Path Integral Quantization and Riemannian-Symplectic Manifolds
Shabanov, Sergei V. ; Klauder, John R.
arXiv, 9805014 / Harvested from arXiv
Text on arXiv
We develop a mathematically well-defined path integral formalism for general symplectic manifolds. We argue that in order to make a path integral quantization covariant under general coordinate transformations on the phase space and involve a genuine functional measure that is both finite and countably additive, the phase space manifold should be equipped with a Riemannian structure (metric). A suitable method to calculate the metric is also proposed.
Publié le : 1998-05-06
Classification:  Quantum Physics,  High Energy Physics - Theory,  Mathematical Physics 
@article{9805014,
     author = {Shabanov, Sergei V. and Klauder, John R.},
     title = {Path Integral Quantization and Riemannian-Symplectic Manifolds},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9805014}
}

Shabanov, Sergei V.; Klauder, John R. Path Integral Quantization and Riemannian-Symplectic Manifolds. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9805014/