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31 
The role of the Van Hove singularity in the time evolution of electronic states in a lowdimensional superlattice semiconductorGarmon, Kenneth Sterling, January 1900 (has links)
Thesis (Ph. D.)University of Texas at Austin, 2007. / Vita. Includes bibliographical references.

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THE CALCULATION OF LOWER BOUNDS TO ATOMIC ENERGIES.RUSSELL, DAVID MARTIN. January 1983 (has links)
The goal of this dissertation has been to develop a method that enables one to calculate accurate, rigorous lower bounds to the eigenvalues of the standard nonrelativistic spinfree Hamiltonian for an atom with N electrons. Lower bounds are necessary in order to complement upper bounds obtained from the HartreeFock and RayleighRitz techniques. Without accurate lower bounds, it is impossible to estimate the error of the approximate values of the energies. By combining two heretofore distinct methods and using the symmetry properties of the Hamiltonian, this goal has been achieved. The first of the two methods is the method of intermediate problems. By beginning with an appropriately chosen "base operator" H⁰, one forms a sequence of intermediate Hamiltonians Hᵏ, k = 1,2,..., whose corresponding eigenvalues form a sequence of lower bounds to the eigenvalues of the original Hamiltonian H. Complications which occurred in this method due to the stability of essential spectra under compact perturbations were later surmounted with the use of abstract separation of variables by D. W. Fox. The second technique, the effective field method, provides a lower bound operator to the interelectron repulsion term in H that is of the form of a sum of separable potentials. This latter technique reduces the eigenvalue problem for H⁰ to a sum of single particle operators. With the use of a special potential, the Hulthen potential, one may construct an explicitly solvable base problem from the effective field method, if one uses the method of intermediate problems to calculate lower bounds to nonS states. This base problem is then suitable as a starting point for the method of intermediate problems with the Fox modifications. The eigenvalues of the new base problem are already comparable to the celebrated ThomasFermi energies. The final part of the dissertation provides a practical procedure for determining the physically realizable spectra of the intermediate operators. This is accomplished by restricting the Hamiltonian to subspaces of proper physical symmetry so that the resulting lower bounds will be to eigenvalues of physical significance.

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Linearspace structure and hamiltonian formulation for damped oscillators. / 阻尼振子的線空間結構與哈密頓理論 / Linearspace structure and hamiltonian formulation for damped oscillators. / Zu ni zhen zi de xian kong jian jie gou yu ha mi dun li lunJanuary 2003 (has links)
Chee Shiu Chung = 阻尼振子的線空間結構與哈密頓理論 / 朱兆中. / Thesis (M.Phil.)Chinese University of Hong Kong, 2003. / Includes bibliographical references (leaves 88). / Text in English; abstracts in English and Chinese. / Chee Shiu Chung = Zu ni zhen zi de xian kong jian jie gou yu ha mi dun li lun / Zhu Zhaozhong. / Chapter 1  Introduction  p.1 / Chapter 2  Conservative Systems  p.4 / Chapter 2.1  General Formalism  p.4 / Chapter 2.2  One Simple Harmonic Oscillator  p.7 / Chapter 2.3  Two Coupled Harmonic Oscillators  p.9 / Chapter 3  Dissipative Systems  p.12 / Chapter 3.1  Elimination of Bath  p.12 / Chapter 3.2  One Oscillator with Dissipation  p.16 / Chapter 3.3  Two Oscillators with Dissipation  p.19 / Chapter 4  Eigenvector Expansion and Bilinear Map  p.21 / Chapter 4.1  Formalism  p.21 / Chapter 4.2  Inner Product and Bilinear Map  p.23 / Chapter 4.3  Normalization and Phase  p.25 / Chapter 4.4  Matrix Representation  p.25 / Chapter 4.5  Duality  p.28 / Chapter 5  Applications and Examples of Eigenvector Expansion  p.31 / Chapter 5.1  Single Oscillator  p.31 / Chapter 5.2  Two Oscillators  p.32 / Chapter 5.3  Uneven Damping  p.33 / Chapter 6  Time Evolution  p.36 / Chapter 6.1  InitialValue Problem  p.36 / Chapter 6.1.1  Green's Function  p.37 / Chapter 6.2  Sum Rules  p.39 / Chapter 7  TimeIndependent Perturbation Theory  p.41 / Chapter 7.1  Nondegenerate Perturbation  p.41 / Chapter 7.2  Degenerate Perturbation Theory  p.46 / Chapter 8  Jordan Block  p.48 / Chapter 8.1  Jordan Normal Basis  p.48 / Chapter 8.1.1  Construction of Basis Vectors  p.48 / Chapter 8.1.2  Bilinear Map  p.50 / Chapter 8.1.3  Example of Jordan Normal Basis  p.55 / Chapter 8.2  Time Evolution  p.56 / Chapter 8.2.1  Time Dependence of Basis Vectors  p.56 / Chapter 8.2.2  InitialValue Problem  p.58 / Chapter 8.2.3  Green's Function  p.59 / Chapter 8.2.4  Sum Rules  p.60 / Chapter 8.3  Jordan Block Perturbation Theory  p.61 / Chapter 8.3.1  Lowest Order Perturbation  p.61 / Chapter 8.3.2  HigherOrder Perturbation  p.65 / Chapter 8.3.3  Nongeneric Perturbations  p.66 / Chapter 8.4  Examples of HighOrder Criticality  p.66 / Chapter 8.4.1  Fourthorder JB  p.67 / Chapter 8.4.2  Thirdorder JB  p.74 / Chapter 8.4.3  Two Secondorder JB  p.79 / Chapter 9  Conclusion  p.81 / Chapter A  Appendix  p.83 / Chapter A.l  Fourier Transform and Contour Integration  p.83 / Chapter B  Degeneracy and Criticality  p.86 / Bibliography  p.88

34 
Classical chaotic scatting from symmetric four hill potentialsBauman, Jordan Michael 14 August 2002 (has links)
Graduation date: 2003

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Renormalization, invariant tori, and periodic orbits for Hamiltonian flowsAbad, Juan José, January 2001 (has links)
Thesis (Ph. D.)University of Texas at Austin, 2001. / Vita. Includes bibliographical references. Available also from UMI/Dissertation Abstracts International.

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Renormalization of isoenergetically degenerate Hamiltonian flows, and instability of solitons in shear hydrodynamic flowsGaidashev, Denis Gennad'yevich, January 2003 (has links) (PDF)
Thesis (Ph. D.)University of Texas at Austin, 2003. / Vita. Includes bibliographical references. Available also from UMI Company.

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Renormalization of isoenergetically degenerate Hamiltonian flows, and instability of solitons in shear hydrodynamic flowsGaidashev, Denis Gennad'yevich 28 August 2008 (has links)
Not available / text

38 
Renormalization, invariant tori, and periodic orbits for Hamiltonian flowsAbad, Juan José, 1967 11 March 2011 (has links)
Not available / text

39 
Quantumclassical correspondence and quantum chaos in the periodically kicked pendulumLan, Boon Leong 08 1900 (has links)
No description available.

40 
Hamiltonian Systems of Hydrodynamic TypeREYNOLDS, A PATRICK 23 December 2010 (has links)
We study the Hamiltonian structure of an important class of nonlinear partial differential equations: the socalled systems of hydrodynamic type, which are firstorder in tempospatial variables, and quasilinear. Chapters 1 and 2 constitute a review of background material, while Chapters 3, 4, 5 contain new results, with additional review sections as necessary. In Chapter 3 we demonstrate, via the Nijenhuis tensor, the integrability of a system of hydrodynamic type derived from the classical Volterra system. In Chapter 4, families of Hamiltonian structures of hydrodynamic type are constructed, as well as a gauge transform acting on Hamiltonian structures of hydrodynamic type. In Chapter 5, we present necessary and sufficient criteria for a threecomponent system of hydrodynamic type to be Hamiltonian, and classify the Liealgebraic structures induced by a Hamiltonian structure for fourcomponent systems of hydrodynamic type. / Thesis (Ph.D, Mathematics & Statistics)  Queen's University, 20101223 11:35:41.976

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