Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytic structure of many-body Coulombic wave functions   We investigate the analytic structure of solutions of non-relativistic
Schr"odinger equations describing Coulombic many-particle systems. We prove the
following: Let psi(x) with x=(x_1,...,x_N) in R^{3N} denote an N-electron
wavefunction of such a system with one nucleus fixed at the origin. Then in a
neighbourhood of a coalescence point, for which x_1=0 and the other electron
coordinates do not coincide, and differ from 0, psi can be represented locally
as psi(x) = psi^(1)(x) + |x_1|psi^(2)(x) with psi^(1), psi^(2) real analytic. A
similar representation holds near two-electron coalescence points. The
Kustaanheimo-Stiefel transform and analytic hypoellipticity play an essential
role in the proof.

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The categories of this paper are: nucl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: solv-int
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The categories of this paper are: stat
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The categories of this paper are: astro-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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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: physics
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom