by Wong Wing Hung. / Thesis (Ph.D.)--Chinese University of Hong Kong, 1996. / Includes bibliographical references (leaves 127-129). / by Wong Wing Hung. / Acknowledgments --- p.v / Abstract --- p.vii / Chapter 1 --- Introduction - Charming simple harmonic oscillator --- p.1 / Chapter 1.1 --- High school physics --- p.1 / Chapter 1.2 --- Quantum mechanics --- p.2 / Chapter 1.3 --- Quantum dissipative systems and harmonic oscillator --- p.3 / Chapter 1.4 --- Electron-phonon interaction --- p.3 / Chapter 2 --- Dissipative two-state system 一 Spin-boson model --- p.5 / Chapter 2.1 --- Introduction --- p.5 / Chapter 2.2 --- "An ""isolated"" two-state system" --- p.6 / Chapter 2.3 --- Coupling to the environment --- p.7 / Chapter 2.4 --- Derivation of the spin-boson Hamiltonian for an extended system --- p.8 / Chapter 2.5 --- Path integral result (optional) --- p.9 / Chapter 2.5.1 --- "Ohmic, unbiased case (s =1,E= 0)" --- p.9 / Chapter 2.5.2 --- "Nonohmic, unbiased case (s≠1,E = 0)" --- p.12 / Chapter 2.5.3 --- Biased case (E ≠0) --- p.12 / Chapter 2.6 --- Our scope --- p.13 / Chapter 3 --- Correlated squeezed-state approach --- p.14 / Chapter 3.1 --- Introduction --- p.14 / Chapter 3.2 --- Coherent-state and squeezed-state approach --- p.15 / Chapter 3.3 --- Correlated squeezed-state approach --- p.16 / Chapter 3.4 --- Tunneling system coupled to two identical phonon modes --- p.19 / Chapter 3.5 --- Tunneling system coupled to a dispersionless phonon bath --- p.23 / Chapter 3.6 --- Conclusion --- p.27 / Chapter 4 --- Exact result for a two-state system coupled to a dispersionless boson bath --- p.28 / Chapter 4.1 --- The decoupling transformation --- p.28 / Chapter 4.2 --- Exact diagonalization result --- p.30 / Chapter 5 --- A variational coupled-cluster approach --- p.38 / Chapter 5.1 --- Introduction --- p.38 / Chapter 5.2 --- """Traditional"" coupled-cluster method" --- p.39 / Chapter 5.2.1 --- Zeroth level --- p.40 / Chapter 5.2.2 --- First level --- p.40 / Chapter 5.2.3 --- Second to fourth levels --- p.41 / Chapter 5.3 --- Variational coupled-cluster method --- p.43 / Chapter 5.3.1 --- Zeroth level --- p.44 / Chapter 5.3.2 --- First level --- p.44 / Chapter 5.3.3 --- Second to fourth levels --- p.45 / Chapter 5.4 --- Traditional CCA based on VCCA --- p.46 / Chapter 5.5 --- Numerical results and discussion --- p.47 / Chapter 5.6 --- Conclusion --- p.56 / Chapter 6 --- A two-state system coupled to an ohmic phonon bath ´ؤ a variational coupled-cluster approach --- p.57 / Chapter 6.1 --- A variable displacement transformation --- p.57 / Chapter 6.2 --- The zeroth level --- p.58 / Chapter 6.3 --- The first level --- p.58 / Chapter 6.4 --- The second level --- p.59 / Chapter 6.5 --- The third level --- p.61 / Chapter 6.6 --- Numerical results and discussions --- p.63 / Chapter 6.7 --- Conclusion --- p.66 / Chapter 7 --- Hubbard-Holstein model --- p.67 / Chapter 7.1 --- The Hubbard model --- p.67 / Chapter 7.2 --- The Hubbard-Holstein model --- p.68 / Chapter 8 --- Heat capacity and spin susceptibility of the Hubbard-Holstein model --- p.69 / Chapter 8.1 --- Grand partition function of the model --- p.69 / Chapter 8.1.1 --- Unperturbed grand partition function --- p.70 / Chapter 8.1.2 --- Second-order correction to grand partition function --- p.72 / Chapter 8.1.3 --- Fourth-order correction to grand partition function --- p.74 / Chapter 8.1.4 --- Third-order correction to the grand partition function --- p.75 / Chapter 8.2 --- One- and two-dimensional regular lattices --- p.76 / Chapter 8.2.1 --- Linear chain --- p.76 / Chapter 8.2.2 --- Square lattice --- p.81 / Chapter 8.3 --- Amorphous models --- p.84 / Chapter 8.3.1 --- One-dimensional model --- p.85 / Chapter 8.3.2 --- Two-dimensional model --- p.88 / Chapter 8.4 --- Conclusion --- p.90 / Chapter 9 --- Nuclear spin-lattice relaxation of the Hubbard-Holstein model --- p.92 / Chapter 9.1 --- Formalism --- p.92 / Chapter 9.2 --- One-dimensional systems --- p.100 / Chapter 9.2.1 --- Regular linear chain --- p.100 / Chapter 9.2.2 --- Amorphous linear chain --- p.102 / Chapter 9.3 --- Three-dimensional systems --- p.103 / Chapter 9.3.1 --- Simple cubic lattice --- p.103 / Chapter 9.3.2 --- Three-dimensional amorphous structure --- p.104 / Chapter 9.4 --- Conclusion --- p.106 / Chapter A --- Coherent state and squeezed state --- p.107 / Chapter A.1 --- Coherent state --- p.107 / Chapter A.2 --- Single-mode squeezed state --- p.109 / Chapter A.3 --- Generalized multimode squeezing --- p.109 / Chapter B --- Construction of a rotation transformation --- p.110 / Chapter C --- Perturbation series for the grand partition function --- p.114 / Chapter D --- Propagator of simple harmonic oscillator --- p.116 / Chapter E --- Derivation of the nuclear spin-lattice relaxation time --- p.118 / Bibliography --- p.127
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_321584 |
| Date | January 1996 |
| Contributors | Wong, Wing Hung., 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, viii, 129 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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