Constraints on the total and kinetic energy of ground states in a class of potential models

DOI10.1063/1.528425zbMath0663.46077OpenAlexW2069032114MaRDI QIDQ3812797

A. K. Commen, André Martin

Publication date: 1989

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

Full work available at URL: http://cds.cern.ch/record/189242

zbMATH Keywords

ground state energypower law potentialsbounds in the kinetic energy

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Perturbation theories for operators and differential equations in quantum theory (81Q15) Miscellaneous applications of functional analysis (46N99)

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On the ordering of energy levels in homogeneous magnetic fields ⋮ Preservation of logarithmic concavity by the Mellin transform and applications to the Schrödinger equation for certain classes of potentials

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