Abstract
A new procedure to obtain unitary and irreducible representations of Lie groups starting from the cotangent bundle of the group (the cotangent group) is presented. Some applications of the construction in quantumâoptics problems are discussed. The notion of phase space of a Lie group is studied. The possibility of describing the quadrature components of a photon, in view of the Lie group phase space, is pointed out. Examples of twoâ and threeâdimensional Lie groups including HeisenbergâWeyl group are considered.
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