H Ahmedov and I H Duru 1997 J. Phys. A: Math. Gen. 30 173 doi:10.1088/0305-4470/30/1/012
Scattering from the potential barrier 
from the path integration over 
H Ahmedov
and I H Duru,
Unitary irreducible representation of the group SO(1,2) is obtained in the mixed basis, i.e. between the compact and non-compact bases, and new addition theorems are derived which are required in path integral applications involving a positively signed potential. The Green function for the potential barrier 
is evaluated from the path integration over the coset space SO(1,2)/K where K is the compact subgroup. The transition and the reflection coefficients are given. Results for the moving barrier 
are also presented.
- PACS
- MSC
-
81S40 Path integrals (See also 58D30)
20Cxx Representation theory of groups (See also 19A22 (for representation rings and Burnside rings))
- Subjects
- Dates
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Issue 1 (7 January 1997)
Received 19 April 1996, in final form 10 September 1996
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Scattering from the potential barrier from the path integration over
H Ahmedov and I H Duru 1997 J. Phys. A: Math. Gen. 30 173
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