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study of the continuous spectrum for wave propagation on Schwarzschild spacetime =: 史瓦兹西爾德時空中波動傳播之連續頻譜. / 史瓦兹西爾德時空中波動傳播之連續頻譜 / A study of the continuous spectrum for wave propagation on Schwarzschild spacetime =: Shiwazixierde shi kong zhong bo dong zhuan bo zhi lian xu pin pu. / Shiwazixierde shi kong zhong bo dong zhuan bo zhi lian xu pin pu

Mak Ka Wai Charles. / Thesis submitted in: October 2001. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2002. / Includes bibliographical references (leaves 89-91). / Text in English; abstracts in English and Chinese. / Mak Ka Wai Charles. / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Overview of the Mathematical Framework --- p.2 / Chapter 1.2 --- System of Interest --- p.7 / Chapter 1.2.1 --- Klein-Gordon equation --- p.7 / Chapter 1.2.2 --- QNM boundary conditions --- p.12 / Chapter 1.3 --- Outline of This Thesis --- p.14 / Chapter 2 --- Green's Function --- p.15 / Chapter 2.1 --- "Formal Expression for G(x,y,w)" --- p.16 / Chapter 2.2 --- "Leaver's Series Solution: An Analytic Expression for g(r, w)" --- p.17 / Chapter 2.3 --- Location of the Cut --- p.22 / Chapter 2.4 --- "Jaffe's Series Solution: An Analytic Expression for f(r,w)" --- p.23 / Chapter 2.5 --- QNMs and Their Locations --- p.26 / Chapter 2.5.1 --- Alternative definitions of QNM --- p.26 / Chapter 2.5.2 --- Methods of searching for QNMs --- p.28 / Chapter 2.5.3 --- Locations of QNMs --- p.29 / Chapter 2.6 --- Green's Function and Eigenspectra --- p.30 / Chapter 3 --- Normalization Function: Analytical Treatment --- p.34 / Chapter 3.1 --- Definition and Properties --- p.34 / Chapter 3.2 --- Analytic Approximations for --- p.36 / Chapter 3.3 --- Polar Perturbations --- p.39 / Chapter 4 --- Normalization Function: Numerical Treatment --- p.42 / Chapter 4.1 --- "Numerical Algorithm for g(x,w)" --- p.42 / Chapter 4.1.1 --- Method --- p.42 / Chapter 4.1.2 --- Equation governing R(z) --- p.45 / Chapter 4.1.3 --- "Equations governing A(x, z) and B(x, z)" --- p.45 / Chapter 4.2 --- "Numerical Algorithm for g(x, ´ؤw)" --- p.49 / Chapter 4.3 --- Numerical Result of q(γ) --- p.50 / Chapter 4.4 --- Comparison of Numerical Result with Analytic Approximations --- p.56 / Chapter 5 --- "Branch Cut Strength of G(x, y, w)" --- p.58 / Chapter 5.1 --- "Relation between q(γ) and ΔG(x,y, ´ؤiγ)" --- p.58 / Chapter 5.2 --- Proof of the Power Law --- p.60 / Chapter 5.3 --- "Numerical Results for ΔG(x, y, ´ؤiγ)" --- p.63 / Chapter 5.4 --- Study of a Physically Important Limit --- p.65 / Chapter 5.4.1 --- Limiting x and y --- p.65 / Chapter 5.4.2 --- Poles on the unphysical sheet --- p.69 / Chapter 5.4.3 --- Zerilli potential --- p.77 / Chapter 6 --- Conclusion --- p.81 / Chapter A --- Tortoise Coordinate --- p.84 / Chapter B --- Solution of the Generalized Coulomb Wave Equation --- p.86 / Chapter C --- Derivation of (5.1) --- p.88 / Bibliography --- p.89

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_323816
Date January 2002
ContributorsMak, Ka Wai Charles., Chinese University of Hong Kong Graduate School. Division of Physics.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish, Chinese
Detected LanguageEnglish
TypeText, bibliography
Formatprint, viii, 91 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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