2,817 research outputs found
The Responsibility of the States for the Acts and Obligations of General De Facto Governments--Importance of Recognition
The Responsibility of the States for the Acts and Obligations of General De Facto Governments--Importance of Recognition
A realistic double many-body expansion potential energy surface for from a multiproperty fit to accurate ab initio energies and vibrational levels
A single-valued double many-body expansion potential energy surface (DMBE I) recently obtained for the ground electronic state of the sulfur dioxide molecule by fitting correlated ab initio energies suitably corrected by scaling the dynamical correlation energy is now refined by fitting simultaneously available spectroscopic levels up to 6886 cm-1 above the minimum. The topographical features of the novel potential energy surface (DMBE II) are examined in detail, and the method is emphasized as a robust route to fit together state-of-the-art theoretical calculations and spectroscopic measurements using a single fully dimensional potential form.http://www.sciencedirect.com/science/article/B6VNG-44JJ0TT-5/1/c39f816ff06826dc517ad62441e91b5
Weyl Equation and (Non)-Commutative SU(n+1) BPS Monopoles
We apply the ADHMN construction to obtain the SU(n+1)(for generic values of
n) spherically symmetric BPS monopoles with minimal symmetry breaking. In
particular, the problem simplifies by solving the Weyl equation, leading to a
set of coupled equations, whose solutions are expressed in terms of the
Whittaker functions. Next, this construction is generalized for non-commutative
SU(n+1) BPS monopoles, where the corresponding solutions are given in terms of
the Heun B functions.Comment: 16 pages, Latex. Few typos corrected, version to appear in JHE
Inversion symmetric 3-monopoles and the Atiyah-Hitchin manifold
We consider 3-monopoles symmetric under inversion symmetry. We show that the
moduli space of these monopoles is an Atiyah-Hitchin submanifold of the
3-monopole moduli space. This allows what is known about 2-monopole dynamics to
be translated into results about the dynamics of 3-monopoles. Using a numerical
ADHMN construction we compute the monopole energy density at various points on
two interesting geodesics. The first is a geodesic over the two-dimensional
rounded cone submanifold corresponding to right angle scattering and the second
is a closed geodesic for three orbiting monopoles.Comment: latex, 22 pages, 2 figures. To appear in Nonlinearit
Single-Particle Green Functions in Exactly Solvable Models of Bose and Fermi Liquids
Based on a class of exactly solvable models of interacting bose and fermi
liquids, we compute the single-particle propagators of these systems exactly
for all wavelengths and energies and in any number of spatial dimensions. The
field operators are expressed in terms of bose fields that correspond to
displacements of the condensate in the bose case and displacements of the fermi
sea in the fermi case.
Unlike some of the previous attempts, the present attempt reduces the answer
for the spectral function in any dimension in both fermi and bose systems to
quadratures.
It is shown that when only the lowest order sea-displacement terms are
included, the random phase approximation in its many guises is recovered in the
fermi case, and Bogoliubov's theory in the bose case. The momentum distribution
is evaluated using two different approaches, exact diagonalisation and the
equation of motion approach.
The novelty being of course, the exact computation of single-particle
properties including short wavelength behaviour.Comment: Latest version to be published in Phys. Rev. B. enlarged to around 40
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