Arkiv för Matematik

  • Ark. Mat.
  • Volume 43, Number 2 (2005), 403-418.

Comparison theorems for the one-dimensional Schrödinger equation

Leonid V. Kovalev

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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.


Dedicated to the memory of Matts Essén

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Ark. Mat., Volume 43, Number 2 (2005), 403-418.

Received: 21 August 2003
First available in Project Euclid: 31 January 2017

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2005 © Institut Mittag-Leffler


Kovalev, Leonid V. Comparison theorems for the one-dimensional Schrödinger equation. Ark. Mat. 43 (2005), no. 2, 403--418. doi:10.1007/BF02384788.

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