Abstract
We prove that the electronic densities of atomic and molecular eigenfunctions are real analytic inR 3 away from the nuclei.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Fournais, S., Hoffmann-Ostenhof, M., Hoffmann-Ostenhof, T. andSørensen, T. Ø., The electron density is smooth away from the nuclei,Comm. Math. Phys. 228 (2002), 401–415.
Fournais, S., Hoffmann-Ostenhof, M., Hoffmann-Ostenhof, T. andSørensen, T. Ø., On the regularity of the density of electronic wavefunctions,Contemp. Math.,307 (2002), 143–148.
Hoffmann-Ostenhof, M., Hoffmann-Ostenhof, T. andSørensen, T. Ø., Electron wavefunctions and densities for atoms,Ann. Henri Poincaré 2 (2001), 77–100.
Hoffmann-Ostenhof, M., Hoffmann-Ostenhof, T. andStremnitzer, H., Local properties of Coulombic wave functions,Comm. Math. Phys. 163 (1994), 185–215.
Hörmander, L.,Linear Partial Differntial Operators, Springer-Verlag, Berlin-New York, 1976.
Kato, T., On the eigenfunctions of many-particle systems in quantum mechanics,Comm. Pure Appl. Math. 10 (1957), 151–177.
Kato, T.,Perturbation Theory for Linear Operators, Springer-Verlag, Berlin, 1980.
Landau, L. D. andLifschitz, E. M.,Quantum Mechanics. Part 1. Non-relativistic Theory, OGIZ, Moscow-Leningrad, 1948, (Russian). English transl.:Quantum Mechanics. Non-relativistic Theory. Course of Theoretical Physics, vol.3, Pergamon Press, London, 1958.
Reed, M. andSimon, B.,Methods of Modern Mathematical Physics I–IV, Academic Press, New York-London, 1972–78.
Simon, B., Schrödinger semigroups,Bull. Amer. Math. Soc. 7 (1982), 447–526.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Fournais, S., Hoffmann-Ostenhof, M., Hoffmann-Ostenhof, T. et al. Analyticity of the density of electronic wavefunctions. Ark. Mat. 42, 87–106 (2004). https://doi.org/10.1007/BF02385580
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02385580