Comparison theorems for the one-dimensional Schrödinger equation

Research output: Contribution to journalArticle

Abstract

Using rearrangements of matrix-valued sequences, we prove that with certain boundary conditions the solution of the one-dimensional Schrödinger equation increases or decreases under monotone rearrangements of its potential.

Original languageEnglish (US)
Pages (from-to)403-418
Number of pages16
JournalArkiv for Matematik
Volume43
Issue number2
DOIs
StatePublished - Oct 1 2005
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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