Maria Hoffmann-Ostenhof

Maria Hoffmann-Ostenhof's AcademicInfluence.com Rankings

Mathematics

#5601

World Rank

#7869

Historical Rank

Measure Theory

#4293

World Rank

#5057

Historical Rank

mathematics Degrees

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Mathematics

Maria Hoffmann-Ostenhof's Degrees

PhD Mathematics University of Vienna

Why Is Maria Hoffmann-Ostenhof Influential?

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According to Wikipedia, Maria Hoffmann-Ostenhof is an Austrian mathematician known for her work on the behavior of the Schrödinger equation, and particularly on its asymptotic analysis, nodal lines, and behavior near its singularities.

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Maria Hoffmann-Ostenhof's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

"Schrödinger inequalities" and asymptotic behavior of the electron density of atoms and molecules (1977) (265)
A Geometrical Version of Hardy's Inequality (2002) (110)
Bounds on the decay of electron densities with screening (1981) (105)
Nodal Sets for Groundstates of Schrödinger Operators with Zero Magnetic Field in Non Simply Connected Domains (1998) (93)
Critical sets of solutions to elliptic equations (1999) (92)
Sharp Regularity Results for Coulombic Many-Electron Wave Functions (2003) (77)
The Electron Density is Smooth Away from the Nuclei (2001) (62)
Electron Wavefunctions and Densities for Atoms (2000) (60)
On the absence of positive eigenvalues for one-body Schrödinger operators (1982) (59)
Analyticity of the density of electronic wavefunctions (2002) (55)
Many‐particle Hardy inequalities (2006) (54)
Analytic Structure of Many-Body Coulombic Wave Functions (2008) (50)
A multiparticle Coulomb system with bound state at threshold (1983) (46)
Simple bounds to the atomic one-electron density at the nucleus and to expectation values of one-electron operators (1978) (46)
L2-exponential lower bounds to solutions of the Schrödinger equation (1982) (46)
"Schrödinger inequalities" and asymptotic behavior of many-electron densities (1978) (46)
Local properties of Coulombic wave functions (1994) (42)
Cusp conditions for eigenfunctions of n -electron systems (1981) (33)
Local properties of solutions of Schrödinger equations (1992) (31)
On the Multiplicity of Eigenvalues of the Laplacian on Surfaces (1999) (29)
L2-lower bounds to solutions of one-body Schrödinger equations (1983) (29)
Bounds to expectation values and exponentially decreasing upper bounds to the one-electron density of atoms (1978) (28)
Interior hölder estimates for solutions of schrödinger equations and the regularity of nodal sets (1994) (26)
Critical sets of smooth solutions to elliptic equations in dimension 3 (1996) (24)
Nodal sets for the groundstate of the Schrödinger operator with zero magnetic field in a non simply connected domain (2007) (23)
Non-Isotropic Cusp Conditions and Regularity of the Electron Density of Molecules at the Nuclei (2006) (22)
Nodal Sets, Multiplicity and Superconductivity in Non-simply Connected Domains (2000) (21)
Analytic structure of solutions to multiconfiguration equations (2008) (21)
The nodal line of the second eigenfunction of the Laplacian in $\mathbb{R}^2$ can be closed (1997) (19)
Bounds for the long‐range behavior of electronic wavefunctions (1978) (18)
Pointwise bounds on the asymptotics of spherically averaged $L^2$-solutions of one-body Schrödinger equations (1985) (15)
On the regularity of the density of electronic wavefunctions (2002) (12)
On the exponential fall off of wavefunctions and electron densities (1980) (11)
Exponentially decreasing upper bounds to the electron density of atoms (1976) (10)
On the asymptotic decay of L2-solutions of one-body Schrödinger equations in unbounded domains (1990) (9)
Positivity of the spherically averaged atomic one-electron density (2008) (9)
On the nodal structure of atomic eigenfunctions (1980) (7)
Continuity and nodal properties near infinity for solutions of $2$-dimensional Schrödinger equations (1986) (7)
Spectral theory for the dihedral group (2002) (7)
Third Derivative of the One-Electron Density at the Nucleus (2006) (7)
Asymptotics of the nodal lines of solutions of 2-dimensional Schrödinger equations (1988) (6)
Asymptotics of atomic ground states: The relation between the ground state of helium and the ground state of He+ (1981) (6)
Brownian motion and a consequence of Harnack’s inequality: nodes of quantum wave functions (1980) (6)
SHARP REGULARITY RESULTS FOR MANY-ELECTRONWAVE FUNCTIONSS (2004) (5)
On the asymptotics of nodes ofL2-solutions of Schrödinger equations in dimensions ≧ 3 (1988) (5)
Variational bounds to the overlap (1975) (5)
Regularity of the nodal sets of solutions to Schrödinger equations (1994) (5)
Lower bounds to the overlap (1976) (4)
A symptotics and continuity properties near infinity of solutions of Schrödinger equations in exterior domains (1987) (4)
Analyticity of the density of electronic wavefunctions (2004) (3)
On some properties of zero sets and critical sets of solutions to elliptic equations (1997) (3)
On embedded eigenvalues for the one‐dimensional Schrödinger equation (1984) (2)
Positivity and lower bounds to the decay of the atomic one-electron density (2006) (1)
On the regularity of the desity of electronic wavefunctions (2002) (1)
A P ] 1 2 A ug 2 00 6 Many Particle Hardy Inequalities (2008) (1)
On Nodes of Local Solutions to Schrodinger Equations (2017) (0)
CRITICAL SETS OF SOLUTIONS TO ELLIPTIC EQUATIONS yzx (0)
Bounds on the Order of Vanishing of Eigenfunctions of Schrodinger Operators (2009) (0)
Buchbesprechunge@@@Book reviews (1979) (0)
Geometric many particle Hardy inequalities (2005) (0)
An analytical approach to the study of coupled chemical equilibria (1980) (0)

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Maria Hoffmann-Ostenhof's Academic­Influence.com Rankings