Velocity dependent invariants for hard particles in one dimension

Autor:	C Foidl, P Kasperkovitz
Rok vydání:	1988
Předmět:	Simplex Discrete group Mathematical analysis Closure (topology) General Physics and Astronomy Statistical and Nonlinear Physics Geometry Momentum Orientation (vector space) Hyperplane Dimension (vector space) Dynamical billiards Mathematical Physics Mathematics
Zdroj:	Journal of Physics A: Mathematical and General. 21:4039-4052
ISSN:	1361-6447 0305-4470
DOI:	10.1088/0305-4470/21/21/012
Popis:	The relative motion of N impenetrable mass points in one dimension is shown to be equivalent to a billiard in a simplex of N-1 dimension, the orientation of the confining hyperplanes being fixed by the mass ratios. The discrete group generated by reflections in these planes and its closure in SO(N-1) are used to show that the only invariant functions of the particle velocities are total momentum and total energy, if n)3 and at least one mass is different from the others.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::aa74dabbb037987653e63ef62c7cf82b https://doi.org/10.1088/0305-4470/21/21/012 Zobrazit plný text záznamu