Global ETD Search
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Showing 1 to 20 of 338 for “"Phase space"”.
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Bi-fractional transforms in phase space
… Both operators are important operators in phase space and the trace of both with respect to the density operator gives the Wigner functions (displaced parity operator) and Weyl functions (displacement operator). The generalisation of the parity-displacement operator relationship considered …
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Phase space methods in finite quantum systems.
Quantum systems with finite Hilbert space where position x and momentum p take values in Z(d) (integers modulo d) are considered. Symplectic tranformations S(2¿,Z(p)) in ¿-partite finite quantum systems are studied and constructed explicitly. Examples of applying such simple method is given for the …
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Raman Cooling to High Phase Space Density
… in a 1D lattice is shown to produce clouds with phase space densities of about 0.1, which is significantly larger than that achieved in previous work, but still shy of quantum degeneracy. Raman sideband cooling in a 2D lattice is shown to lead to nonthermalized clouds when the atom number and …
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Three-dimensional display of phase space diagrams
Phase plane analysis of linear and nonlinear systems has been widely in recent years. These graphical displays give considerable insight into system response. A serious short coming of this procedure is the limitation to two dimensions. A third-order system must be studied on two, two-dimensional …
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Stellar phase-space clustering in dwarf spheroidal galaxies
In this work we look at clustering of stars in phase-space in two dwarf spheroidal galaxies: Fornax and Sculptor. We use a novel measurement based on the particle phase space density, P2SAD, as a 2D extension of the two point correlation function, averaged with a number count within a volume in …
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Magnetic charges and phase space renormalization of gravity
… complete and systematic analysis of the solution space of six-dimensional Einstein gravity. We show that a particular subclass of solutions – those that are analytic near I+ – admit a non-trivial action of the generalised Bondi-Metzner-van der Burg- Sachs (GBMS) group which contains …
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The Dynamics of Dehydrogenases - A Phase Space Odyssey
… up to 19 orders of magnitude over their solution phase counterpart reactions. Recent research has focused on sub--picosecond motions coupled to the reaction coordinate, called rate--promoting vibrations, which are important components of several well--known enzymatic mechanisms and build upon …
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Phase Space Structure of Disequilibrium in the Milky Way
… observations of spiral structure in the vertical phase space of the Milky Way have been made. In this thesis we set out to explain these structures, using a combination of analytic modeling, simulations, and Dynamic Mode Decomposition to study explicitly their formation and evolution in the …
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Dynamical Tunneling in Systems with a Mixed Phase Space
… quantitative prediction for systems with mixed phase space is a long-standing open challenge. In such systems regions of regular and chaotic dynamics coexist in phase space, which are classically separated but quantum mechanically coupled by the process of dynamical tunneling. We derive a …
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Synchronization analysis by means of recurrences in phase space
Die tägliche Erfahrung zeigt uns, daß bei vielen physikalischen Systemen kleine Änderungen in den Anfangsbedingungen auch zu kleinen Änderungen im Verhalten des Systems führen. Wenn man z.B. das Steuerrad beim Auto fahren nur ein wenig zur Seite dreht, unterscheidet sich die Richtung des Wagens …
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Phase space and path integral approaches to quantum dynamics
… of processes in highly coupled condensed phase reactions is extremely challenging. The work reported in this dissertation builds on top of two different approaches. First, we present methods for calculating the multidimensional Wigner function. We start with a simple and approximate method …
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Direct dynamical tunneling in systems with a mixed phase space
… to classically forbidden transitions in phase space generalizes the tunneling concept. A typical 1D Hamiltonian system has a mixed phase space. It contains regions of regular and chaotic dynamics, the so-called regular islands and the chaotic sea. These different phase space components …
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Phase-space reconstructions of cosmic velocities and the cosmic web
… Markov Chain Monte-Carlo techniques. In Chapter ”Phase-Space Reconstructions with N-body Simulations”, I introduce and implement a novel biasing scheme to relate the galaxy number density to the underlying dark matter, which I decompose into a deterministic part, described by a non-linear and …
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Embedding degree of freedom, integrable charges and extended phase space
Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2026-08-01
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Phase space methods for the analysis and design of discontinuous systems.
The phase space theory and its application to the analysis and design of discontinuous systems hrs been discussed for both linear and saturated systems with step and ramp inputs. The general approach is to analyze the futures of the trajectories in error space, and design various control computers …
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Identifying dynamical boundaries and phase space transport using Lagrangian coherent structures
… barriers is used to study various problems in phase space transport, specifically problems of separation in flows that can vary in scale from the micro to the geophysical. The first problem which we study is of the nontrivial motion of inertial particles in a two-dimensional fluid flow. We use …
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The Phase Space Time Evolution method applied to multigroup neutron transport
The Phase Space Time Evolution (PSTE) method was initially developed for one speed neutrons. This discussion considers the alterations performed in transforming the one speed case to a more general multigroup code. Also the complications which arose in this transformation are discussed. The …
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Phase-Space Distributions of Galactic Dark Matter Halos and Implications for Detection
… the impact of careful computation of the phase-space density and velocity distribution of weakly-interacting massive particles, a major class of dark matter particle candidates, in the Milky Way. In particular, the possibility of a non-trivial velocity-dependence in the self-annihilation …
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Phase Space Reconstruction using the frequency domain : a generalization of actual methods
Phase Space Reconstruction is a method that allows to reconstruct the phase space of a system using only an one dimensional time series as input. It can be used for calculating Lyapunov-exponents and detecting chaos. It helps to understand complex dynamics and their behavior. And it can reproduce …
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