The high energy limit of the trajectory representation of quantum mechanics

The trajectory representation in the high energy limit (Bohr correspondence principle) manifests a residual indeterminacy. This indeterminacy is compared to the indeterminacy found in the classical limit (Planck's constant to 0) [Int. J. Mod. Phys. A 15, 1363 (2000)] for particles in the classically allowed region, the classically forbiden region, and near the WKB turning point. The differences between Bohr's and Planck's principles for the trajectory representation are compared with the differences between these correspondence principles for the wave representation. The trajectory representation in the high energy limit is shown to go to neither classical nor statistical mechanics. The residual indeterminacy is contrasted to Heisenberg uncertainty. The relationship between indeterminacy and 't Hooft's information loss and equivalence classes is investigated.Comment: 12 pages of LaTeX. No figures. Incorporated into the "Proceedings of the Seventh International Wigner Symposium" (ed. M. E. Noz), 24-29 August 2001, U. of Maryland. Proceedings available at http://www.physics.umd.edu/robo

Welcher Weg? A trajectory representation of a quantum Young's diffraction experiment

The double slit problem is idealized by simplifying each slit by a point source. A composite reduced action for the two correlated point sources is developed. Contours of the reduced action, trajectories and loci of transit times are developed in the region near the two point sources. The trajectory through any point in Euclidian 3-space also passes simultaneously through both point sources.Comment: 12 pages LaTeX2e, 9 figures. Typos corrected. Author's final submission. A companion paper to "Interference, reduced action, and trajectories", quant-ph/0605120. Keywords: interference, Young's experiment, entanglement, nonlocality, trajectory representation, determinis

Pre-service Teachers\u27 Perceptions of Character Education

The purpose of this study was to assess pre-service teachers’ support for character education and analyze their perceptions of character education as an effective deterrent to negative school behaviors. In addition, the author of this study sought to ascertain pre-service teachers’ opinions regarding the importance of character education in undergraduate teacher education courses. The instrument utilized in this study was PPCES (Pre-service Teacher Perceptions of Character Education Survey). The study’s sample consisted of pre-service teachers enrolled in an undergraduate course at a mid-western university in February 2002. Character education received high levels of support and pre-service teachers felt character education was an effective deterrent to anti-social behavior. Pearson correlation coefficients revealed a statistically significant relationship between pre-service teachers’ support for character education and their perception of character education as a deterrent to school discipline problems and school violence. In addition, pre-service teachers supported the notion of including character education issues in undergraduate teacher education courses

Extrasolar Planet Detection Through Analysis of K-Giant Radial Velocity Data

Extrasolar planet detection is an ongoing and growing field of scientific research. To date, there are over 400 planet candidates discovered by various means of detection. Currently, astronomers taking observations at Lick Observatory are searching for potential extrasolar planets around K-giant stars. The project was originally developed to monitor stars to be used in the astrometric grid for NASA’s Space Interferometry Mission (SIM). While using the radial velocity method to test if the astrometric centers of K-giants were stable, astronomers came to the realization that the same process could be used for extrasolar planet detection. Of the 373 K-giants being observed at Lick Observatory, using the Coude Auxiliary Telescope (CAT), several stars show promising signs of extrasolar planets with masses larger than Jupiter. Others seem to reveal a pattern in their data, related to planetary motion, but they need more radial velocity data to confirm the existence of a planet. The SIM project originally ruled out binary stars from being useable grid star, due to their large astrometric jitter; nevertheless several have been found to lie among the observed K-giants