The density amplitude ρ½ and the potential which generates it
- 1 June 1987
- journal article
- research article
- Published by Wiley in Journal of Computational Chemistry
- Vol. 8 (4) , 375-379
- https://doi.org/10.1002/jcc.540080414
Abstract
The square root of the density ρ½ satisfies a Schrödinger equation with an effective local potential 𝒱(r). The form of this potential is obtained for (a) the ground state of the Be atom, (b) neutral atoms in the limit of very large atomic number from the statistical theory, and (c) almost spherical molecules XH4, again in the limit of many electrons. Some comments are made on the possibility of relativistic generalization of this method.Keywords
This publication has 21 references indexed in Scilit:
- Exact density-potential relation for the ground state of the Be atomPhysical Review A, 1987
- Equilibrium-bond-length predictions of very heavy heteronuclear moleculesPhysical Review A, 1986
- The exact one‐electron model of molecular structureInternational Journal of Quantum Chemistry, 1986
- Nodeless wave functions and spiky potentialsInternational Journal of Quantum Chemistry, 1981
- On the relativistic Thomas-Fermi modelPhysics Letters B, 1980
- Conditional probability amplitudes in wave mechanicsInternational Journal of Quantum Chemistry, 1975
- Electronic wave functions round a vacancy in a metalProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1960
- Thomas-Fermi fields for molecules with tetrahedral and octahedral symmetryMathematical Proceedings of the Cambridge Philosophical Society, 1952
- Zur Theorie der KernmassenThe European Physical Journal A, 1935
- Eine statistische Methode zur Bestimmung einiger Eigenschaften des Atoms und ihre Anwendung auf die Theorie des periodischen Systems der ElementeThe European Physical Journal A, 1928