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

Abstract

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.

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

References in corpus (1)

• Schwinger, Pegg and Barnett approaches and a relationship between angular and Cartesian quantum descriptions II: Phase Spaces

Cited by in corpus (7)

• Superintegrability of Geodesic Motion on the Sausage Model
• General phase spaces: from discrete variables to rotor and continuum limits
• Extended Cahill and Glauber formalism for finite dimensional spaces II. Applications in quantum tomography and quantum teleportation
• Discrete squeezed states for finite-dimensional spaces
• Schwinger, Pegg and Barnett approaches and a relationship between angular and Cartesian quantum descriptions II: Phase Spaces
• From the discrete Weyl -- Wigner formalism for symmetric ordering to a number -- phase Wigner function
• First considerations on the generalized uncertainty principle for finite-dimensional discrete phase spaces