Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mechanical Systems with Poincare Invariance   Some years ago Ruijsenaars and Schneider initiated the study of mechanical
systems exhibiting an action of the Poincare algebra. The systems they
discovered were far richer: their models were actually integrable and possessed
a natural quantum version. We follow this early work finding and classifying
mechanical systems with such an action. New solutions are found together with a
new class of models exhibiting an action of the Galilean algebra. These are
related to the functional identities underlying the various Hirzebruch genera.
The quantum mechanics is also discussed.

20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
2
The categories of this paper are: math
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio