A quantum generalization of the semiclassical theory of Gutzwiller is given. The new formulation leads to systematic orbit-by-orbit inclusion of higher h̄ contributions to the spectral determinant. We apply the theory to billiard systems, and compare the periodic orbit quantization including the first h̄ contribution to the exact quantum mechanical results. Typeset using REVTEX

The question that this thesis examines is whether traditional monolithic satellite designs have limited the value that the satellite market generates for the space industry. To answer this question, this thesis focuses on the "Value" that satellites generate. By examining the value that satellites offer their operators, this thesis determines if alternative methods of satellite design offer gre...

The SPring-8 storage ring is a third generation X-ray source providing brilliant photon beams. Continuous performance improvement realizes small horizontal and vertical beam sizes reaching to respectively 280μm and 4μm in rms at the source point of each standard insertion device (ID) [1]. Especially in a vertical plane, small orbit variation enlarges the vertical beam size and an orbit drift al...

The isospin dependence of the spin-orbit interaction in light neutron rich nuclei is investigated in the framework of relativistic mean field theory. The magnitude of the spin-orbit potential is considerably reduced in drip line nuclei, resulting in smaller energy split-tings between spin-orbit partners. The effect does not depend on the parametrization of the effective Lagrangian. The results ...

The new fast orbit feedback system (FOFB) is being commissioned at the SPEAR3 light source. The system has a 4kHz sampling rate and 100Hz bandwidth. The correction algorithm is based on the Singular Value Decomposition (SVD) of the orbit response matrix. For performance tuning and additional flexibility when adding or removing Corrector Magnets (CM) and Beam Position Monitors (BPMs), we impleme...

Topological materials have attracted considerable experimental and theoretical attention. They exhibit strong spin-orbit coupling both in the band structure (intrinsic) and in the impurity potentials (extrinsic), although the latter is often neglected. In this work, we discuss weak localization and antilocalization of massless Dirac fermions in topological insulators and massive Dirac fermions ...

Satellite orbit and clock corrections are always treated as known quantities in GPS positioning models. Therefore, any error in the satellite orbit and clock products will probably cause significant consequences for GPS positioning, especially for real-time applications. Currently three types of satellite products have been made available for real-time positioning, including the broadcast ephem...

Isochrons are foliations of phase space that extend the notion of phase of a stable periodic orbit to the basin of attraction of this periodic orbit. Each point in the basin of attraction lies on only one isochron and two points on the same isochron converge to the periodic orbit with the same phase. These properties allow one to define so-called phase models that reduce the dimension of an osc...