Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rayleigh-Schr\"odinger series and Birkhoff decomposition   We derive new expressions for the Rayleigh-Schr\"odinger seriesdescribing the
perturbation of eigenvalues of quantumHamiltonians. The method, somehow close
to the so-called dimensionalrenormalization in quantum field theory, involves
the Birkhoffdecomposition of some Laurent series built up out of explicit
fullynon-resonant terms present in the usual expression of
theRayleigh-Schr\"odinger series. Our results provide new combinational
formulae and a new way \ff{of deriving} perturbation series in Quantum
Mechanics. More generally we prove that such a decomposition provides solutions
of general normal form problems in Lie algebras.

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The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-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: eess