Ahmedov, HDuru, IH2024-06-122024-06-1219970305-4470https://doi.org/10.1088/0305-4470/30/1/012https://hdl.handle.net/20.500.14551/25759Unitary 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 V = cosh(-2) omega 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 V = cosh(-2) omega(x - g(0)t) are also presented.en10.1088/0305-4470/30/1/012info:eu-repo/semantics/openAccess[No Keywords]Article301173184Q1WOS:A1997WG763000122-s2.0-0031556878N/A