On the Path Integral in Imaginary Lobachevsky Space

Abstract

The path integral on the single-sheeted hyperboloid, i.e.\ in $D$-dimensional imaginary Lobachevsky space, is evaluated. A potential problem which we call ``Kepler-problem'', and the case of a constant magnetic field are also discussed.

16 pages, LATEX, DESY 93-140

Cited by in corpus (8)

• Central potentials on spaces of constant curvature: The Kepler problem on the two-dimensional sphere $S^2$ and the hyperbolic plane $H^2$
• The Coulomb-Oscillator Relation on n-Dimensional Spheres and Hyperboloids
• Path Integration on Darboux Spaces
• Harmonic Oscillator on the $\mathrm{SO}(2,2)$ Hyperboloid
• Kepler motion on single-sheet hyperboloid
• Path Integration on Hermitian Hyperbolic Space
• Eigenfunction expansions in the imaginary Lobachevsky space
• Path Integral Representations on the Complex Sphere