamental operator identities about their mutual reordering. The technique of integration within Q - P ordering and P - Q ordering is introduced. The Q - P ordered and P - Q ordered formulas of the Wigner operator are also deduced which makes arranging the operators in either Q - P or P - Q ordering much more convenient.
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Fan, H. New fundamental quantum mechanical operator-ordering identities for the coordinate and momentum operators. Sci. China Phys. Mech. Astron. 55, 762–766 (2012). https://doi.org/10.1007/s11433-012-4699-4
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DOI: https://doi.org/10.1007/s11433-012-4699-4