Third derivative of the one-electron density at the nucleus

Details Third derivative of the one-electron density at the nucleus Third derivative of the one-electron density at the nucleus

2006-07-04

arxiv.org/abs/math-ph/0607004v1

Physics

Mathematical Physics

28 pages

Scientific paper

We study electron densities of eigenfunctions of atomic Schroedinger operators. We prove the existence of rho~'''(0), the third derivative of the spherically averaged atomic density rho~ at the nucleus. For eigenfunctions with corresponding eigenvalue below the essential spectrum we obtain the bound rho~'''(0) \leq -(7/12)Z^3 rho~(0), where Z denotes the nuclear charge. This bound is optimal.

Affiliated with

Also associated with

No associations

Rating

Third derivative of the one-electron density at the nucleus does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Third derivative of the one-electron density at the nucleus, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Third derivative of the one-electron density at the nucleus will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-239604