by Tam Chi Yung. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1996. / Includes bibliographical references (leaves 66-67). / by Tam Chi Yung. / Contents --- p.i / List of Figures --- p.iii / Acknowledgement --- p.iv / Abstract --- p.v / Chapter Chapter 1. --- Introduction --- p.1 / Chapter 1.1 --- Open systems and quasinormal modes --- p.1 / Chapter 1.2 --- Gravitational waves --- p.3 / Chapter Chapter 2. --- Green's Function Formalism --- p.6 / Chapter 2.1 --- Introduction --- p.6 / Chapter 2.2 --- Constructing the Green's function --- p.7 / Chapter 2.3 --- The norm --- p.9 / Chapter 2.4 --- Completeness --- p.11 / Chapter Chapter 3. --- Potentials With No Tail --- p.13 / Chapter 3.1 --- Introduction --- p.13 / Chapter 3.2 --- Completeness --- p.14 / Chapter 3.2.1 --- Proof --- p.14 / Chapter 3.2.2 --- Examples --- p.16 / Chapter 3.3 --- The two-component approach --- p.20 / Chapter 3.3.1 --- Formalism --- p.21 / Chapter 3.3.2 --- Comparison of different expansion schemes --- p.23 / Chapter 3.3.3 --- Linear Space --- p.29 / Chapter 3.4 --- Perturbation theory --- p.31 / Chapter 3.4.1 --- Formalism --- p.31 / Chapter 3.4.2 --- Examples --- p.33 / Chapter 3.5 --- Conclusion --- p.35 / Chapter Chapter 4. --- Potentials With Exponential Tails --- p.36 / Chapter 4.1 --- Introduction --- p.36 / Chapter 4.2 --- Single exponential tail --- p.37 / Chapter 4.3 --- Asymptotics of QNM's --- p.40 / Chapter 4.4 --- The Born series --- p.43 / Chapter 4.5 --- Poschl-Teller potential --- p.44 / Chapter 4.5.1 --- Analytic solutions --- p.44 / Chapter 4.5.2 --- The norm --- p.46 / Chapter 4.6 --- The problem of cut-off --- p.48 / Chapter 4.7 --- An effective numerical scheme --- p.49 / Chapter 4.8 --- Conclusion --- p.53 / Chapter Chapter 5. --- Logarithmic Perturbation --- p.54 / Chapter 5.1 --- Introduction --- p.54 / Chapter 5.2 --- Formalism --- p.54 / Chapter 5.3 --- Examples --- p.57 / Chapter 5.4 --- Conclusion --- p.59 / Chapter Chapter 6. --- Conclusion --- p.60 / Appendix A. Asymptotic behaviour of the Green's function --- p.61 / Appendix B. Derivation of the equation (4.16) --- p.63 / Appendix C. Different definitions of the norm --- p.64 / Bibliography --- p.66
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_321463 |
| Date | January 1996 |
| Contributors | Tam, Chi Yung., Chinese University of Hong Kong Graduate School. Division of Physics. |
| Publisher | Chinese University of Hong Kong |
| Source Sets | The Chinese University of Hong Kong |
| Language | English |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, v, 67 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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