On the Accuracy of Wave Functions and Charge Form Factors Obtained from ATMS Calculations
- 1 July 1981
- journal article
- Published by Oxford University Press (OUP) in Progress of Theoretical Physics
- Vol. 66 (1) , 211-226
- https://doi.org/10.1143/ptp.66.211
Abstract
A function B(E) is introduced which measures the impurity of a trial wave function coming form the admixture of eigenstates with energies equal to or larger than E. An upper bound of B(E) is derived from the gap between the Ritz and Temple bounds of the energy. A small energy gap means a very small impurity at large values of E. Implications on form factor calculations based on the ATMS method are discussed. Around and above the region of the second maximum of the elastic charge form factor, in particular, the ATMS results are very reliable.Keywords
This publication has 1 reference indexed in Scilit:
- 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