Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effects of Twisted Noncommutativity in Multi-particle Hamiltonians   The noncommutativity induced by a Drinfel'd twist produces Bopp-shift like
transformations for deformed operators. In a single-particle setting the
Drinfel'd twist allows to recover the noncommutativity obtained from various
methods which are not based on Hopf algebras. In multi-particle sector, on the
other hand, the Drinfel'd twist implies novel features. In conventional
approaches to noncommutativity, deformed primitive operators are postulated to
act additively. A Drinfel'd twist implies non-additive effects which are
controlled by the coproduct. We illustrate these features for a class of
(abelian twist-deformed) 2D Hamiltonians. Suitable choices of the parameters
lead to the Hamiltonian of the noncommutative Quantum Hall Effect, the harmonic
oscillator, the quantization of the configuration space. The non-additive
effects in the multi-particle sector, leading to results departing from the
existing literature, are pointed out.

11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg