Comparison theorems for the one-dimensional Schrödinger equation

Leonid V. Kovalev

doi:10.1007/BF02384788

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Home > Journals > Ark. Mat. > Volume 43 > Issue 2 > Article

October 2005 Comparison theorems for the one-dimensional Schrödinger equation

Leonid V. Kovalev

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Leonid V. Kovalev¹
¹Department of Mathematics, Washington University

Ark. Mat. 43(2): 403-418 (October 2005). DOI: 10.1007/BF02384788

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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.

Dedication

Dedicated to the memory of Matts Essén

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Leonid V. Kovalev. "Comparison theorems for the one-dimensional Schrödinger equation." Ark. Mat. 43 (2) 403 - 418, October 2005. https://doi.org/10.1007/BF02384788