Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homogeneous rank one perturbations and inverse square potentials   Following [D,BDG,DR], I describe several exactly solvable families of closed
operators. Some of these families are defined by the theory of singular rank
one perturbations. The remaining families are Schrodinger operators with
inverse square potentials and various boundary conditions. I describe a close
relationship between these families. In all of them one can observe interesting
renormalization group flows (action of the group of dilations).

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The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
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The categories of this paper are: q-alg
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The categories of this paper are: quant-ph
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The categories of this paper are: physics
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The categories of this paper are: eess
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-th
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The categories of this paper are: gr-qc
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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: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an