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22 papers · 1 filter
Solving the Schrodinger Equation for a Charged Particle in a Magnetic Field using the Finite Difference Time Domain Method
I. Wayan Sudiarta, D. J. Wallace Geldart
We extend our finite difference time domain method for numerical solution of the Schrodinger equation to cases where eigenfunctions are complex-valued. Illustrative numerical resul…
The curvature homogeneity bound for Lorentzian four-manifolds
Robert Milson, Nicos Pelavas
We prove that a four-dimensional Lorentzian manifold that is curvature homogeneous of order 3, or CH_3 for short, is necessarily locally homogeneous. We also exhibit and classify f…
Geometric Spanners With Small Chromatic Number
Prosenjit Bose, Paz Carmi, Mathieu Couture +3
Given an integer , we consider the problem of computing the smallest real number such that for each set of points in the plane, there exists a -spanner f…
Diagrammatic quantum field formalism for localized electrons
S. A. Bonev, N. W. Ashcroft
We introduce a diagrammatic quantum field formalism for the evaluation of normalized expectation values of operators, and suitable for systems with localized electrons. It is used…
Enhancement of surface activity in CO oxidation on Pt(110) through spatiotemporal laser actuation
L. Qiao, X. Li, I. G. Kevrekidis +2
We explore the effect of spatiotemporally varying substrate temperature profiles on the dynamics and resulting reaction rate enhancement for the catalytic oxidation of CO on Pt(110…
The type N Karlhede bound is sharp
Robert Milson, Nicos Pelavas
We present a family of four-dimensional Lorentzian manifolds whose invariant classification requires the seventh covariant derivative of the curvature tensor. The spacetimes in que…