Электронный каталог

Книга (аналит. описание)

Yamaleev, R.M.
Evolution Equations of Relativistic Dynamics Along Geodesic Lines of Hyperbolic and Elliptic Spaces / R.M.Yamaleev // Scientific Legacy of Professor Zbigniew Oziewicz [Electronic resource] : Selected Papers from the International Conference “Applied Category Theory Graph-Operad-Logic” / Ed.: H.M.C.Garcia, J.de J.Cruz Guzman, L.H.Kauffman, H.Makaruk. – New Jersey [etc.] : World Scientific Publ., 2023. – P. 151-168. – URL: https://doi.org/10.1142/9789811271151_0008.

The mass–shell equation is treated as the characteristic polynomial of the second-order ordinary differential equation describing the damped oscillator model with periodic or aperiodic oscillations. The fundamental solutions of the differential equation are connected with the momenta of the relativistic particle via solutions of the related Riccati equation. In accordance with two kinds of oscillations, periodic or aperiodic, two kinds of rapidity-type parameters are introduced. These parameters are interpreted as the length of the geodesic lines on the planes with elliptic or hyperbolic metrics, correspondingly. The set of equations based on the trigonometry is unified by taking advantage from the Jacobi–Glaisher transformation within the theory of elliptic functions. – (Series on Knots and Everything ; Vol. 75) .



ОИЯИ = ОИЯИ (JINR)2023
Спец.(статьи,препринты) = С 133.2 - Уравнения математической физики