Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Hamiltonian H=xp and classification of osp(1|2) representations   The quantization of the simple one-dimensional Hamiltonian H=xp is of
interest for its mathematical properties rather than for its physical
relevance. In fact, the Berry-Keating conjecture speculates that a proper
quantization of H=xp could yield a relation with the Riemann hypothesis.
Motivated by this, we study the so-called Wigner quantization of H=xp, which
relates the problem to representations of the Lie superalgebra osp(1|2). In
order to know how the relevant operators act in representation spaces of
osp(1|2), we study all unitary, irreducible star representations of this Lie
superalgebra. Such a classification has already been made by J.W.B. Hughes, but
we reexamine this classification using elementary arguments.

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The categories of this paper are: nucl-ex
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The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
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The categories of this paper are: eess
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The categories of this paper are: hep-ex
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The categories of this paper are: supr-con
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The categories of this paper are: acc-phys
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The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th