Quantum Mechanics - Theory of Scattering : Method of Partial Waves - An Introduction скачать в хорошем качестве

Quantum Mechanics - Theory of Scattering : Method of Partial Waves - An Introduction

Partial Wave Analysis is a most powerful method for the scattering problem. A brief introduction to this method has been provided. The method of partial waves can be applied when the potential is central and is of finite range. The method is really useful when the energy of the incident particles is rather low. For spherically symmetric or central potential, the angular momentum of the scattered particles is a constant of motion,therefore it is advantageous to develop solution in terms of angular momentum eigen functions. The angular momentum contained in a plane wave vary from zero to infinity. It is possible,therefore, to analyze a plane wave into an infinite number of components each of which corresponds to a definite angular momentum. Each of such components is called a Partial Wave and the process of decomposing a plane wave into the partial waves is referred to as Partial Wave Analysis. A brief summary of the Spherical Bessel Functions has been provided,which is necessary to understand the concept of scattering problems.