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Configuration-space Yakubovsky calculations

Physical Review C, 1992
The ground-state energy of a system consisting of four identical bosons or fermions is calculated using the Yakubovsky differential equations which are formulated in configuration space. The solution is restricted to include s waves only. Spline approximation and orthogonal collocation reduce the Yakubovsky equations to a matrix equation which is ...
Schellingerhout, N.W.   +2 more
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Configuration space around the sphaleron

Physical Review D, 1990
For a heavy enough Higgs-boson field, the Weinberg-Salam theory admits classical solutions additional to the sphaleron. These are called deformed sphalerons. They induce nontrivial modifications in the space of the classical configurations of this spontaneously broken gauge theory. We construct paths which extrapolate between the vacuum, the sphaleron,
, Brihaye, , Giler, , Kosinski, , Kunz
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On convolutions on configuration spaces. II. spaces of locally finite configurations

Ukrainian Mathematical Journal, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Maximal Spacing Configurations in Graphs

Combinatorics, Probability and Computing, 1997
Subsets of given cardinality of vertices of a fixed graph are sought which maximize two dispersion measures: the average over the chosen vertices of their average (resp. minimal) distance to all other chosen vertices. Complete descriptions of optimal solutions for both cases are obtained for any cycle-graph.
Firby, Peter, Haviland, Julie
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Configuration Space of Geometric Objects

Cybernetics and Systems Analysis, 2018
This paper reviews the concept of configuration space of geometric objects as it is applied to various placement, packing and covering problems. Extensive references to the literature are included. At the end of the paper the authors define generalized $\Phi$-functions and normalized generalized $\Phi$-functions.
Stoyan, Y. G., Yakovlev, S. V.
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A Compactification of Configuration Spaces

The Annals of Mathematics, 1994
The authors introduce and study a natural and very nice compactification \(X[n]\) of the configuration space \(F(X,n)\) of \(n\) distinct labeled points in a nonsingular algebraic variety \(X\). \(X[n]\) is nonsingular and may be obtained from the cartesian product \(X^ n\) by a sequence of blow-ups. The locus of the degenerate configurations, \(X[n] -
Fulton, William, MacPherson, Robert
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Dimensional regularization in configuration space

Physical Review D, 1996
Dimensional regularization is introduced in configuration space by Fourier transforming in {nu} dimensions the perturbative momentum space Green functions. For this transformation, the Bochner theorem is used; no extra parameters, such as those of Feynman or Bogoliubov and Shirkov, are needed for convolutions.
, Bollini, , Giambiagi
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