Integrability, Coordinate Systems, and Separation of Variables in Path Integrals

Details Integrability, Coordinate Systems, and Separation of Variables in Path Integrals Integrability, Coordinate Systems, and Separation of Variables in Path Integrals

1997-11-17

arxiv.org/abs/hep-th/9711118v1

Phys.Atom.Nucl. 61 (1998) 1726-1731; Yad.Fiz. 61 (1998) 1840-1845

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, Latex; Contribution to the Proceedings of the VIII. International Conference on Symmetry Methods in Physics, July 28

Scientific paper

In this contribution I summarize the achievements of separation of variables
in integrable quantum systems from the point of view of path integrals. This
includes the free motion on homogeneous spaces, and motion subject to a
potential force, and I would like to propose systematic investigations of
parametric coordinate systems on homogeneous spaces.

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