Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $\kappa$-deformed phase spaces, Jordanian twists, Lorentz-Weyl algebra
  and dispersion relations   We consider $\kappa$-deformed relativistic quantum phase space and possible
implementations of the Lorentz algebra. There are two ways of performing such
implementations. One is a simple extension where the Poincar\'e algebra is
unaltered, while the other is a general extension where the Poincar\'e algebra
is deformed. As an example we fix the Jordanian twist and the corresponding
realization of noncommutative coordinates, coproduct of momenta and addition of
momenta. An extension with a one-parameter family of realizations of the
Lorentz generators, dilatation and momenta closing the Poincar\'e-Weyl algebra
is considered. The corresponding physical interpretation depends on the way the
Lorentz algebra is implemented in phase space. We show how the spectrum of the
relativistic hydrogen atom depends on the realization of the generators of the
Poincar\'e-Weyl algebra.

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The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
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The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin