THE PATH INTEGRAL APPSOACH FOR SCATTERING OF TRIPLE-BARRIER

Mingquan Wang, Xuelong Zhang

PO Box

An analytical expressions of the reflection and the transmission coefficient are strictly derived by using the foundational idea of the path-ingegral for single and double-barrier.An alternative theoretical method studying the scattering of multi-barrier quantum-well structures is provided in this paper.

Гарий Владимирович Ефимов

H. Ahmedov, I. H. Duru

Unitary irreducible representation of the group SO(1,2) is obtained in the mixed basis, i.e. between the compact and noncompact basis and the new addition theorems are derived which are required in path integral applications involving the positively signed potential. The Green function for the potential barrier $V=cosh^{-2}\\omega x$ 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 $V=cosh^{-2}\\omega (x-g_0t)$ are also presented.