Finsler Geometrical Path Integral

Details Finsler Geometrical Path Integral Finsler Geometrical Path Integral

2009-04-16

arxiv.org/abs/0904.2464v2

Phys.Lett.A374:1917-1921,2010

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, 3 figures

Scientific paper

10.1016/j.physleta.2010.02.079

A new definition for the path integral is proposed in terms of Finsler geometry. The conventional Feynman's scheme for quantisation by Lagrangian formalism suffers problems due to the lack of geometrical structure of the configuration space where the path integral is defined. We propose that, by implementing the Feynman's path integral on an extended configuration space endowed with a Finsler structure, the formalism could be justified as a proper scheme for quantisation from Lagrangian only, that is, independent from Hamiltonian formalism. The scheme is coordinate free, and also a covariant framework which does not depend on the choice of time coordinate.

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