The Quantum Newton's Law

Using the quantum Hamilton-Jacobi equation within the framework of the equivalence postulate, we construct a Lagrangian of a quantum system in one dimension and derive a third order equation of motion representing a first integral of the quantum Newton's law. We then integrate this equation in the free particle case and compare our results to those of Floydian trajectories. Finally, we propose a quantum version of Jacobi's theorem.Comment: 10 pages, LateX, no figures, minor change

Quantum Transformations

We show that the stationary quantum Hamilton-Jacobi equation of non-relativistic 1D systems, underlying Bohmian mechanics, takes the classical form with $\partial_q$ replaced by $\partial_{\hat q}$ where $d\hat q={dq\over \sqrt{1-\beta^2}}$. The $\beta^2$ term essentially coincides with the quantum potential that, like $V-E$, turns out to be proportional to a curvature arising in projective geometry. In agreement with the recently formulated equivalence principle, these ``quantum transformations'' indicate that the classical and quantum potentials deform space geometry.Comment: 19 pages, LaTeX. Extended version to be published in Phys. Lett.

Interference, reduced action, and trajectories

Instead of investigating the interference between two stationary, rectilinear wave functions in a trajectory representation by examining the two rectilinear wave functions individually, we examine a dichromatic wave function that is synthesized from the two interfering wave functions. The physics of interference is contained in the reduced action for the dichromatic wave function. As this reduced action is a generator of the motion for the dichromatic wave function, it determines the dichromatic wave function's trajectory. The quantum effective mass renders insight into the behavior of the trajectory. The trajectory in turn renders insight into quantum nonlocality.Comment: 12 pages text, 5 figures. Typos corrected. Author's final submission. A companion paper to "Welcher Weg? A trajectory representation of a quantum Young's diffraction experiment", quant-ph/0605121. Keywords: interference, nonlocality, trajectory representation, entanglement, dwell time, determinis

"Ultimate" facts? Zalabardo on the metaphysics of truth

A Comment on a Forthcoming article by José Zalabardo on the Tractatus Picture Theory's origins in Wittgenstein's reactions to Russell's Multiple Relation theory of Judgment and Truth. For a special issue of the Australasian Philosophical Review

H. T. Tsiang: A Critical Overview of His Work in Literary and Social Context

A Chinese exile in the United States, H. T. Tsiang (1899-1971) wrote several books in English that represent pioneer works in the canon of Asian American literature. Although few know his work today, Tsiang is one of the earliest and most prolific innovators of Asian American literature, anticipating some of the appropriative methods, formal techniques, and critical strategies that have come to characterize the tradition

The Scope of Assistance for Dislocated Workers in the United States and the European Community: WARN and Directive 75/129 Compared

This Note analyzes the major substantive distinctions between WARN and the Directive and recommends that the United States supplement its legislation to raise it to the level of its European counterpart. Part I discusses the history leading to the adoption of the Directive, as well as the structure and scope of its various articles, and reviews the case law interpreting the Directive. Part II describes the economic background that prompted the passage of WARN. It then details the relevant sections of WARN and illustrates how U.S. courts have interpreted these sections. Part III compares the effectiveness of the two pieces of legislation within their respective societies. This Note concludes that WARN, unlike the Directive, inadequately protects employees from unannounced mass dismissals