A Variational method for excited states =: Yi ge chu li ji tai de bian fen fa.

by Chan Kwan Leung.Parallel title in Chinese characters.Thesis (M.Phil.)--Chinese University of Hong Kong, 1992.Includes bibliographical references (leaves 168-169).by Chan Kwan Leung.Acknowledgement --- p.iAbstract --- p.iiChapter 1. --- IntroductionChapter 1.1 --- Objective of our variational method --- p.2Chapter 1.2 --- Outline of the content --- p.5Chapter 2. --- Formulation of the new variational methodChapter 2.1 --- Formulation --- p.14Chapter 2.2 --- Motivation --- p.15Chapter 3. --- The variational method applied to the anharmonic oscillator problemChapter 3.1 --- Formalism --- p.18Chapter 3.2 --- Relationship with usual variational method --- p.32Chapter 3.3 --- Relationship with W.K.B. approximation --- p.37Chapter 3.4 --- Perturbative corrections --- p.45Chapter 3.5 --- Diagonalization of non-orthogonal basis --- p.57Chapter 3.6 --- Perturbative corrections using the non-orthogonal basis --- p.72Chapter 3.7 --- Some previous works on the anharmonic oscillator problem --- p.85Chapter 4. --- The variational method applied to the helium-like atomic problemChapter 4.1 --- Previous work on the problem --- p.90Chapter 4.2 --- Formulation of the variational method on the problem --- p.95Chapter 4.3 --- Zeroth order results for atomic helium --- p.103Chapter 4.4 --- Diagonalization using the non-orthogonal basis --- p.109Chapter 4.5 --- Results for some helium-like ions --- p.136Chapter 4.6 --- Possibility of generalization to systems with more electrons --- p.140Chapter 5 --- Concluding remarksChapter 5.1 --- Range of applicability of our variational method --- p.164Chapter 5.2 --- Ground state problem --- p.165Chapter 5.3 --- Completeness of our 'basis' --- p.166References --- p.16