| 中文摘要 | 第1-9页 |
| Abstract | 第9-14页 |
| Chapter 1 Introduction | 第14-36页 |
| Section 1.1 Geometric Phase | 第14-28页 |
| ·Adiabatic and Cyclic Phase | 第16-20页 |
| ·Nonadiabatic and Cyclic Phase | 第20-23页 |
| ·Nonadiabatic and Noncyclic Phase | 第23-26页 |
| ·Geometric Phase for Mixed Stats | 第26-28页 |
| Section 1.2 Quasi-Exactly Solvable Problems | 第28-36页 |
| ·The Definition and Corresponding Algebraic Structure | 第29-32页 |
| ·A Simple Problem: One Dimensional Harmonic Oscillator | 第32-36页 |
| Chapter 2 Aharonov-Anandan Phases in Lipkin-Meskov-Glick model2323 | 第36-56页 |
| Section 2.1 Introduction | 第36-37页 |
| Section 2.2 Reviews Methods of Calculation of A-A Phase and Its General-ization to Degeneracy Case | 第37-40页 |
| Section 2.3 The Aharonov and Anandan Phase Of LMG | 第40-51页 |
| Section 2.4 Discussion and Conclusion | 第51-56页 |
| Chapter 3 Geometric Phases for Nonlinear Coherent and Squeezed S- tates | 第56-70页 |
| Section 3.1 Introduction | 第56页 |
| Section 3.2 Reviews of Nonlinear Coherent and Squeezed States | 第56-60页 |
| Section 3.3 Geometric Phase for Nonlinear Coherent State | 第60-64页 |
| Section 3.4 Geometric Phase for Nonlinear Squeezed State | 第64-67页 |
| Section 3.5 Conclusion | 第67-70页 |
| Chapter 4 Geometric Phases for Entangled Coherent States | 第70-78页 |
| Section 4.1 Introduction | 第70-71页 |
| Section 4.2 Geometric Phases for Entangled Coherent States | 第71-76页 |
| ·Entangled Coherent States of Harmonic Oscillators | 第71-72页 |
| ·Geometric Phases for Entangled Coherent States | 第72-74页 |
| ·Discussions | 第74-76页 |
| Section 4.3 Conclusion | 第76-78页 |
| Chapter 5 A New Quasi-Exactly Solvable Problem and its Connec-tion with an Anharmonic Oscillator | 第78-94页 |
| Section 5.1 Introduction | 第78-79页 |
| Section 5.2 The Separation of Variables | 第79-80页 |
| Section 5.3 Solving the Radial Equation with the sl(2) Algebra | 第80-86页 |
| Section 5.4 Solving the Same Equation with Analytical Method | 第86-91页 |
| Section 5.5 KS Transformation | 第91-92页 |
| Section 5.6 Conclusion | 第92-94页 |
| Chapter 6 Demonstrating Additional Law of Relativistic Velocities Based on Squeezed Light | 第94-106页 |
| Section 6.1 Introduction | 第94-95页 |
| Section 6.2 Reviews of Squeezed State and Special Relativity | 第95-97页 |
| Section 6.3 Connecting Squeezed Transformation with Lorentz Boost | 第97-99页 |
| Section 6.4 SqueezedTransformationandAdditionalLawofRelativisticVe-locities | 第99-103页 |
| Section 6.5 Conclusion | 第103-106页 |
| Bibliography | 第106-114页 |
| 致谢 | 第114-116页 |
| Resume | 第116-117页 |
