The SU(1,1) Propagator as a Path Integral Over Noncompact Groups

Junker, G.; Bohm, M.

doi:10.1016/0375-9601(86)90001-0

The SU(1,1) Propagator as a Path Integral Over Noncompact Groups

G. Junker
(
- Wurzburg U.
)
,
M. Bohm
(
- Wurzburg U.
)

Jun 17, 1986

8 pages

Published in:

Phys.Lett.A 117 (1986) 375-380

DOI:

10.1016/0375-9601(86)90001-0

Report number:

Print-86-0851 (WURZBURG)

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Abstract: (Elsevier)

The path integral on a noncompact group manifold is constructed. Using the Fourier decomposition on SU(1, 1) the corresponding propagator is calculated. An application is made for the modified Pöschl-Teller potential, where the energy eigenvalues and the normalized wavefunctions of bound and scattering states are found simultaneously.