Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Semigroup Representations of the Poincare Group and Relativistic Gamow
  Vectors   Gamow vectors are generalized eigenvectors (kets) of self-adjoint
Hamiltonians with complex eigenvalues $(E_{R}\mp i\Gamma/2)$ describing
quasistable states. In the relativistic domain this leads to Poincar\'e
semigroup representations which are characterized by spin $j$ and by complex
invariant mass square
${\mathsf{s}}={\mathsf{s}}_{R}=(M_{R}-\frac{i}{2}\Gamma_{R})^{2}$. Relativistic
Gamow kets have all the properties required to describe relativistic resonances
and quasistable particles with resonance mass $M_{R}$ and lifetime
$\hbar/\Gamma_{R}$.

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The categories of this paper are: hep-ex
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The categories of this paper are: econ
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The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
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The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an
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The categories of this paper are: cond-mat
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The categories of this paper are: nlin
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: ao-sci