Geometrical Aspects of Lie Groups Representations and Their Optical Applications

J. Guerrero; V. I. Manko; G. Marmo; A. Simoni

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Geometrical Aspects of Lie Groups Representations and Their Optical Applications

J. Guerrero·V. I. Manko·G. Marmo·A. Simoni

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Abstract

In this paper we present a new procedure to obtain unitary and irreducible representations of Lie groups starting from the cotangent bundle of the group (the cotangent group). We discuss some applications of the construction in quantum-optics problems.

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J. Guerrero, V. I. Manko, G. Marmo, A. Simoni. 2001-12-12. Geometrical Aspects of Lie Groups Representations and Their Optical Applications. https://arxiv.org/abs/quant-ph/0112069

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