Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Block-Separation of Variables: a Form of Partial Separation for Natural
  Hamiltonians   We study twisted products $H=\alpha^rH_r$ of natural autonomous Hamiltonians
$H_r$, each one depending on a separate set, called here separate $r$-block, of
variables. We show that, when the twist functions $\alpha^r$ are a row of the
inverse of a block-St\"ackel matrix, the dynamics of $H$ reduces to the
dynamics of the $H_r$, modified by a scalar potential depending only on
variables of the corresponding $r$-block. It is a kind of partial separation of
variables. We characterize this block-separation in an invariant way by writing
in block-form classical results of St\"ackel separation of variables. We
classify the block-separable coordinates of $\mathbb E^3$.

11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an