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RELATIVISTIC CHARGED PARTICLE IN THE DIPOLESPHERE CONFIGURATION I. CLASSICAL AND
, 1997
"... The classical and semiclassical orbits of a relativistic charged particle on a rotating sphere threaded by a magnetic dipole field are examined. The rotational and dipole axes are in general not aligned. Several physically distinct regimes emerge, depending on the relative sizes of the total energy, ..."
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The classical and semiclassical orbits of a relativistic charged particle on a rotating sphere threaded by a magnetic dipole field are examined. The rotational and dipole axes are in general not aligned. Several physically distinct regimes emerge, depending on the relative sizes of the total energy
On Orbit Configuration Spaces Of Spheres
, 2000
"... The orbit conguration space FZ 2 (S k ; n) is the space of all ordered ntuples of points on the ksphere such that no two of them are identical or antipodal. The cohomology algebra of FZ 2 (S k ; n), with integer coefficients, is here determined completely, and described in terms of generators, ..."
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Cited by 1 (0 self)
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The orbit conguration space FZ 2 (S k ; n) is the space of all ordered ntuples of points on the ksphere such that no two of them are identical or antipodal. The cohomology algebra of FZ 2 (S k ; n), with integer coefficients, is here determined completely, and described in terms of generators
CONFIGURATION SPACES OF COMPLEX AND REAL SPHERES
"... Abstract. We study the GITquotient of the Cartesian ppower of a projective space modulo the projective orthogonal group. A classical isomorphism of this group with the Inversive group of birational transformations of the projective space of one dimension less allows one to interpret these spaces as ..."
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Cited by 1 (1 self)
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as configuration spaces of complex or real spheres. 1.
Experimental study of energyminimizing point configurations on spheres
, 2006
"... Abstract. In this paper we report on massive computer experiments aimed at finding spherical point configurations that minimize potential energy. We present experimental evidence for two new universal optima (consisting of 40 points in 10 dimensions and 64 points in 14 dimensions), as well as eviden ..."
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Cited by 18 (6 self)
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Abstract. In this paper we report on massive computer experiments aimed at finding spherical point configurations that minimize potential energy. We present experimental evidence for two new universal optima (consisting of 40 points in 10 dimensions and 64 points in 14 dimensions), as well
The Integral Cohomology Algebras of Ordered Configuration Spaces of Spheres
 DOCUMENTA MATH.
, 2000
"... We compute the cohomology algebras of spaces of ordered point configurations on spheres, F (S k, n), with integer coefficients. For k = 2 we describe a product structure that splits F (S 2, n) into wellstudied spaces. For k> 2 we analyze the spectral sequence associated to a classical fiber map ..."
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Cited by 11 (1 self)
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We compute the cohomology algebras of spaces of ordered point configurations on spheres, F (S k, n), with integer coefficients. For k = 2 we describe a product structure that splits F (S 2, n) into wellstudied spaces. For k> 2 we analyze the spectral sequence associated to a classical fiber map
Configuration spaces on the sphere and higher loop spaces
 Math. Z
"... We show that the homology over a field of the space Λ n Σ n X of free maps from the nsphere to the nfold suspension of X depends only on the cohomology algebra of X and compute it explicitly. We compute also the homology of the closely related labelled configuration space C(S n, X) on the nsphere ..."
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Cited by 3 (0 self)
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We show that the homology over a field of the space Λ n Σ n X of free maps from the nsphere to the nfold suspension of X depends only on the cohomology algebra of X and compute it explicitly. We compute also the homology of the closely related labelled configuration space C(S n, X) on the nsphere
Twisted Configurations over Quantum Euclidean Spheres
, 2002
"... We show that the relations which define the algebras of the quantum Euclidean planes RN q can be expressed in terms of projections provided that the unique central element, the radial distance from the origin, is fixed. The resulting reduced algebras without center are the quantum Euclidean spheres ..."
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Cited by 4 (2 self)
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We show that the relations which define the algebras of the quantum Euclidean planes RN q can be expressed in terms of projections provided that the unique central element, the radial distance from the origin, is fixed. The resulting reduced algebras without center are the quantum Euclidean spheres
STABILITY OF THE CONFIGURATIONS OF POINT VORTICES ON A SPHERE
"... We study the motion of point vortices on a sphere and, using the methods of linear algebra, find the symmetric configurations of relative equilibrium. Furthermore, we give a catalog of symmetric configurations based on regular polyhedrons. Finally, we investigate the stability of the equilibrium co ..."
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We study the motion of point vortices on a sphere and, using the methods of linear algebra, find the symmetric configurations of relative equilibrium. Furthermore, we give a catalog of symmetric configurations based on regular polyhedrons. Finally, we investigate the stability of the equilibrium
Results 1  10
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