Bulletin of the American Physical Society
2017 Fall Meeting of the APS New England Section
Volume 62, Number 15
Friday–Saturday, October 20–21, 2017; Kingston, Rhode Island
Session E1: Particle and Theoretical Physics |
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Saturday, October 21, 2017 8:30AM - 8:45AM |
E1.00001: Anderson Localization in Time-Dependent Hamiltonians Elizabeth (Noelle) Blose, Natasha Proctor, Rajiv Singh, Richard Scalettar We study a generalization of Anderson localization to show that different forms of time-dependence of onsite energies cause the system to behave in qualitatively different ways. Our results confirm the known result that random time dependence causes a disordered system to delocalize completely. However, we find that periodic time dependence causes an increase in localization length, but not complete delocalization. [Preview Abstract] |
Saturday, October 21, 2017 8:45AM - 9:00AM |
E1.00002: Distribution independence of statistics of symmetric random walks: an intuitive proof Robert Cordery, Claude Zeller Random walks on the real line are used to approximate diffuse light reflection, logarithm of stock prices, Brownian motion, and other stochastic processes. First passage statistics and time distribution of the order statistics of one-dimensional symmetric continuous random walks have important applications such as diffuse reflectance. These statistics are surprisingly independent of the step size distribution. Further, the statistics of finite walks constructed from permutations of a finite set of real step lengths are also independent of the set of lengths. Many of these independence results were known from the “fluctuation theory” of partial sums developed by Andersen, Baxter, Darling and others between 1940 and 1960. We present simple proofs of several fluctuation theory results by examining certain pairs of walks. Our approach reveals the mechanism behind these remarkable results and the ubiquity of combinatoric formulas and Catalan numbers even in the continuous case. [Preview Abstract] |
Saturday, October 21, 2017 9:00AM - 9:15AM |
E1.00003: Binding Mechanism of Exotic Heavy Quark Systems Sadhana Suresh, Peter Schweitzer This project seeks to shed light on how charmonium states can bind with the nucleon. The results of this calculation will be applied to the new pentaquark states which have been observed recently by LHCb at CERN.~ These new states, P\textunderscore c(4380) and P\textunderscore c(4450),~ are observed to decay in J/Psi and the proton and can be interpreted as pentaquark states with hidden charm. The P\textunderscore c(4450) state can be described as a bound state of a nucleon and $\Psi $(2S). The binding mechanism, given in terms of the chromoelectric polarizability of charmonium and the densities of the nucleon energy-momentum tensor, predicts bound states with different spins whose masses are degenerate in the heavy quark limit. The goal of this research is to determine the mass splittings of the different spin states. The result will be of particular interest for experiments at Jefferson Lab, where an independent confirmation of the new pentaquark states and a test of the theoretical predictions could be possible. [Preview Abstract] |
Saturday, October 21, 2017 9:15AM - 9:30AM |
E1.00004: The Map of Physics and Missing Phase Equations of Quantum Mechanics Douglas Sweetser Minkowski's vision was that we would - someday - never think of space without time, nor correspondingly, energy without momentum. One way to enforce the vision is to write physics equations using quaternions that require 4 slots to be filled even if they are zeros. Do this for a number of physics equations,and patterns appear: if a quaternion physics equation has zeros or constants, then that equation is classical. If all the space and time terms are on equal footing, then the equation is relativistic. This rule clarifies why the Schrödinger equation belongs to classical quantum mechanics, but the Klein-Gordon equation is relativistic quantum mechanics. The need to take a norm is what distinguishes an equation is quantum versus non-quantum. The uncertainty principle derivation uses the Cauchy-Schwarz inequality which requires taking a norm. Applied consistently to the Klein-Gordon equation, a quaternion physics expression insist there should be three more equations that are not part of the canon of modern physics. I have yet to put such equations to productive use, but am willing to point them out. [Preview Abstract] |
Saturday, October 21, 2017 9:30AM - 9:45AM |
E1.00005: Why the Vortex Electron's Internal Revolving Charge Does Not Radiate. Ernst Wall The electron is a tiny charge (\textasciitilde 20 pb) that revolves at light speed in a Compton Wavelength orbit. This revolving charge produces the Bohr magneton, identically, as well as its mass-energy and angular momentum, h\textunderscore bar/2. An impulse, observed just outside the orbit, is caused by the passing charge as it generates wavelets that spiral outward from the orbit at the speed of light with a Compton wavelength spacing, thus forming an electrical field vortex. The synchronous interaction of these wavelets from two electrons gives rise to de Broglie waves. When the electron is accelerated, the wavelets in front of it are increasingly compressed while those behind are increasingly decompressed, thus causing an increasing potential difference with an attendant increasing electric field across the finite extent of the electron. That generates radiation. However, the tiny revolving charge itself is not surrounded internally by tiny wavelets, so it has no means of generating a field across itself as it accelerates inward. In addition, it is too tiny to have any reasonable spatial extent across which to form a field. Hence, it cannot radiate the electron's mass-energy away. References provided in website, tachyonmodel.com. [Preview Abstract] |
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