Schwinger, Pegg and Barnett and a relationship between angular and Cartesian quantum descriptions

Physics – Quantum Physics

Scientific paper

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7 pages, revised version, to appear on J. Phys. A: Math and Gen

Scientific paper

10.1088/0305-4470/35/7/320

From a development of an original idea due to Schwinger, it is shown that it is possible to recover, from the quantum description of a degree of freedom characterized by a finite number of states (\QTR{it}{i.e}., without classical counterpart) the usual canonical variables of position/momentum \QTR{it}{and} angle/angular momentum, relating, maybe surprisingly, the first as a limit of the later.

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