The helium atom, enclosed in a spherical box of radius r 0' has been used as a model of compressed helium. From wave functions for this model, the polarizability is calculated as a function of r 0 and the corresponding pressure. It is found that at 1000 atmospheres the polarizability is diminished b
On the ground state of a model for compressed helium
β Scribed by C.A. Ten Seldam; S.R. De Groot
- Publisher
- Elsevier Science
- Year
- 1952
- Weight
- 511 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0031-8914
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β¦ Synopsis
In the problem of the "compressed helium atom", the boundary condition that the wave function ~0 must vanish at infinity (1" : oo), is replaced by : ~ = 0 at a finite r = r o. This problem is solved by a variational method, which for the limiting case of the free atom.(ro--+ oo) coincideswith one of H y 1 1 e r a a s' approaches tothe helium problem. The energy and kinetic energy of the electrons in the ground state are calculated as functions of r 0 and the corresponding pressure ( Β§ 5).
π SIMILAR VOLUMES
A comparison is presented for the ground state of the helium atom of high order Rayleigh-Schri)dinger perturbation theories based upon a hydrogenic. a screened hydrogenic, a Hartree and a modified Hartree local zero-order hamiltonian. The hydrogenic zero-order schemes are superior tc the Hartree zer