A comparison theorem for differential inequalities with applications in quantum mechanics

DOI10.1088/0305-4470/13/2/009zbMath0432.35080OpenAlexW2078669284MaRDI QIDQ3869726

Thomas Hoffmann-Ostenhof

Publication date: 1980

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/13/2/009

zbMATH Keywords

quantum mechanicsLaplaciandifferential inequalitiesapproximation argumentssymmetric operator in divergence form

Mathematics Subject Classification ID

Partial differential inequalities and systems of partial differential inequalities (35R45) Second-order elliptic equations (35J15) Theoretical approximation in context of PDEs (35A35) General mathematical topics and methods in quantum theory (81Q99)

Related Items (14)

Level comparison theorems ⋮ Which Nuclear Shape Generates the Strongest Attraction on a Relativistic Electron? An Open Problem in Relativistic Quantum Mechanics ⋮ Dirac cones for a mean-field model of graphene ⋮ Two-centre Dirac-Coulomb operators: Regularity and bonding properties ⋮ Monotonicity in confined system problems ⋮ Universality in the Thomas-Fermi-von Weizsäcker model of atoms and molecules ⋮ Schrödinger semigroups ⋮ Thomas-fermi and related theories of atoms and molecules ⋮ Unnamed Item ⋮ A comparative study of two-electron systems with screened Coulomb potentials ⋮ Thomas-fermi and related theories of atoms and molecules ⋮ Upper and lower bounds for eigenvalues of nonlinear elliptic equations: I. The lowest eigenvalue ⋮ The diatomic Hartree model at dissociation ⋮ Properties of the positive solution of a generalized Thomas-Fermi-von Weizsäcker equation

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