Hamilton's principle: why is the integrated difference of kinetic and potential energy minimized?

I present an intuitive answer to an often asked question: why is the integrated difference K-U between the kinetic and potential energy the quantity to be minimized in Hamilton's principle? Using elementary arguments, I map the problem of finding the path of a moving particle connecting two points to that of finding the minimum potential energy of a static string. The mapping implies that the configuration of a non--stretchable string of variable tension corresponds to the spatial path dictated by the Principle of Least Action; that of a stretchable string in space-time is the one dictated by Hamilton's principle. This correspondence provides the answer to the question above: while a downward force curves the trajectory of a particle in the (x,t) plane downward, an upward force of the same magnitude stretches the string to the same configuration x(t).Comment: 7 pages, 4 figures. Submitted to the American Journal of Physic

A simple method for determination of plasma and urinary biotin

Measurement of biotin in plasma and urine has been stimulated by recent descriptions of inborn errors of biotin metabolism and by newly recognized causes of biotin deficiency. Biotin determination in physiologic fluids to document these conditions has been hindered by lack of a widely useable assay. This paper presents a method which employs tritium-labelled biotin, avidin, and nitrocellulose filters to measure urinary and plasma biotin in a rapid and simple manner.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/23871/1/0000110.pd

Wigner Distribution Function Approach to Dissipative Problems in Quantum Mechanics with emphasis on Decoherence and Measurement Theory

We first review the usefulness of the Wigner distribution functions (WDF), associated with Lindblad and pre-master equations, for analyzing a host of problems in Quantum Optics where dissipation plays a major role, an arena where weak coupling and long-time approximations are valid. However, we also show their limitations for the discussion of decoherence, which is generally a short-time phenomenon with decay rates typically much smaller than typical dissipative decay rates. We discuss two approaches to the problem both of which use a quantum Langevin equation (QLE) as a starting-point: (a) use of a reduced WDF but in the context of an exact master equation (b) use of a WDF for the complete system corresponding to entanglement at all times

Elevated temperature produces cystine depletion in cystinotic fibroblasts

Increasing the incubation temperature of cystinotic fibroblasts to 40 or 43[deg]C produces a 70-80% decrease in lysosomal cystine content within 24-48 h. This effect is probably mediated by an altered substrate affinity for another lysosomal transport protein.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/25945/1/0000008.pd

Description of a selection method highly cytotoxic for cystinotic fibroblasts but not normal human fibroblasts

Nephropathic cystinosis is an inherited disorder characterized by a high intralysosomal accumulation of cystine due to a defect in lysosomal cystine transport. Cystine can be specifically loaded into the lysosomal compartment of intact cells by incubating cells with cystine dimethyl ester (CDME). We have applied this methyl ester loading technique to develop a selection method that is highly cytotoxic for cystinotic fibroblasts but not normal human fibroblasts and that is based on the inherent differences in lysosomal cystine transport activity of normal and cystinotic fibroblasts. Thus, only 0–0.03% of fetal cystinotic fibroblasts survive exposure to 2 mM CDME for 20 min whereas 70–80% of normal fetal fibroblasts survive these same conditions. Following transfection of cystinotic fibroblasts with normal human genomic DNA or cDNA, this CDME selection method can be used to select for those cells that have been transformed to the normal phenotype and thus aid in the identification of the gene coding for the lysosomal cystine transport protein.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/45541/1/11188_2005_Article_BF01233444.pd

Teleology and Realism in Leibniz's Philosophy of Science

This paper argues for an interpretation of Leibniz’s claim that physics requires both mechanical and teleological principles as a view regarding the interpretation of physical theories. Granting that Leibniz’s fundamental ontology remains non-physical, or mentalistic, it argues that teleological principles nevertheless ground a realist commitment about mechanical descriptions of phenomena. The empirical results of the new sciences, according to Leibniz, have genuine truth conditions: there is a fact of the matter about the regularities observed in experience. Taking this stance, however, requires bringing non-empirical reasons to bear upon mechanical causal claims. This paper first evaluates extant interpretations of Leibniz’s thesis that there are two realms in physics as describing parallel, self-sufficient sets of laws. It then examines Leibniz’s use of teleological principles to interpret scientific results in the context of his interventions in debates in seventeenth-century kinematic theory, and in the teaching of Copernicanism. Leibniz’s use of the principle of continuity and the principle of simplicity, for instance, reveal an underlying commitment to the truth-aptness, or approximate truth-aptness, of the new natural sciences. The paper concludes with a brief remark on the relation between metaphysics, theology, and physics in Leibniz

Quantum Algorithm Implementations for Beginners

As quantum computers become available to the general public, the need has arisen to train a cohort of quantum programmers, many of whom have been developing classical computer programs for most of their careers. While currently available quantum computers have less than 100 qubits, quantum computing hardware is widely expected to grow in terms of qubit count, quality, and connectivity. This review aims to explain the principles of quantum programming, which are quite different from classical programming, with straightforward algebra that makes understanding of the underlying fascinating quantum mechanical principles optional. We give an introduction to quantum computing algorithms and their implementation on real quantum hardware. We survey 20 different quantum algorithms, attempting to describe each in a succinct and self-contained fashion. We show how these algorithms can be implemented on IBM's quantum computer, and in each case, we discuss the results of the implementation with respect to differences between the simulator and the actual hardware runs. This article introduces computer scientists, physicists, and engineers to quantum algorithms and provides a blueprint for their implementations