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Zbl 0888.22019
Tomé, Wolfgang
A representation independent propagator. II: Lie groups with square integrable representations. (English)
[J] Ann. Inst. Henri Poincaré, Phys. Théor. 65, No.2, 175-222 (1996). ISSN 0246-0211

Summary: [Part I in ibid. 63, 1-40 (1995; Zbl 0842.22025).]\par Recently a representation independent propagator has been introduced for the case of a real, compact Lie group. In this paper we prove that such a propagator can be introduced for a real, connected and simply connected Lie group with square integrable representations. Even though the configuration space is generally a curved manifold the lattice regularization for this propagator, nonetheless, corresponds to a propagator on a flat manifold.

MSC 2000:: *22E70 Appl. of Lie groups to physics
81S40 Path integrals in quantum mechanics

Keywords: representation independent propagator; real, compact Lie group; square integrable representations; curved manifold

Citations: Zbl 0842.22025

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