Field evolution in vibrating cavities =: 振腔內之場演化.

• Other Authors: Ho, Chiu Man.
• Format: Others
• Language: English; Chinese
• Published: 2002
• Subjects: Wave equation; Photons
• Online Access: http://library.cuhk.edu.hk/record=b5891079; http://repository.lib.cuhk.edu.hk/en/item/cuhk-323812

Ho Chiu Man. === Thesis (M.Phil.)--Chinese University of Hong Kong, 2002. === Includes bibliographical references (leaves 100-103). === Text in English; abstracts in English and Chinese. === Ho Chiu Man. === Chapter 1 --- Introduction --- p.1 === Chapter 1.1 --- Historical Background --- p.1 === Chapter 1.2 --- Motivations of the Project --- p.3 === Chapter 1.3 --- Outline of Thesis --- p.4 === Chapter 2 --- Review on a One-dimensional Vibrating Cavity --- p.5 === Chapter 2.1 --- The R Function --- p.5 === Chapter 2.2 --- Photon Generation --- p.7 === Chapter 2.3 --- Instantaneous Mode Expansion --- p.10 === Chapter 2.4 --- Vacuum Energy Density --- p.15 === Chapter 3 --- Graphical Method --- p.17 === Chapter 3.1 --- Construction of R-function --- p.17 === Chapter 3.2 --- Fixed-point Analysis --- p.19 === Chapter 3.3 --- A Special Class of Mirror Trajectories --- p.23 === Chapter 3.4 --- Further Analysis --- p.27 === Chapter 4 --- Wave Evolution in a One-dimensional Vibrating Cavity --- p.32 === Chapter 4.1 --- Instantaneous Mode Expansion Method --- p.32 === Chapter 4.2 --- Transformation Method --- p.34 === Chapter 4.3 --- R-Method --- p.34 === Chapter 4.4 --- Consistency between Different Methods --- p.35 === Chapter 5 --- Floquet's Theory --- p.40 === Chapter 5.1 --- System of Linear Differential Equations with Time-dependent Coefficients --- p.40 === Chapter 5.2 --- Fundamental Set of Solutions and Matrizant --- p.41 === Chapter 5.3 --- System of Linear Differential Equations with Periodic Coefficients --- p.42 === Chapter 5.4 --- Possible Properties of the Solution --- p.43 === Chapter 5.5 --- Eigenvalues for the One-dimensional Vibrating Cavity --- p.44 === Chapter 6 --- Photon Creation in an Oscillating Spherical Cavity --- p.46 === Chapter 6.1 --- Mode Decomposition --- p.46 === Chapter 6.2 --- Bogoliubov Transformation --- p.48 === Chapter 6.3 --- Photon Creation --- p.51 === Chapter 6.4 --- Mean Electric Field Operator --- p.53 === Chapter 6.5 --- Illustrations and Observations --- p.54 === Chapter 7 --- Multiple Scale Analysis --- p.61 === Chapter 7.1 --- Photon Creation by First-order Multiple Scale Analysis --- p.61 === Chapter 7.2 --- Parametric Resonance --- p.64 === Chapter 7.3 --- Nonstationary Medium --- p.71 === Chapter 7.4 --- Photon Statistics --- p.74 === Chapter 7.5 --- Finite Temperature Correction --- p.75 === Chapter 8 --- Squeezing Effect of the Classical Waves --- p.76 === Chapter 8.1 --- Squeezing Effect in the One-dimensional Vibrating Cavity --- p.76 === Chapter 8.2 --- Squeezing Effect in the Oscillating Spherical Cavity --- p.81 === Chapter 9 --- Supersymmetric Approach to Photon Generation --- p.88 === Chapter 9.1 --- Field Quantization --- p.88 === Chapter 9.2 --- Adiabatic Approximation --- p.90 === Chapter 9.3 --- Scattering Interpretation --- p.91 === Chapter 9.4 --- Supersymmetric Approach --- p.93 === Chapter 9.5 --- Examples --- p.94 === Chapter 10 --- Conclusion --- p.98 === Bibliography --- p.100