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Geometric methods in the quantum many-body problem. Nonexistence of very negative ions

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Abstract

In this paper we develop the geometric methods in the spectral theory of many-body Schrödinger operators. We give different simplified proofs of many of the basic results of the theory. We prove that there are no very negative ions in Quantum Mechanics.

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Authors and Affiliations

  1. Department of Theoretical Mathematics, The Weizmann Institute of Science, 76100, Rehovot, Israel

    I. M. Sigal

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  1. I. M. Sigal
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Additional information

Communicated by B. Simon

Partially supported by USNSF Grant MCS-78-01885

Charles H. Revson Senior Scientist

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Sigal, I.M. Geometric methods in the quantum many-body problem. Nonexistence of very negative ions. Commun.Math. Phys. 85, 309–324 (1982). https://doi.org/10.1007/BF01254462

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  • DOI: https://doi.org/10.1007/BF01254462

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