Two-Dimensional Delta Function Potential in Quantum Mechanics

Abstract

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

Date of Award	2016 Aug 10
Original language	English
Supervisor	Su-Long Nyeo (Supervisor)