Two-Dimensional Delta Function Potential in Quantum Mechanics

• Main Authors: Kok-AnnWong, 王國安
• Other Authors: Su-Long Nyeo
• Format: Others
• Language: en_US
• Published: 2016
• Online Access: http://ndltd.ncl.edu.tw/handle/y887mj

碩士 === 國立成功大學 === 物理學系 === 104 === One-dimensional Dirac delta potential has been widely considered in quantum mechanicstextbooks. The system has only one bound state and its scttering state the wave function is continuous and finite. However, in higher dimensions, the bound state energy is infinite, and the scattered wave is undetermined at the origin. In this thesis, we apply differential regularization to two-dimensional Dirac delta potential to obtain the ground state energy, the scattering amplitude, the differential scattering cross section and the zeroth partial wave shift. Finally, we compare our result with other regularization methods such as real space regularization and generalized uncertainty relation.