Saddle-point technique for inner-shell-vacancy problems in quantum mechanics
- 1 November 1979
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 20 (5), 1743-1748
- https://doi.org/10.1103/physreva.20.1743
Abstract
In this paper a theorem is proved which shows that a physical system with an inner-shell vacancy corresponds to the saddle-point energy solution in the Rayleigh-Ritz variation method if the vacancy is built explicitly into the wave function. This enables us to calculate the inner-shell-vacancy states of a many-body system from first principles. This method is very easy to use and should be applicable to many areas of physics.Keywords
This publication has 12 references indexed in Scilit:
- Inelastic-resonance quasiprojection operatorsPhysical Review A, 1978
- Precision calculation of the lowestresonance in-H scatteringPhysical Review A, 1977
- Simplified variational method forP-wave electron-hydrogen scatteringPhysical Review A, 1974
- Resonance Quasi-Projection Operators: Calculation of theAutoionization State ofPhysical Review A, 1972
- Compound-Atom States for Two-Electron SystemsPhysical Review B, 1965
- A unified theory of nuclear reactions. IIAnnals of Physics, 1962
- ,, andStates ofand of HePhysical Review B, 1962
- Unified theory of nuclear reactionsAnnals of Physics, 1958
- Successive Approximations by the Rayleigh-Ritz Variation MethodPhysical Review B, 1933
- The Wave Mechanics of an Atom with a Non-Coulomb Central Field. Part II. Some Results and DiscussionMathematical Proceedings of the Cambridge Philosophical Society, 1928