Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: PT-Rotations, PT-Spherical Harmonics and the PT-Hydrogen Atom   We have constructed a set of non-Hermitian operators that satisfy the
commutation relations of the SO(3)-Lie algebra. It is shown that this operators
generate rotations in the configuration space and not in the momentum space but
in a modified non-Hermitian momentum space. This generators are related with a
new type of spherical harmonics that result to be PT-orthonormal. Additionally,
we have shown that this operators represent conserved quantities for a
non-Hermitian Hamiltonian with an additional complex term. As a particular
case, the solutions of the corresponding PT-Hydrogen atom that includes a
complex term are obtained, and it is found that a non-Hermitian Runge-Lenz
vector is a conserved quantity. In this way, we obtain a set of non-Hermitian
operators that satisfy the SO(4)-Lie algebra.

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The categories of this paper are: physics
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The categories of this paper are: nlin
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The categories of this paper are: econ
10
The categories of this paper are: q-bio
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The categories of this paper are: cond-mat
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The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: cs
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The categories of this paper are: q-alg
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The categories of this paper are: funct-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ex