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Thesis: M.S., Massachusetts Institute of Technology, Department of Physics, 1978 / Includes bibiliographical references. / M.S. / M.S. Massachusetts Institute of Technology, Department of Physics

<p> It is known in the case of an electron gas that the Coulomb force between electrons is screened due to the density variation around the electrons. In a similar way the force acting between nucleons in nuclear matter may be appreciably different from the free nucleon-nucleon interactions. The main theme of this thesis is to examine the "Screening" effect of the nuclear force. To this end, first the dielectric formulation of the theory of an electron gas is reviewed. Relationship among the chain-diagram approximation, the random phase approximation and the dieledtric formulation is discussed in detail. These techniques are then applied to nuclear matter taking the one-pion exchange potential as an example. It is found that the screening effect on the nuclear force in nuclear matter is indeed quite appreciable. The validity of the approximations is discussed. </p> / Thesis / Master of Science (MSc)

Yeung Man Yi = 多體量子系統問題 / 楊曼儀. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2006. / Includes bibliographical references (leaves [247-249]). / Text in English; abstracts in English and Chinese. / Yeung Man Yi = Duo ti liang zi xi tong wen ti / Yang Manyi. / Abstract --- p.i / Acknowledgment --- p.iii / Chapter I --- Computational Quantum Mechanics and Its Applications / 電算量子力學及其應用 --- p.1 / Chapter 1 --- Theoretical Methodology of Electronic Structures: Ab Initio Molecular Orbital Theory --- p.2 / Chapter 1.1 --- Molecular Hamiltonian --- p.2 / Chapter 1.2 --- Hartree Products --- p.5 / Chapter 1.3 --- Slater Determinants and Pauli Exclusion Principle --- p.6 / Chapter 1.4 --- Expansion of Total Electronic Energy in terms of Integrals over MOs --- p.8 / Chapter 1.5 --- Derivation of the Hartree-Fock Equations --- p.11 / Chapter 1.6 --- Orbital Energies and the Koopmans' Theorem --- p.14 / Chapter 1.7 --- AO Basic Sets --- p.17 / Chapter 1.7.1 --- Slater-Type Orbitals --- p.18 / Chapter 1.7.2 --- Gaussian Functions --- p.18 / Chapter 1.8 --- Self-Consistent Field Calculation --- p.19 / Chapter 1.9 --- Hartree-Fock Limit --- p.20 / Chapter 1.10 --- Electron Correlation --- p.20 / Chapter 1.10.1 --- Configuration Interaction --- p.20 / Chapter 1.10.2 --- Density Functional Theory --- p.21 / Chapter 2 --- Theoretical Investigation of Organic Light Emitting Molecules --- p.29 / Chapter 2.1 --- Introduction --- p.29 / Chapter 2.2 --- Methodology --- p.31 / Chapter 2.2.1 --- Theoretical Methodology --- p.31 / Chapter 2.2.2 --- Computational Methodology --- p.35 / Chapter 2.3 --- ADN series --- p.35 / Chapter 2.3.1 --- Molecular Structure --- p.36 / Chapter 2.3.2 --- Electronic Structure --- p.49 / Chapter 2.3.3 --- Absorption and Emission Energy --- p.55 / Chapter 2.3.4 --- Reorganization Energy --- p.56 / Chapter 2.3.5 --- Mobility --- p.57 / Chapter 2.3.6 --- Summary on ADN series --- p.66 / Chapter 2.4 --- XOT series --- p.67 / Chapter 2.4.1 --- Molecular Structure --- p.68 / Chapter 2.4.2 --- Electronic Structure --- p.89 / Chapter 2.4.3 --- Absorption and Emission Energy --- p.96 / Chapter 2.4.4 --- Reorganization Energy and Mobility --- p.98 / Chapter 2.4.5 --- Summary on XOT series --- p.100 / Chapter 2.5 --- KPA series --- p.102 / Chapter 2.5.1 --- Molecular Structure --- p.102 / Chapter 2.5.2 --- Electronic Structure --- p.123 / Chapter 2.5.3 --- Absorption and Emission Energy --- p.131 / Chapter 2.5.4 --- Reorganization Energy and Mobility --- p.131 / Chapter 2.5.5 --- Summary on KPA series --- p.133 / Chapter 2.6 --- NPA series --- p.136 / Chapter 2.6.1 --- Molecular Structure --- p.136 / Chapter 2.6.2 --- Electronic Structure --- p.160 / Chapter 2.6.3 --- Absorption and Emission Energy --- p.166 / Chapter 2.6.4 --- Reorganization Energy and Mobility --- p.167 / Chapter 2.6.5 --- Summary on NPA series --- p.169 / Chapter II --- Analytical Studies of Polarons and the Electron-Phonon Interaction / 極子與電子一聲子相互作用的解析研究 --- p.172 / Chapter 3 --- Study on Holstein Model Using Variational Approximation --- p.173 / Chapter 3.1 --- Holstein Hamiltonian --- p.173 / Chapter 3.2 --- Variational Transformation --- p.175 / Chapter 3.2.1 --- Lang-Firsov Transformation --- p.175 / Chapter 3.2.2 --- Squeezing Transformation --- p.177 / Chapter 3.3 --- Energy and Static Correlation Functions --- p.179 / Chapter 4 --- Study on Holstein Model Using Coupled-Cluster Method --- p.193 / Chapter 4.1 --- Approximation in the Coupled-Cluster Method --- p.193 / Chapter 4.2 --- Approach 1 --- p.195 / Chapter 4.2.1 --- The Zeroth and the First Levels --- p.195 / Chapter 4.2.2 --- Energies and Static Correlation Functions --- p.196 / Chapter 4.3 --- Approach 2 --- p.206 / Chapter 4.3.1 --- The Zeroth and the First Levels --- p.206 / Chapter 4.3.2 --- Energies and Static Correlation Functions --- p.210 / Chapter 4.4 --- Approach 3 --- p.225 / Chapter 4.4.1 --- The Zeroth and the First Levels --- p.226 / Chapter 4.4.2 --- Energies and Static Correlation Functions --- p.228 / Chapter 4.5 --- Comparison with the Variational Method --- p.243

Graduation date: 1992

Thesis (Ph. D.)--University of Washington, 2003. / Vita. Includes bibliographical references (p. 86-89).

Many-body quantum dynamics is a challenging problem that has induced the development of many different computational techniques. One powerful technique is the multiconfiguration time-dependent Hartree-Fock (MCTDHF) method. This method allows proper consideration of electronic correlation with much less computational overhead compared to other similar methods. In this work, we present our implementation of the MCTDHF method on a non-uniform cylindrical grid. With the one-body limit of our code, we studied the controversial topic of tunneling delay, and showed that our results agree with one recent experiment while disagreeing with another. Using the fully correlated version of the code, we demonstrated the ability of MCTDHF to address correlation by calculating the ground state ionization energies of a few strongly correlated systems.

Thesis (Ph. D.)--University of Washington, 1998. / Vita. Includes bibliographical references (leaves [120]-124).

Thesis (Ph. D.)--Florida State University, 2004. / Advisor: Dr. Jorge Piekarewicz, Florida State University, College of Arts and Sciences, Dept. of Physics. Title and description from dissertation home page (Jan. 19, 2005). Includes bibliographical references.