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Topics in quantum geometric phase. / 量子力學中之幾何相位 / Topics in quantum geometric phase. / Liang zi li xue zhong zhi ji he xiang wei

Wong Hon Man = 量子力學中之幾何相位 / 黃漢文. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2005. / Includes bibliographical references (leaves 75-78). / Text in English; abstracts in English and Chinese. / Wong Hon Man = Liang zi li xue zhong zhi ji he xiang wei / Huang Hanwen. / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Geometric Phase in Orthogonal States --- p.2 / Chapter 1.2 --- Projective Phase --- p.3 / Chapter 1.3 --- Bose-Einstein Condensate --- p.3 / Chapter 1.4 --- Arrangement of the Thesis --- p.3 / Chapter 2 --- Review of Geometric Phase --- p.5 / Chapter 2.1 --- Introduction --- p.5 / Chapter 2.2 --- Berry's Phase --- p.6 / Chapter 2.3 --- Aharonov-Anadan Phase --- p.9 / Chapter 2.4 --- Pancharatnam Phase --- p.10 / Chapter 2.5 --- Example of a Two-State System --- p.13 / Chapter 2.6 --- Remark on Phase Factor --- p.15 / Chapter 3 --- Review of Geometric Phase near Orthogonal States --- p.16 / Chapter 3.1 --- π Phase Change --- p.17 / Chapter 3.2 --- Off-diagonal Geometric Phase --- p.18 / Chapter 4 --- Projective Phase --- p.21 / Chapter 4.1 --- Projective Measurement --- p.21 / Chapter 4.2 --- Definition in Differential Geometry --- p.22 / Chapter 4.3 --- Gauge Transformation --- p.24 / Chapter 4.4 --- Two-state System and Monopole --- p.26 / Chapter 5 --- π Phase Change --- p.30 / Chapter 5.1 --- Projective Phase near Orthogonal States --- p.30 / Chapter 5.2 --- Two-state system --- p.32 / Chapter 5.3 --- Three-state systems --- p.33 / Chapter 5.4 --- Topological restriction for Spin-1 System --- p.36 / Chapter 5.5 --- Remark on Continuity of Curves --- p.37 / Chapter 6 --- Topological Number Associated with Projective Phase --- p.38 / Chapter 6.1 --- Curves Separated by Zero Dot Products --- p.38 / Chapter 6.2 --- Definition of Phase without 2π arbitrary phase --- p.41 / Chapter 6.3 --- 1st Chern Number Associated with Closed Loops --- p.42 / Chapter 6.4 --- Example with a Spin-m System --- p.43 / Chapter 6.5 --- πphase change --- p.45 / Chapter 6.6 --- Variation of Projection States and Curves --- p.46 / Chapter 7 --- Off-diagonal geometric phase --- p.50 / Chapter 7.1 --- Experiment to Measure Projective Phase --- p.52 / Chapter 8 --- Summary on Geometric Phase near Orthogonal States --- p.53 / Chapter 9 --- Review of Bose-Einstein Condensate --- p.55 / Chapter 9.1 --- Gross-Pitaevskii Equation --- p.55 / Chapter 9.2 --- One-Dimensional GP equation --- p.57 / Chapter 9.3 --- Elementary Excitations --- p.57 / Chapter 10 --- Geometric Phase in Bose-Einstein Condensate --- p.59 / Chapter 10.1 --- Two-state Geometric Phase --- p.59 / Chapter 10.2 --- Geometric Phase in Perturabation --- p.60 / Chapter 10.3 --- Numerical Results --- p.63 / Chapter 10.4 --- Discussions --- p.64 / Chapter A --- Monopole --- p.69 / Chapter B --- Definition of Fibre Bundle --- p.71 / Chapter C --- Evaluation of Bargmann invariant by Pancharatnam Phase Formula --- p.73 / Bibliography --- p.75

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_325422
Date January 2005
ContributorsWong, Hon Man., Chinese University of Hong Kong Graduate School. Division of Physics.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish, Chinese
Detected LanguageEnglish
TypeText, bibliography
Formatprint, x, 78 leaves : ill. ; 30 cm.
RightsUse 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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