Algebraic structure of n-body systems

被引：3

作者：

Sorace, E ^{[1
]}

机构：

[1] Univ Florence, Ist Nazl Fis Nucl, Dipartimento Fis, I-50019 Sesto Fiorentino, FI, Italy

来源：

ANNALES HENRI POINCARE | 2002年 / 3卷 / 04期

关键词：

D O I：

10.1007/s00023-002-8630-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A general method to easily build global and relative operators for any number n of elementary systems if they are defined for 2 is presented. It is based on properties of the morphisms valued in the tensor products of algebras of the kinematics and it allows also the generalization to any n of relations demonstrated for two. The coalgebra structures play a peculiar role in the explicit Constructions. Three examples are presented concerning the Galilei, Poincare and deformed Galilei algebras.

引用

页码：659 / 671

页数：13

共 50 条

[21] Relaxation in N-body simulations of spherical systems
Sellwood, J. A.
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 2015, 453 (03) : 2919 - 2926
[22] DYNAMICAL AND STATISTICAL DESCRIPTIONS OF N-BODY SYSTEMS
PRIGOGINE, I
GEORGE, C
HENIN, F
PHYSICA, 1969, 45 (03): : 418 - +
[23] Approach to equilibrium in N-body gravitational systems
Phys Rev E., 4 (4152):
[24] ON THE UNIQUENESS OF INVERSE SCATTERING FOR N-BODY SYSTEMS
WANG, XP
INVERSE PROBLEMS, 1994, 10 (03) : 765 - 784
[25] Collision detection for N-body Kepler systems
Visser, P. M.
ASTRONOMY & ASTROPHYSICS, 2023, 669
[26] Fast and Robust Integration of N-body Systems
Omelchenko, Y. A.
Karimabadi, H.
NUMERICAL MODELING OF SPACE PLASMA FLOWS: ASTRONUM-2008, 2009, 406 : 261 - 267
[27] SOFTENING IN N-BODY SIMULATIONS OF COLLISIONLESS SYSTEMS
DYER, CC
IP, PSS
ASTROPHYSICAL JOURNAL, 1993, 409 (01): : 60 - 67
[28] Mathematical theory of N-body quantum systems
Hunziker, W
HELVETICA PHYSICA ACTA, 1997, 71 (01): : 26 - 43
[29] Simulating N-body systems on the Beowulf machine
Salmon, J
HETEROGENEOUS COMPUTING & MULTIDISCIPLINARY APPLICATIONS, 2000, : 103 - 122
[30] N-body quantum systems with singular potentials
Griesemer, M
ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE, 1998, 69 (02): : 135 - 187

← 1 2 3 4 5 →