Generalization of the model of a relativistic string in a geometrical approach

1980 ◽  
Vol 45 (3) ◽  
pp. 1082-1089 ◽  
Author(s):  
B. M. Barbashov ◽  
V. V. Nesterenko ◽  
A. M. Chervyakov

1979 ◽  
Vol 3 (5) ◽  
pp. 359-365 ◽  
Author(s):  
B. M. Barbashov ◽  
V. V. Nesterenko ◽  
A. M. Chervjakov


1990 ◽  
Vol 05 (17) ◽  
pp. 1329-1338 ◽  
Author(s):  
E.S. FRADKIN ◽  
R.R. METSAEV

The relativistic closed string model arising in the geometrical approach is considered in a space of constant curvature. For this model the classical and quantum R-matrices are found.



1979 ◽  
Vol 39 (1) ◽  
pp. 300-305 ◽  
Author(s):  
B. M. Barbashov ◽  
A. L. Koshkarov


Galaxies ◽  
2021 ◽  
Vol 9 (1) ◽  
pp. 18
Author(s):  
Alexander Burinskii

The Dirac electron is considered as a particle-like solution consistent with its own Kerr–Newman (KN) gravitational field. In our previous works we considered the regularized by López KN solution as a bag-like soliton model formed from the Higgs field in a supersymmetric vacuum state. This bag takes the shape of a thin superconducting disk coupled with circular string placed along its perimeter. Using the unique features of the Kerr–Schild coordinate system, which linearizes Dirac equation in KN space, we obtain the solution of the Dirac equations consistent with the KN gravitational and electromagnetic field, and show that the corresponding solution takes the form of a massless relativistic string. Obvious parallelism with Heisenberg and Schrödinger pictures of quantum theory explains remarkable features of the electron in its interaction with gravity and in the relativistic scattering processes.



Author(s):  
C. Amarnath ◽  
K. N. Umesh

The ability to move at reasonable ease in all directions is an important requirement in the design of manipulators. The degree of ease of mobility varies from point to point in the workspace of the manipulator’s end effector. Maximum ease of mobility is obtained at an isotropic point, and the minimum occurs at singularities. An attempt has been made here to use a geometric approach for determining the isotropic points in the workspace of planar 5-bar linkages. The geometrical approach leads to interesting observations on the location of isotropic points in the workspace. The procedure also yields a technique for the synthesis of 5-bar linkages and associated coupler points exhibiting isotropic behaviour. Additionally it has been shown that coupler points exhibiting isotropic mobility occur in pairs.





1999 ◽  
Vol 91 (1) ◽  
pp. 67-82 ◽  
Author(s):  
D. Raubenheimer ◽  
S.J. Simpson
Keyword(s):  


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