by Yip Kam-wa. / Parallel title in Chinese characters. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1991. / Bibliography: leaf 64. / List of Figures --- p.iii / Acknowledgement --- p.vi / Abstract --- p.vii / Chapter 1. --- Introduction --- p.1 / Chapter 2. --- Effective-mass Approximation for Lattice-matched Heterostructures --- p.4 / Chapter 2.1 --- Introduction --- p.4 / Chapter 2.2 --- Formulation --- p.5 / Chapter 2.3 --- Model --- p.10 / Chapter 2.4 --- Exact Solution and Effective-mass Approximation for the Reflection Coefficient of 1-D Heterojunction --- p.15 / Chapter 2.5 --- Comparison --- p.20 / Chapter 2.6 --- Kinetic Energy Operator Ordering --- p.26 / Chapter 2.7 --- Conclusion --- p.30 / Chapter 3. --- Effective Hamiltonian for Semiconductor Heterostructures in a Uniform Magnetic Field --- p.33 / Chapter 3.1 --- Introduction --- p.33 / Chapter 3.2 --- Bloch Electron in a Uniform Magnetic Field --- p.34 / Chapter 3.3 --- Effective Hamiltonian for Heterostructures in a Uniform Magnetic Field --- p.40 / Chapter 3.4 --- Conclusion --- p.42 / Chapter 4. --- Effective-mass Approximation for a 1-D Strained Heterostructure --- p.43 / Chapter 4.1 --- Introduction --- p.43 / Chapter 4.2 --- Formulation --- p.44 / Chapter 4.3 --- Model --- p.50 / Chapter 4.4 --- Comparison --- p.54 / Chapter 4.5 --- Conclusion --- p.62 / Chapter 5. --- Conclusion --- p.63 / References --- p.64 / Appendix A --- p.65 / Appendix B --- p.67 / Appendix C --- p.68

Thesis (Ph. D.)--University of California, San Diego, 1981. / Vita. Bibliography: leaves 100-102.

Thesis (Ph.D.)--University of California, Berkeley, 1961. / "Physics Distribution" -t.p. "TID-4500 (16th Ed.)" -t.p. Includes bibliographical references (p. 68-70).

The work reported in this thesis is based on the vierbein field formulation of gravitational theory, used in conjunction with the method of the compensating field. It is shown that the most general linear equations of second order for a tensor field, which are invariant under orientations of the local inertial frame and under gauge transformations of the vierbein field components are identical with Einstein's field equation written down in the weak field approximation. An attempt is made to take into account any possibly existing gravitating effect of gravitation by applying the method of the compensating field to the weak field Lagrangian, resulting in a set of nonlinear field equations. The invariance properties of the modified field equations are examined, and some special solutions are exhibited. / Science, Faculty of / Physics and Astronomy, Department of / Graduate

Following an examination of the properties of the conformal group in 4-space, a review is made of the procedure by which conformally covariant massless field equations are written in manifestly covariant form. By writing the Minkowski coordinates in terms of coordinates on the null hyperquadric of a 6-dimensional flat space with two timelike directions, the action of the group is linearized and field equations are written in rotationally covariant form in 6-dimensional space. It is then shown that extending the 6-coordinates off the null surface generalizes Minkowski space to a 5-dimensional space. Such a generalization necessitates employing a method of descent to 4-dimensional space from six dimensions which differs from the usual procedure, and allows one to encompass massive field theories in the manifest formalism. It is demonstrated that these massive fields can be understood as manifestations in Minkowski space of massless fields in 5-dimsnsional space. For the case of spinors, the field equation can accomodate precisely two species of particle having two different masses. An action principle is developed in the 6-space, and a method of field quantization is devised. As examples of the method, the special cases of spin-0, spin-1/2, and spin-1 fields are examined in detail, and minimal coupling of the spinor field equation is carried out. The formalism presented in this investigation provides a means by which one can apprehend a massive compensating field within the confines of a gauge invariant theory. The interactions which are obtained in Minkowski space include not only the usual couplings with massive vector or pseudovector fields, but as well the pseudoscalar coupling occurs automatically within this gauge invariant formulation. / Science, Faculty of / Physics and Astronomy, Department of / Graduate

Thesis (Ph. D.)--University of Texas at Austin, 2003. / Supervisor: Byron D. Tapley. Vita. Includes bibliographical references. Available also from UMI Company.

No description available.

No description available.

Call number: LD2668 .T4 1985 C47 / Master of Science

Chan Kin Hang. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2006. / Includes bibliographical references (leaves 66-67). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- Weighted Sobolev Spaces --- p.3 / Chapter 2.1 --- Weighted Sobolev Spaces --- p.3 / Chapter 2.2 --- Some Basic Properties of Weighted Sobolev Spaces --- p.4 / Chapter 2.3 --- Δon Rn in Weighted Sobolev Spaces --- p.14 / Chapter 2.4 --- Δg on Asymptotically Flat Manifolds --- p.20 / Chapter 3 --- Uniqueness of Structure at Infinity --- p.32 / Chapter 3.1 --- More on Δg --- p.32 / Chapter 3.2 --- Uniqueness of Structure of Infinity --- p.34 / Chapter 4 --- Uniqueness of Mass --- p.40 / Chapter 4.1 --- Definition of Mass --- p.40 / Chapter 4.2 --- Uniqueness of Mass --- p.41 / Chapter 5 --- Schwarzschild Metric and Vacuum Einstein Equation --- p.50 / Chapter 5.1 --- Static Spacetime and Spherically Symmetric Spacetime --- p.50 / Chapter 5.2 --- Schwarzschild Vacuum Solution --- p.57 / Chapter 5.2.1 --- Equation Solving --- p.57 / Chapter 5.3 --- Birkhoff's Theorem --- p.59 / Chapter 5.4 --- Asymptotically Flat Properties of Space with Schwarzschild Metric --- p.61 / Chapter 5.5 --- Mass of The Space Induced by Schwarzschild Metric --- p.64 / Bibliography --- p.66