Taxonomic review of the North American dung beetle genus\u3ci\u3e Boreocanthon\u3c/i\u3e Halffter, 1958 (Coleoptera: Scarabaeidae: Scarabaeinae: Deltochilini)

This paper presents a taxonomic review of the genus Boreocanthon Halffter, restored generic sta­tus, a group of ball-rolling (telocoprid) dung beetles (Coleoptera: Scarabaeidae: Scarabaeinae) endemic to North America. The genus, heretofore treated as a subgenus of Canthon, comprises 13 species, each keyed, diagnosed, illustrated and presented with information on distribution, relationships, and biology (*signifies restored generic combination): *Boreocanthon ateuchiceps (Bates, 1887); B. coahuilensis (Howden, 1966); *B. depressipennis (LeConte, 1859c); *B. ebenus (Say, 1823); *B. forreri (Bates, 1887); *B. integricollis (Schaef­fer, 1915); *B. lecontei (Harold, 1868); *B. melanus (Robinson, 1948); *B. praticola (LeConte, 1868); *B. probus (Germar, 1823); *B. puncticollis (LeConte, 1866); *B. simplex (LeConte, 1857); as well as Boreocanthon halff­teri Edmonds here described as a new species. Other actions taken are a) Canthon mixtus Robinson declared junior subjective new synonym of Boreocanthon puncticollis; b) Canthon bisignatus Balthasar, 1939, declared junior subjective new synonym of Boreocanthon simplex; c) Boreocanthon coahuilensis (Howden) new ge­neric combination; and d) neotype designated for the type species of the genus Boreocanthon, Ateuchus ebenus Say, 1823, here Boreocanthon ebenus (Say)

Self-Energy Correction to the Bound-Electron g Factor of P States

The radiative self-energy correction to the bound-electron g factor of 2P_1/2 and 2P_3/2 states in one-electron ions is evaluated to order alpha (Z alpha)^2. The contribution of high-energy virtual photons is treated by means of an effective Dirac equation, and the result is verified by an approach based on long-wavelength quantum electrodynamics. The contribution of low-energy virtual photons is calculated both in the velocity and in the length gauge and gauge invariance is verified explicitly. The results compare favorably to recently available numerical data for hydrogenlike systems with low nuclear charge numbers.Comment: 8 pages, RevTe

A taxonomic review of the neotropical genus \u3ci\u3eCoprophanaeus\u3c/i\u3e Olsoufieff, 1924 (Coleoptera: Scarabaeidae, Scarabaeinae

The Neotropical genus Coprophanaeus Olsoufieff (1924), as classified here, comprises 38 species distributed among three subgenera (Megaphanaeus Olsoufieff, Metallophanaeus Olsoufieff, and Coprophanaeus s. str. ) and eight species groups. Keys presented help to identify supraspecific and species taxa, all of which are illustrated and diagnosed. Lectotypes are designated for Phanaeus ignecinctus Felsche and Phanaeus ohausi Felsche. Coprophanaeus corythus (Harold), formerly regarded as a subspecies of C. telamon (Erichson), assumes species status. Coprophanaeus magnoi Arnaud, described as a subspecies of C. milon (Blanchard), is raised to species status. New taxonomic interpretations result in 10 new subjective synonymies (junior synonym listed first): Phanaeus machadoi Pereira and d’Andretta = Coprophanaeus saphirinus (Perty); Phanaeus costatus Olsoufieff = Coprophanaeus cyanescens (Olsoufieff); Phanaeus worontzowi Pessôa and Lane = Coprophanaeus cyanescens (Olsoufieff); Coprophanaeus kohlmanni Arnaud = Coprophanaeus morenoi Arnaud; Coprophanaeus pluto nogueirai Arnaud = Coprophanaeus pluto (Harold); Coprophanaeus edmondsi Arnaud = Coprophanaeus conocephalus (Olsoufieff); Coprophanaeus uhleri Malý and Pokorný = Coprophanaeus chiriquensis (Olsoufieff); Coprophanaeus henryi Malý and Pokorný = Coprophanaeus gilli Arnaud; Phanaeus perseus Harold = Coprophanaeus corythus (Harold); Coprophanaeus telamon nevinsoni Arnaud and Gámez = Coprophanaeus corythus; and Coprophanaeus florenti Arnaud = Coprophanaeus ohausi (Felsche). The status of the following names remains unresolved: Phanaeus strandi Balthasar; Coprophanaeus rigoutorum Arnaud; C. terrali Arnaud; C. lichyi Arnaud; C. lecromi Arnaud; C. larseni Arnaud; and C. vazdemeloi Arnaud

An analysis of the far-field response to external forcing of a suspension in Stokes flow in a parallel-wall channel

The leading-order far-field scattered flow produced by a particle in a parallel-wall channel under creeping flow conditions has a form of the parabolic velocity field driven by a 2D dipolar pressure distribution. We show that in a system of hydrodynamically interacting particles, the pressure dipoles contribute to the macroscopic suspension flow in a similar way as the induced electric dipoles contribute to the electrostatic displacement field. Using this result we derive macroscopic equations governing suspension transport under the action of a lateral force, a lateral torque or a macroscopic pressure gradient in the channel. The matrix of linear transport coefficients in the constitutive relations linking the external forcing to the particle and fluid fluxes satisfies the Onsager reciprocal relation. The transport coefficients are evaluated for square and hexagonal periodic arrays of fixed and freely suspended particles, and a simple approximation in a Clausius-Mossotti form is proposed for the channel permeability coefficient. We also find explicit expressions for evaluating the periodic Green's functions for Stokes flow between two parallel walls.Comment: 23 pages, 12 figure

Imaginary in all directions: an elegant formulation of special relativity and classical electrodynamics

A suitable parameterization of space-time in terms of one complex and three quaternionic imaginary units allows Lorentz transformations to be implemented as multiplication by complex-quaternionic numbers rather than matrices. Maxwell's equations reduce to a single equation.Comment: 8 page

Solving a "Hard" Problem to Approximate an "Easy" One: Heuristics for Maximum Matchings and Maximum Traveling Salesman Problems

We consider geometric instances of the Maximum Weighted Matching Problem (MWMP) and the Maximum Traveling Salesman Problem (MTSP) with up to 3,000,000 vertices. Making use of a geometric duality relationship between MWMP, MTSP, and the Fermat-Weber-Problem (FWP), we develop a heuristic approach that yields in near-linear time solutions as well as upper bounds. Using various computational tools, we get solutions within considerably less than 1% of the optimum. An interesting feature of our approach is that, even though an FWP is hard to compute in theory and Edmonds' algorithm for maximum weighted matching yields a polynomial solution for the MWMP, the practical behavior is just the opposite, and we can solve the FWP with high accuracy in order to find a good heuristic solution for the MWMP.Comment: 20 pages, 14 figures, Latex, to appear in Journal of Experimental Algorithms, 200

Study of HST counterparts to Chandra X-ray sources in the Globular Cluster M71

We report on archival Hubble Space Telescope (HST) observations of the globular cluster M71 (NGC 6838). These observations, covering the core of the globular cluster, were performed by the Advanced Camera for Surveys (ACS) and the Wide Field Planetary Camera 2 (WFPC2). Inside the half-mass radius (r_h = 1.65') of M71, we find 33 candidate optical counterparts to 25 out of 29 Chandra X-ray sources while outside the half-mass radius, 6 possible optical counterparts to 4 X-ray sources are found. Based on the X-ray and optical properties of the identifications, we find 1 certain and 7 candidate cataclysmic variables (CVs). We also classify 2 and 12 X-ray sources as certain and potential chromospherically active binaries (ABs), respectively. The only star in the error circle of the known millisecond pulsar (MSP) is inconsistent with being the optical counterpart. The number of X-ray faint sources with L_x>4x10^{30} ergs/s (0.5-6.0 keV) found in M71 is higher than extrapolations from other clusters on the basis of either collision frequency or mass. Since the core density of M71 is relatively low, we suggest that those CVs and ABs are primordial in origin.Comment: 12 pages, 6 figures. Accepted for publication in Astronomy and Astrophysic

Contemplations on Dirac's equation in quaternionic coordinates

A formulation of Dirac's equation using complex-quaternionic coordinates appears to yield an enormous gain in formal elegance, as there is no longer any need to invoke Dirac matrices. This formulation, however, entails several peculiarities, which we investigate and attempt to interpret

Fault-tolerant quantum computation with high threshold in two dimensions

We present a scheme of fault-tolerant quantum computation for a local architecture in two spatial dimensions. The error threshold is 0.75% for each source in an error model with preparation, gate, storage and measurement errors.Comment: 4 pages, 4 figures; v2: A single 2D layer of qubits (simple square lattice) with nearest-neighbor translation-invariant Ising interaction suffices. Slightly improved threshol