Guang yi zi xuan--bo se zi mo xing yan jiu

Yung Lit Hung.Thesis (M.Phil.)--Chinese University of Hong Kong, 1999.Includes bibliographical references (leaves p. [122]-124).Text in English; abstracts in English and Chinese.Yung Lit Hung.Abstract --- p.iAcknowledgements --- p.iiList of Figures --- p.vList of Tables --- p.viiChapter 1 --- Introduction --- p.1Chapter 2 --- Dissipative two-state system --- p.3Chapter 2.1 --- Introduction --- p.3Chapter 2.2 --- A two-state system viewed as a spin --- p.4Chapter 2.3 --- Rotation of spin operators --- p.5Chapter 2.4 --- Dissipative two state system --- p.7Chapter 2.5 --- The model in consideration --- p.8Chapter 2.5.1 --- gk= 0 --- p.8Chapter 2.5.2 --- Δ0 = 0 --- p.8Chapter 2.5.3 --- dispersionless phonon case with constant coupling --- p.10Chapter 3 --- Linearized spin-wave approximation and mean-field method --- p.13Chapter 3.1 --- Holstein Primakoff Transformation --- p.13Chapter 3.2 --- Application of linearized spin-wave approxmation to our system --- p.14Chapter 3.3 --- Mean-field method --- p.24Chapter 4 --- Variational method for optical phonons with constant coupling --- p.35Chapter 4.1 --- Introduction --- p.35Chapter 4.2 --- Variational Principle --- p.35Chapter 4.3 --- Variational Principle applied to optical phonon case --- p.36Chapter 4.4 --- Results --- p.41Chapter 4.5 --- Conclusion --- p.54Chapter 5 --- Variational method for acoustic phonons with ohmic dissipation --- p.56Chapter 5.1 --- Introduction --- p.56Chapter 5.2 --- Variational Principle applied to acoustic phonon case --- p.57Chapter 5.3 --- μk= 0 case --- p.59Chapter 5.4 --- Search for any μk≠ 0 solution --- p.60Chapter 5.5 --- Results --- p.62Chapter 5.6 --- Conclusion --- p.70Chapter 6 --- Coupled Cluster Method --- p.72Chapter 6.1 --- Introduction --- p.72Chapter 6.2 --- Coupled Cluster Method --- p.73Chapter 6.2.1 --- Zeroth Level --- p.74Chapter 6.2.2 --- First Level --- p.74Chapter 6.2.3 --- The bra-state --- p.75Chapter 6.3 --- Coupled cluster method applied to our system --- p.76Chapter 6.4 --- Coupled cluster method applied to optical phonon case --- p.78Chapter 6.4.1 --- First Level --- p.79Chapter 6.4.2 --- Second Level --- p.81Chapter 6.5 --- Coupled cluster method applied to acoustic phonon case --- p.90Chapter 6.5.1 --- First Level --- p.90Chapter 6.5.2 --- Second Level --- p.92Chapter 6.6 --- Conclusion --- p.98Chapter 7 --- Spin system interacting with a photon field --- p.99Chapter 7.1 --- Rotation wave approximation --- p.100Chapter 7.2 --- Spin system interacting with an optical field --- p.101Chapter 7.3 --- Heisenberg equation of motion --- p.102Chapter 7.4 --- Brogoliubov transformation approach --- p.104Chapter 7.5 --- Conclusion --- p.106Chapter A --- Supplementary calculations --- p.107Chapter A.1 --- First level calculation for optical photon --- p.107Chapter A.2 --- Second level calculation for optical photon --- p.111Chapter A.3 --- First level calculation for acoustic photon --- p.114Chapter A.4 --- Second level calculation for acoustic photon --- p.118Bibliography --- p.12