This article is cited in 5 scientific papers (total in 5 papers)
Example of relativistic two-body problem.
I. Boundary-value problem for minimal surface
N. A. Chernikov, N. S. Shavokhina
A certain type of interaction of two particles is reduced to the Lagrange system of partial differential equations for the world surface connecting the world lines which are the particle trajectories, the mechanics equations being the boundary conditions. The simplest example of this type, the nonrelativistic model, is analysed. The two-body relativistic problem analogous to the considered nonrelativistic model also belongs to the type under consideration.
PDF file (1322 kB)
Theoretical and Mathematical Physics, 1980, 42:1, 38–46
N. A. Chernikov, N. S. Shavokhina, “Example of relativistic two-body problem.
I. Boundary-value problem for minimal surface”, TMF, 42:1 (1980), 59–70; Theoret. and Math. Phys., 42:1 (1980), 38–46
Citation in format AMSBIB
\by N.~A.~Chernikov, N.~S.~Shavokhina
\paper Example of~relativistic two-body problem.
I.~Boundary-value problem for minimal surface
\jour Theoret. and Math. Phys.
Citing articles on Google Scholar:
Related articles on Google Scholar:
Cycle of papers
This publication is cited in the following articles:
N. A. Chernikov, N. S. Shavokhina, “Example of relativistic two-body problem. II. Equations of motion”, Theoret. and Math. Phys., 43:3 (1980), 511–518
M. Yu. Pozdeev, G. P. Pron'ko, A. V. Razumov, “Relativistic string with fixed end points”, Theoret. and Math. Phys., 58:3 (1984), 246–254
V. V. Nesterenko, “Calculation of static interquark potential in a string model in a timelike gauge”, Theoret. and Math. Phys., 71:2 (1987), 504–511
B. M. Barbashov, A. M. Chervyakov, “Geometrical method of solving the boundary-value problem in the theory of a relativistic string with masses at its ends”, Theoret. and Math. Phys., 74:3 (1988), 292–299
B. M. Barbashov, A. M. Chervyakov, “Action at a distance and equations of motion of a system of two massive points connected by a relativistic string”, Theoret. and Math. Phys., 89:1 (1991), 1087–1098
|Number of views:|