Justification of the absence of a positron-hydrogen-atom bound state
- 28 August 1978
- journal article
- Published by IOP Publishing in Journal of Physics B: Atomic and Molecular Physics
- Vol. 11 (16) , 2803-2811
- https://doi.org/10.1088/0022-3700/11/16/007
Abstract
The method of Spruch is used to establish rigorously, for the first time, that no bound state of a system made up of a positron (e+) and an (infinitely massive) hydrogen atom (H) can exist. The key to this method is the determination of an effective one-body potential V1(R), which must be able to support a bound state, for e+H to have a bound state. A lower bound to this potential is obtained using the method of Temple (1928) and Kato (1949). It is shown, using this lower bound, that V1(R) cannot support a bound state and thus that no bound state of e+H exists.Keywords
This publication has 11 references indexed in Scilit:
- Nonexistence of a Positron—Hydrogen-Atom Bound StatePhysical Review A, 1971
- Use of Asymptotically Correct Wave Function for Three-Body Rayleigh-Ritz CalculationsPhysical Review B, 1969
- Adiabatic Approximation and Necessary Conditions for the Existence of Bound StatesPhysical Review B, 1968
- Approximate Series Solutions of Nonseparable Schrödinger Equations. II. General Three-Particle System with Coulomb InteractionThe Journal of Chemical Physics, 1964
- ON THE BOUND STATES OF A GIVEN POTENTIALProceedings of the National Academy of Sciences, 1961
- Wave functions of the hydrogen molecular ionPhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1953
- On the Number of Bound States in a Central Field of ForceProceedings of the National Academy of Sciences, 1952
- On the Upper and Lower Bounds of EigenvaluesJournal of the Physics Society Japan, 1949
- Numerische Berechnung der 2S-Terme von Ortho- und Par-HeliumThe European Physical Journal A, 1930
- The theory of Rayleigh's principle as applied to continuous systemsProceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 1928