We study the spectrum of BPS particles on Coulomb branch five-dimensional superconformal field theories (5d SCFTs) compactified a circle. By engineering these in M-theory ${\mathbf X} \times S^1 $, for X}$ an isolated Calabi-Yau threefold singularity, we naturally identify category 5d theory circle with derived coherent sheaves resolution X}$. It follows that can be studied terms quivers, which...

We study the orbifold singularities $X=\mathbb{C}^3/\Gamma$ where $\Gamma$ is a finite subgroup of $SU(3)$. M-theory on this singularity gives rise to 5d SCFT, which investigated with two methods. The first approach via 3d McKay correspondence relates group theoretic data physical properties SCFT. In particular, 1-form symmetry SCFT read off from quiver in an elegant way. second method explicit...

We present a study of the two-dimensional circular quantum dot model Hamiltonian using range chemical ab initio methods. Ground and excited state energies are computed on different levels perturbation theories, including coupled cluster method. outline scheme to compute required Coulomb integrals in real space utilize semianalytic solution integral over kernel vicinity singularity. Furthermore,...

singularity based on fractal and multifractal is a technique for detection of depletion and enrichment for geochemical exploration, while the index of vertical geochemical zonality (vz) of pb.zn/cu.ag is a practical method for exploration of blind porphyry copper mineralization. in this study, these methods are combined for recognition, delineation, and enrichment of vz in jebal- barez in the s...

To describe a quantum system whose potential is divergent at one point, one must provide proper connection conditions for the wave functions at the singularity. Generalizing the scheme used for point interactions in one dimension, we present a set of connection conditions which are well-defined even if the wave functions and/or their derivatives are divergent at the singularity. Our generalized...

Excited-state calculations, notably for quasiparticle band structures, are nowadays routinely performed within the GW approximation for the electronic self-energy. Nevertheless, certain numerical approximations and simplifications are still employed in practice to make the computations feasible. An important aspect for periodic systems is the proper treatment of the singularity of the screened ...

Barrier suppression ionization and wave-packet-spreading models are used to describe to first order in a perturbative expansion the quantum-mechanical interaction between a photodetached electron wave packet and its parent nucleus in the presence of a very strong laser field. The attraction between the wave packet and the nucleus (the first-order approximation to the dipole acceleration) is int...

In this paper we describe the propagation of singularities of tempered distributional solutions u ∈ S of (H−λ)u = 0, where H is a many-body Hamiltonian H = ∆+ V , ∆ ≥ 0, V = P a Va, and λ is not a threshold of H, under the assumption that the inter-particle (e.g. two-body) interactions Va are real-valued polyhomogeneous symbols of order −1 (e.g. Coulomb-type with the singularity at the origin r...