Yi wei fei xian xing Kelaiyin--Kedeng xi tong re li xue te xing zhi yan jiu

Lee Joy Yan Agatha.Thesis (M.Phil.)--Chinese University of Hong Kong, 1999.Includes bibliographical references (leaves [112]-114).Text in English; abstracts in English and Chinese.Lee Joy Yan Agatha.Abstract --- p.iiAcknowledgement --- p.iiiContents --- p.ivList of Figures --- p.viiiList of Tables --- p.xiiChapter Chapter 1. --- Introduction --- p.1Chapter Chapter 2. --- The Transfer Integral Equation Method --- p.3Chapter 2.1 --- The System --- p.3Chapter 2.1.1 --- The Hamiltonian --- p.4Chapter 2.1.2 --- The length parameter --- p.5Chapter 2.1.3 --- The temperature parameter --- p.5Chapter 2.2 --- The Transfer Integral Equation --- p.6Chapter 2.2.1 --- The partition function --- p.6Chapter 2.2.2 --- The transfer integral equation --- p.6Chapter 2.2.3 --- The pseudo-Schrodinger equation approximation --- p.7Chapter 2.2.4 --- Distribution function of the displacements --- p.9Chapter 2.3 --- The Thermodynamics --- p.10Chapter 2.3.1 --- Internal energy and heat capacity --- p.10Chapter 2.3.2 --- Displacement fluctuation --- p.12Chapter 2.3.3 --- Displacement correlation function --- p.12Chapter Chapter 3. --- The Φ4 Chain --- p.14Chapter 3.1 --- Soliton In The Chain --- p.15Chapter 3.1.1 --- Kink soliton and antikink soliton --- p.15Chapter 3.1.2 --- Energy of a static kink --- p.18Chapter 3.2 --- Low Temperature WKB Approximation for the Φ4 Chain --- p.20Chapter 3.2.1 --- The ground state energy ε0 and tunneling-splitting contribution --- p.20Chapter 3.2.2 --- First order WKB approximation of ΨRo( φ) --- p.22Chapter 3.2.3 --- Second order WKB wavefunction ΨRo( φ)） --- p.26Chapter 3.2.4 --- Third order WKB wavefunction for ΨRo( φ) --- p.27Chapter 3.3 --- Thermodynamics --- p.28Chapter 3.3.1 --- Ground state energy ε0 and wavefunction Ψo( φ) --- p.28Chapter 3.3.2 --- Internal energy and heat capacity --- p.33Chapter 3.3.3 --- Displacement correlation function --- p.36Chapter Chapter 4. --- Other Nonlinear Klein-Gordon Models --- p.42Chapter 4.1 --- The φ8 Chain --- p.42Chapter 4.1.1 --- The potential --- p.42Chapter 4.1.2 --- The ground state energy εo and wavefunction Ψo( φ) --- p.44Chapter 4.1.3 --- Internal energy and heat capacity --- p.49Chapter 4.1.4 --- Displacement correlation function cyy(n) --- p.51Chapter 4.2 --- The Gaussian-Double-Well Chains --- p.53Chapter 4.2.1 --- The potential --- p.53Chapter 4.2.2 --- The ground state energy εo and wavefunction ψo --- p.55Chapter 4.2.3 --- Internal energy and heat capacity --- p.58Chapter 4.2.4 --- Displacement correlation function cyy(n) --- p.59Chapter 4.3 --- Comparison Between Different NKG Models --- p.61Chapter 4.3.1 --- The potentials --- p.61Chapter 4.3.2 --- Ground state energy εo and wavefunction ψo(ψ) --- p.65Chapter 4.3.3 --- Internal energy and heat capacity --- p.68Chapter 4.3.4 --- Displacement fluctuation --- p.70Chapter 4.3.5 --- Displacement correlation function cyy(n) --- p.71Chapter 4.4 --- Linear Response of a NKG Chain to a Static Perturbing Field --- p.75Chapter 4.4.1 --- The external perturbing field --- p.75Chapter 4.4.2 --- The linear response --- p.75Chapter 4.4.3 --- Linear response of an array of weakly coupled NKG chains --- p.80Chapter Chapter 5. --- Quantum Corrections --- p.86Chapter 5.1 --- The Effective Potential --- p.86Chapter 5.1.1 --- The smearing parameter --- p.86Chapter 5.1.2 --- The effective potential --- p.88Chapter 5.2 --- Quantum Corrections on Thermodynamics --- p.90Chapter 5.2.1 --- The ground state energy εo and wavefunction ψo(ψ) --- p.90Chapter 5.2.2 --- The heat capacity --- p.94Chapter 5.2.3 --- Displacement correlation function and displacement fluctuation --- p.97Chapter Chapter 6. --- Conclusion --- p.103Appendix A. Infinite-Square-Well Basis Diagonalization --- p.105Appendix B. Oscillator Basis Diagonalization --- p.110Bibliography --- p.11