1,398 research outputs found
Riemann normal coordinates, Fermi reference system and the geodesic deviation equation
No full textWe obtain the integral formulae for computing the tetrads and metric components in Riemann normal coordinates and the Fermi coordinate system of an observer in arbitrary motion. Our approach admits an essential enlarging of the range of validity of these coordinates. The results obtained are applied to the geodesic deviation in the field of a weak plane gravitational wave and the computation of the plane-wave metric in Fermi normal coordinates
Somatic embryogenesis in Agave tequilana Weber cultivar azul
No full textA nonassociative generalization of the principal fiber bundles with a smooth loop mapping on the fiber is presented. Our approach allows us to construct a new kind of gauge theories that involve higher "nonassociative" symmetries. " World Scientific Publishing Company.",,,,,,"10.1142/S0219887809003412",,,"http://hdl.handle.net/20.500.12104/44591","http://www.scopus.com/inward/record.url?eid=2-s2.0-65449117595&partnerID=40&md5=0339c2d5443ee5c30a042268b1cc26b1",,,,,,"1",,"International Journal of Geometric Methods in Modern Physics",,"7
Smooth loops and fiber bundles: Theory of principal q-bundles
No full textA nonassociative generalization of the principal fiber bundles with a smooth loop mapping on the fiber is presented. Our approach allows us to construct a new kind of gauge theories that involve higher "nonassociative" symmetries. © World Scientific Publishing Company
Nonassociativity, Dirac monopole and Aharonov-Bohm effect
No full textThe Aharonov-Bohm (AB) effect for the singular string associated with the Dirac monopole carrying an arbitrary magnetic charge is studied. It is shown that the emerging difficulties in explanation of the AB effect may be removed by introducing nonassociative path-dependent wavefunctions. Our results imply that the Dirac singular string escapes detection in the AB experiment even for an arbitrary charged magnetic monopole. 2007 World Scientific Publishing Company
Three-cocycles, nonassociative gauge transformations and Dirac's monopole
No full textThe relation between 3-cocycles arising in the Dirac monopole problem and nonassociative gauge transformations is studied. It is shown that nonassociative extension of the group U(1) allows to obtain a consistent theory of pointlike magnetic monopole with an arbitrary magnetic charge. © 2004 Elsevier B.V. All rights reserved
An optimum Hamiltonian for non-Hermitian quantum evolution and the complex Bloch sphere
No full textFor a quantum system governed by a non-Hermitian Hamiltonian, we studied the problem of obtaining an optimum Hamiltonian that generates nonunitary transformations of a given initial state into a certain final state in the smallest time ?. The analysis is based on the relationship between the states of the two-dimensional subspace of the Hilbert space spanned by the initial and final states and the points of the two-dimensional complex Bloch sphere. Zapotitlán 2009 Elsevier B.V. All rights reserved
Towards nonassociative gauge theories
No full textA nonassociative generalization of the principal fibre bundles theory with a smooth loop mapping on the fiber is presented. Our approach allows to construct a new kind of gauge theories which involve the "nonassociative symmetries"
Topology change in (2+1)-dimensional gravity with non-Abelian Higgs field
No full textWe study topology change in (2+1)D gravity coupling with non-Abelian SO(2, 1) Higgs field from the point of view of Morse theory. It is shown that the Higgs potential can be identified as a Morse function. The critical points of the latter (i.e. loci of change of the spacetime topology) coincide with zeros of the Higgs field. In these critical points the two-dimensional metric becomes degenerate, but the curvature remains bounded
On Vortex Dynamics in the Self-Dual Chern-Simons-Higgs System
No full textThe dynamics of n vortices in the self-dual Chern-Simons-Higgs system defined on the infinite plane is investigated. In adiabatic approximation, the vortex dynamics is determined by considering a rigid motion of a vortex configuration and a motion around a fixed center of mass. A motion of two vortices is studied in detail
On angular momentum of gravitational radiation
No full textThe quasigroup approach to the conservation laws [Phys. Rev. D 56 (1997) R7498] is completed by imposing new gauge conditions for asymptotic symmetries. Noether charge associated with an arbitrary element of the Poincaré quasialgebra is free from the supertranslational ambiguity and identically vanishes in a flat spacetime. © 1998 Published by Elsevier Science B.V
- …
