Stratified Reduction of Many-body Dynamical Systems
نویسندگان
چکیده
The center-of-mass system for many bodies in R 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(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.
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