Abstract
The equation {Mathematical expression} 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) |
|---|---|
| Pages (from-to) | 15-25 |
| Number of pages | 11 |
| Journal | Communications In Mathematical Physics |
| Volume | 85 |
| Issue number | 1 |
| DOIs | |
| State | Published - Aug 1982 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics