Eigenvalue problems for one-dimensional discrete Schrödinger operators with symmetric boundary conditions

Jonq Juang; Wen Wei Lin; Shih Feng Shieh

doi:10.1137/S0895479800371530

Eigenvalue problems for one-dimensional discrete Schrödinger operators with symmetric boundary conditions

Jonq Juang^*, Wen Wei Lin, Shih Feng Shieh

^*Corresponding author for this work

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

4 Citations (Scopus)

Abstract

In this paper, we investigate the one-dimensional discrete Schrödinger equation with general, symmetric boundary conditions. Our results primarily concern the number of energy states lying in the wells.

Original language	English
Pages (from-to)	524-533
Number of pages	10
Journal	SIAM Journal on Matrix Analysis and Applications
Volume	23
Issue number	2
DOIs	https://doi.org/10.1137/S0895479800371530
Publication status	Published - 2002
Externally published	Yes

Keywords

Boundary conditions
Eigenvalue
Schrödinger operator

ASJC Scopus subject areas

Analysis

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10.1137/S0895479800371530

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@article{e330531a68d9478a9bba5f6d38870a0d,

title = "Eigenvalue problems for one-dimensional discrete Schr{\"o}dinger operators with symmetric boundary conditions",

abstract = "In this paper, we investigate the one-dimensional discrete Schr{\"o}dinger equation with general, symmetric boundary conditions. Our results primarily concern the number of energy states lying in the wells.",

keywords = "Boundary conditions, Eigenvalue, Schr{\"o}dinger operator",

author = "Jonq Juang and Lin, {Wen Wei} and Shieh, {Shih Feng}",

year = "2002",

doi = "10.1137/S0895479800371530",

language = "English",

volume = "23",

pages = "524--533",

journal = "SIAM Journal on Matrix Analysis and Applications",

issn = "0895-4798",

publisher = "Society for Industrial and Applied Mathematics Publications",

number = "2",

}

TY - JOUR

T1 - Eigenvalue problems for one-dimensional discrete Schrödinger operators with symmetric boundary conditions

AU - Juang, Jonq

AU - Lin, Wen Wei

AU - Shieh, Shih Feng

PY - 2002

Y1 - 2002

N2 - In this paper, we investigate the one-dimensional discrete Schrödinger equation with general, symmetric boundary conditions. Our results primarily concern the number of energy states lying in the wells.

AB - In this paper, we investigate the one-dimensional discrete Schrödinger equation with general, symmetric boundary conditions. Our results primarily concern the number of energy states lying in the wells.

KW - Boundary conditions

KW - Eigenvalue

KW - Schrödinger operator

UR - http://www.scopus.com/inward/record.url?scp=0036056706&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036056706&partnerID=8YFLogxK

U2 - 10.1137/S0895479800371530

DO - 10.1137/S0895479800371530

M3 - Article

AN - SCOPUS:0036056706

SN - 0895-4798

VL - 23

SP - 524

EP - 533

JO - SIAM Journal on Matrix Analysis and Applications

JF - SIAM Journal on Matrix Analysis and Applications

IS - 2

ER -

Eigenvalue problems for one-dimensional discrete Schrödinger operators with symmetric boundary conditions

Abstract

Keywords

ASJC Scopus subject areas

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