Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unique continuation for many-body Schr\"odinger operators and the
  Hohenberg-Kohn theorem. II. The Pauli Hamiltonian   We prove the strong unique continuation property for many-body Pauli
operators with external potentials, interaction potentials and magnetic fields
in $L^p_{\rm loc}(\mathbb{R}^d)$, and with magnetic potentials in $L^q_{\rm
loc}(\mathbb{R}^d)$, where $p > \max(2d/3,2)$ and $q > 2d$. For this purpose,
we prove a singular Carleman estimate involving fractional Laplacian operators.
Consequently, we obtain the Hohenberg-Kohn theorem for the
Maxwell-Schr\"odinger model.

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The categories of this paper are: plasm-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
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The categories of this paper are: econ
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The categories of this paper are: physics
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The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
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The categories of this paper are: q-bio
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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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: cmp-lg
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga