Analyticity of the density of electronic wavefunctions
Copyright policy )Analyticity of the density of electronic wavefunctions
We prove that the electronic densities of atomic and molecular eigenfunctions are real analytic in ${\mathbb R}^3$ away from the nuclei.
19 pages
1040 Chemie, 35B65, Applications of operator theory in the physical sciences, FOS: Physical sciences, General topics in linear spectral theory for PDEs, Mathematical Physics (math-ph), 81Q05, Hamiltonian, Schrödinger operator, Schrödinger equation, 35Q40, 35B65; 35Q40; 81Q05, 1040 Chemistry, singular perturbations, Coulomb potential, Molecular physics, Mathematical Physics, PDEs in connection with quantum mechanics, Singular perturbations in context of PDEs, Selfadjoint operator theory in quantum theory, including spectral analysis
1040 Chemie, 35B65, Applications of operator theory in the physical sciences, FOS: Physical sciences, General topics in linear spectral theory for PDEs, Mathematical Physics (math-ph), 81Q05, Hamiltonian, Schrödinger operator, Schrödinger equation, 35Q40, 35B65; 35Q40; 81Q05, 1040 Chemistry, singular perturbations, Coulomb potential, Molecular physics, Mathematical Physics, PDEs in connection with quantum mechanics, Singular perturbations in context of PDEs, Selfadjoint operator theory in quantum theory, including spectral analysis
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