Preservation of logarithmic concavity by the Mellin transform and applications to the Schrödinger equation for certain classes of potentials

DOI10.1007/BF02098444zbMath0728.35087OpenAlexW2022779734MaRDI QIDQ804830

A. K. Common, André Martin, Joachim Stubbe

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf02098444

zbMATH Keywords

Mellin transformground state wave functionlog-concave

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (1)

A new approximation method for the Schrödinger equation

Cites Work

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

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