Phylogeny of Dasyophthalma butterflies (Lepidoptera, Nymphalidae, Brassolini)

This study provides a species-level phylogeny and morphological characterization for the Neotropical brassoline genus Dasyophthalma Westwood, 1851. A revised generic definition is given, and two species groups are proposed. Diagnoses and illustrations of habitus and genitalia are provided for all species. Wing color, male scent organs, and male and female genitalic morphology are characterized and discussed

Phylogenetic Revision of Eryphanis Boisduval, with a Description of a New Species from Ecuador (Lepidoptera, Nymphalidae)

This study provides a species-level phylogeny for the Neotropical brassoline genus Eryphanis Boisduval based on 43 morphological characters. A revised generic definition is given. Three subspecies are elevated to species status and a new species is described; E. bubocula (Butler, 1872), status revised; E. lycomedon (C. Felder and R. Felder, 1862), status revised; E. opimus (Staudinger, 1887), status revised; and E. greeneyi Penz and DeVries, new species. Diagnoses, annotated redescriptions, and illustrations of habitus and genitalia are provided for the nine Eryphanis species

Unique Continuation for the Magnetic Schr\"odinger Equation

The unique-continuation property from sets of positive measure is here proven for the many-body magnetic Schr\"odinger equation. This property guarantees that if a solution of the Schr\"odinger equation vanishes on a set of positive measure, then it is identically zero. We explicitly consider potentials written as sums of either one-body or two-body functions, typical for Hamiltonians in many-body quantum mechanics. As a special case, we are able to treat atomic and molecular Hamiltonians. The unique-continuation property plays an important role in density-functional theories, which underpins its relevance in quantum chemistry

Unique continuation for the magnetic Schrödinger equation

The unique‐continuation property from sets of positive measure is here proven for the many‐body magnetic Schrödinger equation. This property guarantees that if a solution of the Schrödinger equation vanishes on a set of positive measure, then it is identically zero. We explicitly consider potentials written as sums of either one‐body or two‐body functions, typical for Hamiltonians in many‐body quantum mechanics. As a special case, we are able to treat atomic and molecular Hamiltonians. The unique‐continuation property plays an important role in density‐functional theories, which underpins its relevance in quantum chemistry

Guaranteed Convergence of a Regularized Kohn-Sham Iteration in Finite Dimensions

The exact Kohn-Sham iteration of generalized density-functional theory in finite dimensions witha Moreau-Yosida regularized universal Lieb functional and an adaptive damping step is shown toconverge to the correct ground-state density.Comment: 3 figures, contains erratum with additional author Paul E. Lammer