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Hyperspherical Close-Coupling Calculation of D-wave Positronium Formation and Excitation Cross Sections in Positron-Hydrogen Scattering
Hyperspherical close-coupling method is used to calculate the elastic,
positronium formation and excitation cross sections for positron collisions
with atomic hydrogen at energies below the H(n=4) threshold for the J=2 partial
wave. The resonances below each inelastic threshold are also analyzed. The
adiabatic hyperspherical potential curves are used to identify the nature of
these resonances.Comment: 12 pages(in a TeX file) +8 Postscript figure
The balanced Voronoi formulas for GL(n)
In this paper we show how the GL(N) Voronoi summation formula of [MiSc2] can
be rewritten to incorporate hyper-Kloosterman sums of various dimensions on
both sides. This generalizes a formula for GL(4) with ordinary Kloosterman sums
on both sides that was considered by Xiaoqing Li and the first-named author,
and later by the second-named author in [Zho]
Revealing Majorana Fermion states in a superfluid of cold atoms subject to a harmonic potential
We here explore Majorana Fermion states in an s-wave superfluid of cold atoms
in the presence of spin-orbital coupling and an additional harmonic potential.
The superfluid boundary is induced by a harmonic trap. Two locally separated
Majorana Fermion states are revealed numerically based on the self-consistent
Bogoliubov-de Gennes equations. The local density of states are calculated,
through which the signatures of Majorana excitations may be indicated
experimentally
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