Electron Wavefunctions and Densities for Atoms
Copyright policy )Electron Wavefunctions and Densities for Atoms
With a special `Ansatz' we analyse the regularity properties of atomic electron wavefunctions and electron densities. In particular we prove an a priori estimate, $\sup_{y\in B(x,R)}|\nablaψ(y)| \leq C(R) \sup_{y\in B(x,2R)}|ψ(y)|$ and obtain for the spherically averaged electron density, $\widetildeρ(r)$, that $\widetildeρ''(0)$ exists and is non-negative.
- Aalborg University Denmark
- University of Vienna Austria
- Aalborg University Library (AUB) Denmark
- International Institute of Minnesota United States
a priori estimate, FOS: Physical sciences, Mathematical Physics (math-ph), A priori estimates in context of PDEs, Atomic physics, Mathematics - Analysis of PDEs, 81V10, 35B05, 35J10, 81Q05, FOS: Mathematics, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, Mathematical Physics, PDEs in connection with quantum mechanics, Analysis of PDEs (math.AP)
a priori estimate, FOS: Physical sciences, Mathematical Physics (math-ph), A priori estimates in context of PDEs, Atomic physics, Mathematics - Analysis of PDEs, 81V10, 35B05, 35J10, 81Q05, FOS: Mathematics, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, Mathematical Physics, PDEs in connection with quantum mechanics, Analysis of PDEs (math.AP)
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