Chan Chak Ming = 二元玻色-愛因斯坦凝聚態之硏究 / 陳澤明. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2001. / Includes bibliographical references (leaves [100]-104). / Text in English; abstracts in English and Chinese. / Chan Chak Ming = Er yuan Bose-Aiyinsitan ning ju tai zhi yan jiu / Chen Zeming. / Abstract --- p.i / Acknowledgments --- p.ii / Contents --- p.iii / List of Figures --- p.vi / Chapter Chapter 1. --- Introduction --- p.1 / Chapter Chapter 2. --- Theory of Bose-Einstein Condensate (BEC) --- p.4 / Chapter 2.1 --- Trapped Ideal Bose Gas --- p.5 / Chapter 2.2 --- Bogoliubov Theory of Weakly Interacting Bosons --- p.7 / Chapter 2.2.1 --- One-component BEC --- p.7 / Chapter 2.2.2 --- Two-component BEC --- p.12 / Chapter Chapter 3. --- Condensate Wavefunctions and Collective Excitations --- p.16 / Chapter 3.1 --- Properties of Condensate Wavefunctions --- p.16 / Chapter 3.2 --- Collective Excitations --- p.21 / Chapter 3.3 --- Appendix: Numerical Methods and Practical Procedures --- p.26 / Chapter 3.3.1 --- Gradient Descent Method --- p.27 / Chapter 3.3.2 --- Iterative Diagonalization Method --- p.28 / Chapter 3.3.3 --- Practical Procedures --- p.30 / Chapter Chapter 4. --- Noncondensate Atoms in Homogeneous BEC --- p.33 / Chapter 4.1 --- Noncondensate Atoms in One-Component BEC --- p.33 / Chapter 4.2 --- Bogoliubov Theory for Two-species Homogeneous BEC --- p.35 / Chapter 4.3 --- Same Mass System: m1= m2 --- p.37 / Chapter 4.4 --- Unequal Mass System: m1 ≠ m2 --- p.48 / Chapter 4.5 --- Summary --- p.54 / Chapter Chapter 5. --- Noncondensate Atoms in a Trapped BEC --- p.55 / Chapter 5.1 --- Case I: The Noncondensate Atoms in the Mixture of Two Spin States of 87Rb --- p.57 / Chapter 5.2 --- Case II: The Noncondensate Atom in the Mixture of 87Rb and 23Na --- p.61 / Chapter 5.3 --- Summary --- p.64 / Chapter Chapter 6. --- Two-component BEC in Relative Motion --- p.65 / Chapter 6.1 --- Bogoliubov Theory for Motional Two BEC --- p.65 / Chapter 6.2 --- Stability Analysis --- p.69 / Chapter 6.2.1 --- Dynamical Stability Analysis --- p.69 / Chapter 6.2.2 --- Anomalous Mode Analysis --- p.75 / Chapter 6.2.3 --- "Critical Velocity, Anomalous Modes Critical Velocity and Sound Velocities" --- p.78 / Chapter 6.3 --- Motional Two-component BEC in a Ring --- p.80 / Chapter 6.4 --- Two-component BEC of the Same Species --- p.85 / Chapter 6.4.1 --- Moving Particles in Momentum Space --- p.88 / Chapter 6.4.2 --- Moving Particles in Real Space --- p.93 / Chapter 6.4.2.1 --- Strong coupling regime: (g > k02/2) --- p.93 / Chapter 6.4.2.2 --- Weak-coupling regime: (g《<k02/2) --- p.95 / Chapter 6.5 --- Summary --- p.95 / Chapter Chapter 7. --- Conclusion --- p.93 / Bibliography --- p.100
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_323490 |
| Date | January 2001 |
| Contributors | Chan, Chak Ming., 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, ix, 104 leaves : ill. ; 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/) |
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