Path Integral Approach for Spaces of Non-constant Curvature in Three Dimensions

@inproceedings{Grosche2005PathIA,
  title={Path Integral Approach for Spaces of Non-constant Curvature in Three Dimensions},
  author={Christian Grosche},
  year={2005}
}
  • Christian Grosche
  • Published 2005
In this contribution I show that it is possible to construct three-dimensional spaces of nonconstant curvature, i.e. three-dimensional Darboux-spaces. Two-dimensional Darboux spaces have been introduced by Kalnins et al., with a path integral approach by the present author. In comparison to two dimensions, in three dimensions it is necessary to add a curvature term in the Lagrangian in order that the quantum motion can be properly defined. Once this is done, it turns out that in the two three… CONTINUE READING