New York Journal of Mathematics
Volume 21 (2015) 1003-1005

  

Herbert Koch

Convexity and concavity of the ground state energy

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Published: October 14, 2015
Keywords: Ground state energy, convexity
Subject: 34B09

Abstract
This note proves convexity (resp. concavity) of the ground state energy of one dimensional Schrödinger operators as a function of an endpoint of the interval for convex (resp. concave) potentials.

Author information

Mathematisches Institut der Universität Bonn, Endenicher Allee 60, 53115 Bonn
koch@math.uni-bonn.de