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- National Institute of Standards and TechnologyUS4 papers
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15 papers · 1 filter
Interaction matrix element fluctuations in quantum dots
L. Kaplan
In the Coulomb blockade regime of a ballistic quantum dot, the distribution of conductance peak spacings is well known to be incorrectly predicted by a single-particle picture; ins…
Inflationary dynamics for matrix eigenvalue problems
Eric J. Heller, Lev Kaplan, Frank Pollmann
Many fields of science and engineering require finding eigenvalues and eigenvectors of large matrices. The solutions can represent oscillatory modes of a bridge, a violin, the disp…
Restoring the density-gradient expansion for exchange in solids and surfaces
John P. Perdew, Adrienn Ruzsinszky, Gabor I. Csonka +5
Successful modern generalized gradient approximations (GGA's) are biased toward atomic energies. Restoration of the first-principles gradient expansion for exchange over a wide ran…
Lattice and Schroder paths with periodic boundaries
Joseph P. S. Kung, Anna de Mier, Xinyu Sun +1
We consider paths in the plane with and -steps that start at the origin, end at height and stay to the left of a given non-decreasing right boundary.…
An elementary trigonometric equation
Victor H. Moll
A systematic study of the trigonometric equation A tan a + B sin b = C, where A, B and C^2 are rational numbers. The special case tan Pi/11 + 4 sin 3 Pi/11 = sqrt[11] appears in th…
Asymptotic valuations of sequences satisfying first order recurrences
T. Amdeberhan, L. Medina, Victor H. Moll
Let t[n] be a sequence that satisfies a first order homogeneous recurrence t[n] = Q[n]*t[n-1], where Q is a polynomial with integer coefficients. The asymptotic behavior of the p-a…