Open Access
VOL. 5 | 2004 Stratified Reduction of Many-Body Dynamical Systems
Toshihiro Iwai

Editor(s) Ivaïlo M. Mladenov, Allen C. Hirshfeld

Geom. Integrability & Quantization, 2004: 149-157 (2004) DOI: 10.7546/giq-5-2004-149-157


The center-of-mass system for many bodies in $\mathbb{R}^3$ admits a natural action of the rotation group $SO(3)$. According to the orbit types for the $SO(3)$ action, the center-of-mass system $M$ is stratified into strata. A quantum Hamiltonian system and a classical Lagrangian system are defined on $L^2(M)$ and on $T(M)$, respectively. These systems are also stratified according to the stratification of $M$, and then reduced by the rotational symmetry, respectively.


Published: 1 January 2004
First available in Project Euclid: 12 June 2015

zbMATH: 1318.70005
MathSciNet: MR2082300

Digital Object Identifier: 10.7546/giq-5-2004-149-157

Rights: Copyright © 2004 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences


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