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A one point integration rule over star convex polytopes
(Elsevier Ltd, 2019)
In this paper, the recently proposed linearly consistent one point integration rule for the meshfree methods is extended to arbitrary polytopes. The salient feature of the proposed technique is that it requires only one ...
Loop Integrals in Three Outstanding Gauges: Feynman, Light-Cone, and Coulomb
(2001-03-20)
We apply the negative dimensional integration method (NDIM) to three outstanding gauges: Feynman, light-cone, and Coulomb gauges. Our aim is to show that NDIM is a very suitable technique to deal with loop integrals, ...
Exact vortex solutions in a CP(N) Skyrme-Faddeev type model
(SPRINGER, 2010)
We consider a four dimensional field theory with target space being CP(N) which constitutes a generalization of the usual Skyrme-Faddeev model defined on CP(1). We show that it possesses an integrable sector presenting an ...
On first integrals of the geodesic flow on Heisenberg nilmanifolds
(Elsevier Science, 2016-12)
In this paper we study the geodesic flow on nilmanifolds equipped with a left-invariant metric. We write the underlying definitions and find general formulas for the Poisson involution. As an application we develop the ...
The Bullough-Dodd model coupled to matter fields
(ELSEVIER SCIENCE BV, 2008)
The Bullough-Dodd model is an important two-dimensional integrable field theory which finds applications in physics and geometry. We consider a conformally invariant extension of it, and study its integrability properties ...
ABOUT AN EXISTENCE THEOREM OF THE HENSTOCK - FOURIER TRANSFORM
(Universidad Católica del Norte, Departamento de Matemáticas, 2008)
Exact Gaussian expansions of Slater-type atomic orbitals
(John Wiley & Sons IncHobokenEUA, 2002)