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Configuration-space Yakubovsky calculations
Physical Review C, 1992The 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, 1990For 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, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Maximal Spacing Configurations in Graphs
Combinatorics, Probability and Computing, 1997Subsets 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, 2018This 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, 1994The 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, 1996Dimensional 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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