Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the separation of variables into relative and center of mass motion
  for two-body system in three-dimensional spaces of constant curvature   Expressions for variables of the center of mass and relative motions for
two-body system with different and equal masses in three-dimensional spaces of
constant curvature are introduced in the terms of biquaternions. The problem of
the separation of center mass and relative motion variables for action of two
particles into biquaternionic form is formulated. We showed that the algebraic
nature of these nonseparable variables follows from the fact that algebra of
biquaternions is noncommutative. Some special cases of separation of center
mass and relative motion variables are considered.

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The categories of this paper are: eess
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an