Scattering from the Potential Barrier V = Cosh Ωx from the Path Integration over So(1,2)
نویسنده
چکیده
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 ωx 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 ω(x − g 0 t) are also presented.
منابع مشابه
Spectral Sequence Notes: Finiteness of homotopy groups
X Assume that X is locally finite, and let i ≥ 2 be the first dimension in which X has non-zero reduced homology. Then ΩX is i− 2 connected and Hi−1(ΩX) = πi−1(ΩX) = πi(X) = Hi(X) by using the Hurewicz theorem together with the shift in homotopy corresponding to Ω. So Hi−1(ΩX) is finitely generated. We will do induction, and this serves as our base space. [You might be worried about the case i ...
متن کاملEffective strategies for the establishment of integration model for succession planning and career progression path of iranian azad universities administrators (Qualitative Research Based Grounded Theory Approach)
• AbstractThis research was done to provide effective strategies for the establishment of integration model for succession planning and career progression path of azad universities administrators from the perspective of higher education administrators and professionals based on the systematic theoretical design of Strauss and Corbin grounded theory. Accordingly, using a targeted sampling method...
متن کاملScattering of a two skyrmion configuration on potential holes or barriers in a model Landau-Lifshitz equation
The dynamics of a baby skyrmion configuration, in a model Landau-Lifshitz equation, was studied in the presence of various potential obstructions. The baby skyrmion configuration was constructed from two Q = 1 hedgehog solutions to the baby skyrme model in (2+1)dimensions. The potential obstructions were created by introducing a new term into the Lagrangian which resulted in a localised inhomog...
متن کاملGroundwater Potential Mapping Using the Integration of the Weight of Evidence and Logistic Regression Models (A Case Study: Nahavand)
Today, supplying water to meet the sustainable development goals is one of the most important concerns and challenges in most countries. Therefore, identification of the areas with groundwater potential is an important tool for conservation, management and exploitation of water resources. The purpose of this research was to prepare the potential groundwater map in Nahavand, Hamedan Province, us...
متن کاملNimodipine-Loaded Pluronic Block Copolymer Micelles: Preparation, Characterization, In Vitro and In Vivo Studies
Nimodipine (NM), as a lipophilic calcium channel blocker indicated for the prevention and treatment of neurological disorders, suffers from an extensive first pass metabolism, resulting in low oral bioavailability. Polymeric micelles, self-assembled from amphiphilic polymers, have a core-shell structure which makes them unique nano-carriers with excellent performance as drug delivery. This inve...
متن کامل