Scattering from the potential barrier from the path integration over
Open Access
- 1 January 1997
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 30 (1) , 173-184
- https://doi.org/10.1088/0305-4470/30/1/012
Abstract
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.Keywords
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