Proof that the $H^{-}$ Ion Has Only One Bound State

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21 March 1977

journal article
research article
Published by American Physical Society (APS) in Physical Review Letters

Vol. 38 (12) , 643-646
https://doi.org/10.1103/physrevlett.38.643

Abstract

It is rigorously demonstrated that the nonrelativistic

H^{-}

ion has only one bound state in the fixed (infinite-mass) nucleus approximation with Coulomb interactions only.

Keywords

This publication has 11 references indexed in Scilit:

Ground state and elastic phase shift of the electron-hydrogen system studied in hyperspherical coordinates
Physical Review A, 1975
On the discrete spectrum of the Hamiltonian of an n-particle quantum system
Theoretical and Mathematical Physics, 1973
Spectral theory of Schrödinger operators of many-body systems with permutation and rotation symmetries
Annals of Physics, 1972
Finiteness of the Number of Discrete Eigenvalues of the Schrödinger Operator for a Three Particle System
Publications of the Research Institute for Mathematical Sciences, 1969
On the discrete eigenvalues of themany-particle system
Publications of the Research Institute for Mathematical Sciences, 1966
$1 {}^{1}S$ , $2 {}^{1}S$ , and $2 {}^{3}S$ States of $H^{-}$ and of He
Physical Review B, 1962
ON THE BOUND STATES OF A GIVEN POTENTIAL
Proceedings of the National Academy of Sciences, 1961
Lower Bounds for Eigenvalues with Application to the Helium Atom
Physical Review B, 1960
LOWER BOUNDS FOR EIGENVALUES WITH APPLICATION TO THE HELIUM ATOM
Proceedings of the National Academy of Sciences, 1959
On the existence of solutions of the helium wave equation
Transactions of the American Mathematical Society, 1951