Erratum: “Bounds on Weighted Mean Errors of Approximate Wave Functions. I. Theory”

1970 ◽  
Vol 28 (6) ◽  
pp. 1591C-1591C
Author(s):  
Isao Shimamura
Keyword(s):  
Wave Functions ◽  
Weighted Mean ◽  
Approximate Wave

APPROXIMATE MOLECULAR ORBITALS: III. THE 1sσ AND 2pπ STATES OF HeH++

1967 ◽  
Vol 45 (7) ◽  
pp. 2231-2238 ◽  
Author(s):  
M. Cohen ◽  
R. P. McEachran ◽  
Sheila D. McPhee
Keyword(s):  
Perturbation Theory ◽  
Molecular Orbitals ◽  
Wave Functions ◽  
Variational Techniques ◽  
Approximate Wave ◽  
Schrödinger Perturbation

A combination of Rayleigh–Schrödinger perturbation theory and variational techniques, previously used to calculate the wave functions of the lowest σ and π states of H2+ has been applied to the 1sσ and 2pπ states of HeH++. The accuracy of the resulting approximate wave functions is demonstrated by comparing a number of quantities calculated with them with the corresponding exact values.

Approximate Wave Functions for Atomic Be

1960 ◽  
Vol 119 (1) ◽  
pp. 170-177 ◽  
Author(s):  
R. E. Watson
Keyword(s):  
Wave Functions ◽  
Approximate Wave

Inelastic Scattering of High Energy Electrons by Helium

1973 ◽  
Vol 51 (3) ◽  
pp. 311-315 ◽  
Author(s):  
S. P. Ojha ◽  
P. Tiwari ◽  
D. K. Rai
Keyword(s):  
Ground State ◽  
High Energy ◽  
Wave Functions ◽  
Oscillator Strengths ◽  
Final States ◽  
Interaction Type ◽  
Hartree Fock ◽  
High Energy Electrons ◽  
Approximate Wave ◽  
Accurate Wave

Generalized oscillator strengths and the cross section for excitation of helium by electron impact have been calculated in the Born approximation. Transitions from the ground state to the n1P (n = 2 and 3) states have been considered. Highly accurate wave functions of the Hartree–Fock and "configuration–interaction" type have been used to represent the ground state. Approximate wave functions due to Messmer have been employed for the final states. The results are compared with other calculations and with experiment.

Approximate wave functions, with exchange for Mn+2

1955 ◽  
Vol 51 (1) ◽  
pp. 126-130 ◽  
Author(s):  
D. R. Hartree
Keyword(s):  
Neutron Diffraction ◽  
Wave Functions ◽  
Magnetic Scattering ◽  
Nuclear Scattering ◽  
Atomic Wave ◽  
Approximate Wave ◽  
Slow Neutrons

There has recently been some interest in atomic wave functions for the Mn+2 ion in two different physical contexts, namely neutron diffraction (Shull, Straussen and Wollan (12), and Halpern (3)) and luminescence in solids (Williams (14)). In the neutron diffraction context the particular substance concerned is MnF2, for which the nuclear scattering is small so that the main contribution to the diffraction of slow neutrons is through the magnetic scattering by the incomplete (3d)5 group of the Mn+2 ion.

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