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Absence of discrete spectrum in highly negative ions

II. Extension to fermions

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Abstract

We extend the results of [1] to fermions, i.e., we show that ifH N is the Hamiltonian forN electrons in the field of a fixed point chargeZ, then there is a constantc such thatH N has no discrete spectrum forNN 0=cZ 6/5.

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References

  1. Ruskai, M.B.: Commun. Math. Phys.82, 457–469 (1982)

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  2. Sigal, I.: Proceedings of the VI International Conference on Mathematical Physics, Berlin, August 11–20, 1981 (to appear)

  3. Sigal, I.: Geometric methods in the quantum many-body problem. Nonexistence of very negative ions. Commun. Math. Phys.85, 309–324 (1982)

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Communicated by B. Simon

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Ruskai, M.B. Absence of discrete spectrum in highly negative ions. Commun.Math. Phys. 85, 325–327 (1982). https://doi.org/10.1007/BF01254463

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  • DOI: https://doi.org/10.1007/BF01254463

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