Abstract
The equation in three dimensions is investigated. Uniqueness and other properties of the positive solution are proved for 3/2<p<2. There are two physical interpretations of this equation for p=5/3: (i) As the TFW equation for an infinite atom without electron repulsion; (ii) The positive solution, ψ, suitably scaled, is asymptotically equal to the solution of the TFW equation for an atom or molecule with electron repulsion in the regime where the nuclear charges are large and x is close to one of the nuclei.
| Original language | English (US) |
|---|---|
| Title of host publication | The Stability of Matter |
| Subtitle of host publication | From Atoms to Stars: Fourth Edition |
| Publisher | Springer Berlin Heidelberg |
| Pages | 371-381 |
| Number of pages | 11 |
| ISBN (Print) | 3540420835, 9783540222125 |
| DOIs | |
| State | Published - 2005 |
All Science Journal Classification (ASJC) codes
- General Physics and Astronomy