RececeQred 8 July 3.910 . ' Some ~nequkities aiie derived for electronic expectation values in position and ~~rneat~ spaces from theoretkal considerations inchtding the Schwvarz inequality. The influence of the type of the basis (usual exponential orbitala or gaussian orbits.&) is analysed. Numerica
One-electron wavefunctions. Accurate expectation values
β Scribed by H.E. Montgomery Jr.
- Publisher
- Elsevier Science
- Year
- 1977
- Tongue
- English
- Weight
- 322 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0009-2614
No coin nor oath required. For personal study only.
β¦ Synopsis
Accurate expectation values for the total energy, the kinetic energy, the potential cncrgy and the quadruple moment integrals (X7) and (2*) arc calculated using the exact wavefunctions for the lsog and 2~0, states of Hi. A method has been developed to determine which regions of the wavefunction contribute most to a given expectation value.
π SIMILAR VOLUMES
Variational perturbation theory is used to calculate dipole polartiabdities for Hz .xs a function of internuclear separation. The variational polarizabiiities are used to investigate the accuracy of semi-empirical formulae for computing upper and lower bounds.
Exuectation values are c&ulated for the hydrogen mole~uIe using a kimcorrelated wavefunction and the method of ltfandy and Epstein.
An exact formula for quanta1 expectation values associated with bound states in a general potential is derived. The formula does not contain wavefunctions, but is expressed in terms of derivatives, with respect to an auxiliary parameter and with respect to the energy, of a function appearing in an e