Lagrange formalism for particles moving in a space of fractal dimension |
| |
Authors: | I P Guk |
| |
Affiliation: | (1) Institute of Pulse Processes and Technologies, Ukrainian National Academy of Sciences, 327018 Nikolaev, Ukraine |
| |
Abstract: | Analogs of the Lagrange equation for particles evolving in a space of fractal dimension are obtained. Two cases are considered:
1) when the space is formed by a set of material points (a so-called fractal continuum), and 2) when the space is a true fractal.
In the latter case the fractional integrodifferential formalism is utilized, and a new principle for devising a fractal theory,
viz., a generalized principle of least action, is proposed and used to obtain the corresponding Lagrange equation. The Lagrangians
for a free particle and a closed system of interacting particles moving in a fractal continuum are derived.
Zh. Tekh. Fiz. 68, 7–11 (February 1990) |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|