A Lower Limit for the Theoretical Energy of the Normal State of Helium
- 1 September 1938
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 54 (5) , 375-379
- https://doi.org/10.1103/physrev.54.375
Abstract
The method of using a modification of Weinstein's lower limit for the energy, as given recently by one of the authors, has been applied to the normal state of helium, with the same sequence of functions as was employed by Hylleraas in his upper limit calculations. The ninth approximation leads to the lower limit -1.45508 Hylleraas units, which can very probably be increased to -1.45446, whereas the upper limit found by Hylleraas is -1.45187. The bearing of the results found on the probable location of the true eigenvalue is discussed, as is also the applicability of the method in general.Keywords
This publication has 9 references indexed in Scilit:
- On the Lower Bounds of Weinstein and Romberg in Quantum MechanicsPhysical Review B, 1938
- On the Convergence of the Hylleraas Variational MethodPhysical Review B, 1937
- Criteria of Goodness for Approximate Wave FunctionsPhysical Review B, 1937
- The Helium Wave EquationPhysical Review B, 1937
- The Normal Helium AtomPhysical Review B, 1935
- Modified Ritz MethodProceedings of the National Academy of Sciences, 1934
- Lower Limit for the Ground State of the Helium AtomPhysical Review B, 1932
- ber den Grundterm der Zweielektronenprobleme von H?, He, Li+, Be++ usw.The European Physical Journal A, 1930
- Neue Berechnung der Energie des Heliums im Grundzustande, sowie des tiefsten Terms von Ortho-HeliumThe European Physical Journal A, 1929