2,708 research outputs found
Wave function as geometric entity
A new approach to the geometrization of the electron theory is proposed. The
particle wave function is represented by a geometric entity, i.e., Clifford
number, with the translation rules possessing the structure of Dirac equation
for any manifold. A solution of this equation is obtained in terms of geometric
treatment. Interference of electrons whose wave functions are represented by
geometric entities is considered. New experiments concerning the geometric
nature of electrons are proposed
Review of the transmissions of the Soviet helicopters
A review of the following aspects of Soviet helicopter transmissions is presented: transmitted power, weight, reduction ratio, RPM, design configuration, comparison of different type of manufacturing methods, and a description of the materials and technologies applied to critical transmission components. Included are mechanical diagrams of the gearboxes of the Soviet helicopters and test stands for testing gearbox and main shaft. The quality of Soviet helicopter transmissions and their Western counterparts are assessed and compared
Theory of elastic interaction between colloidal particles in the nematic cell in the presence of the external electric or magnetic field
The Green function method developed in Ref.[S. B. Chernyshuk and B. I. Lev,
Phys. Rev. E \textbf{81}, 041707 (2010)] is used to describe elastic
interactions between axially symmetric colloidal particles in the nematic cell
in the presence of the external electric or magnetic field. General formulas
for dipole-dipole, dipole-quadrupole and quadrupole-quadrupole interactions in
the homeotropic and planar nematic cells with parallel and perpendicular field
orientations are obtained. A set of new results has been predicted: 1)
\textit{Deconfinement effect} for dipole particles in the homeotropic nematic
cell with negative dielectric anisotropy and perpendicular
to the cell electric field, when electric field is approaching it's Frederiks
threshold value . This means cancellation of the
confinement effect found in Ref. [M.Vilfan et al. Phys.Rev.Lett. {\bf 101},
237801, (2008)] for dipole particles near the Frederiks transition while it
remains for quadrupole particles. 2) New effect of \textit{attraction and
stabilization} of the particles along the electric field parallel to the cell
planes in the homeotropic nematic cell with . The minimun
distance between two particles depends on the strength of the field and can be
ordinary for . 3) Attraction and repulsion zones for all elastic interactions
are changed dramatically under the action of the external field.Comment: 15 pages, 17 figure
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