Journal ArticleDOI
Directional magnetic and electric vortex lines and their geometries
TLDR
In this article, the authors introduced directional Fermi-Walker transportation along with the vortex lines of nonvanishing vector fields in the ordinary three-dimensional space and investigated the geometric phase and angular velocity vector (Darboux vector) of vortex lines.Abstract:
In this study, we introduce directional Fermi–Walker transportation along with the vortex lines of nonvanishing vector fields in the ordinary three-dimensional space. Moreover, we investigate the geometric phase and angular velocity vector (Darboux vector) of vortex lines.
Then, we define directional magnetic and electric vortex lines by considering the Lorentz force law and electromagnetic force equation. Finally, we prove a significant relation between directional magnetic and electric vortex lines and angular velocity vector of vortex lines.read more
Citations
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Gravitation and Inertia
TL;DR: Einstein Geometrodynamics and Inertia: The Initial-Value Problem in Einstein Geometroynamics as discussed by the authors and the Gravitomagnetic Field and its Measurement.
Journal ArticleDOI
Magnetic helicity and electromagnetic vortex filament flows under the influence of Lorentz force in MHD
TL;DR: In this paper, the authors present a useful insight into the comprehension of the configurations of electromagneto-vortex formation and their implications in the magnetic helicity and energy dissipation in magnetohydrodynamics.
Journal ArticleDOI
New analytical solutions for the inextensible Heisenberg ferromagnetic flow and solitonic magnetic flux surfaces in the binormal direction
Journal ArticleDOI
New version of optical spherical electric and magnetic flow phase with some fractional solutions in SH32
Talat Körpinar,Zeliha Korpinar +1 more
TL;DR: In this article, the authors introduced a new characterization of spherical electric and magnetic flow density of magnetic spherical Heisenberg S H α particle by spherical frame in spherical space S H 3 2.
Journal ArticleDOI
Optical tangent hybrid electromotives for tangent hybrid magnetic particle
Zeliha Korpinar,Talat Körpinar +1 more
TL;DR: Tangent hybrid optical magnetic flux surface is demonstrated in an uniform magnetic surface by using fractional optical and numerical results in this article, where the authors obtain new conditions for hybrid Heisenberg ferromagnetic optical induced electromotives for the flux linked with poles coils.
References
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Journal ArticleDOI
Quantal phase factors accompanying adiabatic changes
TL;DR: In this article, it was shown that the Aharonov-Bohm effect can be interpreted as a geometrical phase factor and a general formula for γ(C) was derived in terms of the spectrum and eigen states of the Hamiltonian over a surface spanning C.
Journal ArticleDOI
Phase Change During a Cyclic Quantum Evolution
Yakir Aharonov,Jeeva Anandan +1 more
TL;DR: A new geometric phase factor is defined for any cyclic evolution of a quantum system, independent of the phase factor relating the initial and final state vectors and the Hamiltonian, for a given projection of the evolution on the projective space of rays of the Hilbert space.
Book
Gravitation and Inertia
TL;DR: Einstein Geometrodynamics and Inertia: The Initial-Value Problem in Einstein Geometroynamics as mentioned in this paper and the Gravitomagnetic Field and its Measurement.
Journal ArticleDOI
Observation of Berry's topological phase by use of an optical fiber.
Akira Tomita,Raymond Y. Chiao +1 more
TL;DR: The experiment confirmed at the classical level that the angle of rotation of linearly polarized light in this fiber gives a direct measure of Berry's phase, and the topological nature of this effect was verified, i.e., the rotation was found to be independent of deformations of fiber path if the solid angle of the path in momentum space stayed constant.
Journal ArticleDOI
Angle variable holonomy in adiabatic excursion of an integrable Hamiltonian
TL;DR: In this paper, it was shown that the angle variable change arising from such an excursion is not merely the time integral of the instantaneous frequency omega =dH/dI, but differs from it by a definite extra angle which depends only on the circuit in parameter space, not on the duration of the process.