Comparison theorems for the one-dimensional Schrödinger equation

Leonid V. Kovalev

doi:10.1007/BF02384788

Comparison theorems for the one-dimensional Schrödinger equation

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	403-418
Number of pages	16
Journal	Arkiv for Matematik
Volume	43
Issue number	2
DOIs	https://doi.org/10.1007/BF02384788
State	Published - Oct 2005
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1007/BF02384788

Cite this

@article{ae954c5fd7e24dadb31dae39bbe5bce0,

title = "Comparison theorems for the one-dimensional Schr{\"o}dinger equation",

abstract = "Using rearrangements of matrix-valued sequences, we prove that with certain boundary conditions the solution of the one-dimensional Schr{\"o}dinger equation increases or decreases under monotone rearrangements of its potential.",

author = "Kovalev, {Leonid V.}",

year = "2005",

month = oct,

doi = "10.1007/BF02384788",

language = "English (US)",

volume = "43",

pages = "403--418",

journal = "Arkiv for Matematik",

issn = "0004-2080",

publisher = "Springer Netherlands",

number = "2",

}

TY - JOUR

T1 - Comparison theorems for the one-dimensional Schrödinger equation

AU - Kovalev, Leonid V.

PY - 2005/10

Y1 - 2005/10

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=27644500347&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=27644500347&partnerID=8YFLogxK

U2 - 10.1007/BF02384788

DO - 10.1007/BF02384788

M3 - Article

AN - SCOPUS:27644500347

SN - 0004-2080

VL - 43

SP - 403

EP - 418

JO - Arkiv for Matematik

JF - Arkiv for Matematik

IS - 2

ER -

Comparison theorems for the one-dimensional Schrödinger equation

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this