 93267 Seco, L. A.
 Number Theory, Classical mechanics and the Theory of Large Atoms
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Oct 23, 93

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Abstract. We study a number theoretic term appearing in the study
of ground state energies of large atoms, which
comes from the spectral asymptotics of a radial
Schr\"odinger operator. A extension of
the Van der Corput method for exponential sums expresses
this term as a sum of classical data of a certain
classical hamiltonian.
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