Yuen Pui-Ho. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2002. / Includes bibliographical references (leaves 158-159). / Text in English; abstracts in English and Chinese. / Yuen Pui-Ho. / ACKNOWLEDGEMENTS --- p.1 / ABSTRACT --- p.2 / CONTENTS --- p.4 / LIST OF FIGURES --- p.7 / Chapter CHAPTER 1 - --- INTRODUCTION --- p.13 / Chapter 1-1 --- Interaction with EM-field --- p.15 / Chapter 1-2 --- Objective of this study --- p.17 / Chapter 1-3 --- Thesis arrangement --- p.18 / Chapter CHAPTER 2 - --- LITERATURE REVIEW --- p.20 / Chapter 2-1 --- Numerical Method --- p.20 / Chapter 2-1-1 --- Classical calculation --- p.20 / Chapter 2-1-2 --- Quantum mechanical calculation --- p.21 / Chapter 2-1-2-1 --- Finite Difference Method --- p.21 / Chapter 2-1-2-2 --- Non-finite difference method --- p.23 / Chapter 2-1-3 --- Calculation of dissociation probability --- p.24 / Chapter 2-2 --- Morse oscillator under constant driving frequency --- p.26 / Chapter 2-2-1 --- Classical and quantum dynamics comparison --- p.26 / Chapter 2-2-2 --- Resonance condition and factors affecting dissociation probability --- p.27 / Chapter 2-3 --- MORSE OSCILLATOR UNDER CHIRPED DRIVING FREQUENCY --- p.33 / Chapter 2-3-1 --- Bucket Dynamics --- p.35 / Chapter 2-3-2 --- Floquet Analysis --- p.38 / Chapter 2-4 --- Summaries --- p.43 / Chapter CHAPTER 3 - --- METHODOLOGY --- p.46 / Chapter 3-1 --- The model --- p.46 / Chapter 3-2 --- An approximation to sinusoidal variation --- p.47 / Chapter 3-3 --- Approximation to chirping frequency --- p.51 / Chapter 3-4 --- Calculating time evolution operator for piecewise constant --- p.56 / Chapter 3-5 --- Performance of the piecewise constant approach --- p.58 / Chapter 3-5-1 --- Error vs. time --- p.59 / Chapter 3-5-2 --- Accuracy dependence on number of term included --- p.62 / Chapter 3-5-3 --- Accuracy dependence on applied E-field --- p.64 / Chapter 3-5-4 --- "Drawbacks of the "" piecewise constant approach ´ح" --- p.65 / Chapter CHAPTER 4 - --- BEHAVIOR OF MORSE OSCILLATOR UNDER SEMI-CLASSICAL EM- FIELD --- p.67 / Chapter 4-1 --- Morse oscillator in monochromatic laser light --- p.67 / Chapter 4-1-1 --- Theoretical analysis --- p.67 / Chapter 4-1-2 --- Numerical simulation --- p.70 / Chapter 4-1-2-1 --- Dependence on resonant levels --- p.70 / Chapter 4-1-2-2 --- Dependence on Intensity --- p.76 / Chapter 4-1-2-3 --- Frequency deviation from resonant frequency --- p.79 / Chapter 4-2 --- Morse oscillator driven by chirped laser pulse --- p.89 / Chapter 4-2-1 --- Chirping scheme --- p.89 / Chapter 4-2-2 --- Level climbing and residual --- p.92 / Chapter 4-2-3 --- Factors affecting dissociation probability --- p.98 / Chapter 4-2-3-1 --- Dependence on driving amplitude --- p.98 / Chapter 4-2-3-2 --- Dependence on rate of frequency change and initial driving frequency --- p.99 / Chapter 4-2-3-3 --- Dependency on starting state --- p.104 / Chapter 4-3 --- Chapter Summary --- p.106 / Chapter CHAPTER 5 - --- "BUCKET DYNAMICS AND QUANTUM MECHANICAL ""PHASE SPACE""" --- p.108 / Chapter 5-1 --- Bucket dynamics in classical Morse oscillator --- p.109 / Chapter 5-2 --- "Quantum mechanical ""phase space""" --- p.114 / Chapter 5-2-1 --- Wigner function and its properties --- p.115 / Chapter 5-2-2 --- Q-function and its properties --- p.121 / Chapter 5-2-3 --- Q-functions of the energy eigenstates of Morse oscillator --- p.123 / Chapter 5-3 --- Evolution of Wigner function and Q-function --- p.125 / Chapter 5-3-1 --- Evolution of Wigner function and Q-function under periodic driving field --- p.125 / Chapter 5-3-2 --- Evolution of Wigner function and Q-function under driving field with chirped frequency --- p.132 / Chapter 5-4 --- "Bucket dynamics and, quantum mechanical ""phase space""" --- p.138 / Chapter 5-5 --- Chapter Summary --- p.141 / Chapter CHAPTER 6 - --- CONCLUSIONS AND FURTHER STUDIES --- p.143 / Chapter 6-1 --- Morse oscillator driven by monochromic laser light --- p.143 / Chapter 6-1-1 --- Factors affecting the behavior of Morse oscillator in monochromic laser light --- p.144 / Chapter 6-1-1-1 --- Effect of laser intensity --- p.144 / Chapter 6-1-1-2 --- Effect of driving frequency --- p.144 / Chapter 6-2 --- Morse oscillator driven by chirped laser pulse --- p.145 / Chapter 6-3 --- "Bucket dynamics and quantum mechanical ""phase space""" --- p.146 / Chapter 6-4 --- Wigner function and Q-function of driven Morse oscillator --- p.147 / Chapter 6-5 --- Conclusions and Discussions --- p.149 / APPENDIX A - EQUIVALENCE OF QUANTUM SYSTEMS WITH DIFFERENT GAUGES --- p.150 / APPENDIX B - CALCULATION OF TRANSITION MATRIX ELEMENT TMN --- p.152 / "APPENDIX C - CALCULATION OF PERTURBED MATRIX ELEMENTS, H´ةKN" --- p.154 / BIBLIOGRAPHY --- p.158
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_323897 |
| Date | January 2002 |
| Contributors | Yuen, Pui-Ho., Chinese University of Hong Kong Graduate School. Division of Physics. |
| Source Sets | The Chinese University of Hong Kong |
| Language | English, Chinese |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, 159 leaves : ill. (some col.) ; 30 cm. |
| Rights | Use of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/) |
Page generated in 0.0028 seconds