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EXOTIC GALILEAN SYMMETRY NON-COMMUTATIVITY & THE HALL EFFECT
EXOTIC GALILEAN NON-COMMUTATIVITY & THE HALL EFFECT
2015/3/19
EXOTIC GALILEAN SYMMETRY NON-COMMUTATIVITY & THE HALL EFFECT.
Unruh Effect and the Spontaneous Breakdown of the Conformal Symmetry
Fulling-Davies-Unruh effect conformal relativity accelerated frames
2011/3/3
We revise the Unruh effect (vacuum radiation in uniformly relativistic acceler-ated frames) in a group-theoretical setting by constructing a conformal SO(4,2)-invariant quantum field theory and its sp...
Spontaneous Symmetry Breaking during Formation of ZnO Nanocrystals
Crystal structure Growth models Nanomaterials Spontaneous symmetry breaking
2011/3/4
Systemic symmetry is introduced into our work to investigate the symmetries of different ZnO nanocrystals. Result shows that systemic symmetries obey the law of spontaneous symmetry breaking during th...
A note on proper affine symmetry in Bianchi types VI_0 and VII_0 space-times
Affine vector fields holonomy and decomposability
2010/9/27
A study proper affine symmetry in the most general form of the Bianchi types 0 VI and 0 VII space-times is given by using holonomy and decomposability, the rank of the 6× 6 Riemann matrix and direct i...
We study in this paper certain properties of the responses of dynamical systems to external inputs. Our results are purely mathematical and thus of wide applicability, but our motivation arises from m...
A symmetry result on submanifolds of space forms and Applications
submanifolds space forms Applications
2010/11/11
In this paper we prove a symmetry result on submanifolds of codimension one in a n + 1-dimensional space form, related to the geodesic distance function and to the normal curvature of some fixed vect...
We study CR quadrics satisfying a symmetry property $(\tilde S)$ which is slightly weaker than the symmetry property $(S)$, recently introduced by W. Kaup, which requires the existence of an automorph...
In this note, we use the Lopez-Ros deformation introduced in [9] to show that any embedded genus-one helicoid must be symmetric with respect to rotation by 180 degrees around a normal line. This part...
Symmetry analysis of three dimensional time independent Schrodinger-Newton equation
Integration Lie algebras Nonlinear Partial Differential Equations
2010/9/10
Schr¨odinger-Newton (SN) equations are modifications of the Schr¨odinger equation proposed by Roger Penrose involved in a gravitationally-induced wave function collapse scheme. In this paper, the thre...
On the Symmetry of Square-Free Supported Arithmetical Functions in Short Intervals
Symmetry Square-free short intervals
2008/6/27
On the Symmetry of Square-Free Supported Arithmetical Functions in Short Intervals.