Eigenvalue problems of a two-dimensional Schrödinger operator with nonparabolic effective mass

Wen-Wei Lin; Shih Feng Shieh

doi:10.1063/1.1641151

Eigenvalue problems of a two-dimensional Schrödinger operator with nonparabolic effective mass

Wen-Wei Lin^*, Shih Feng Shieh

^*Corresponding author for this work

Department of Applied Mathematics

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

1 Scopus citations

Abstract

In this paper, we study the eigenvalue problem for the Schrödinger operator on a two dimensional disk with nonparabolic effective mass approximation. Here the effective mass depends on the energy states. Our results mainly concern with the number of energy states lying in a wire and the monotonicity of energy states with respect to the depth of the wire.

Original language	English
Pages (from-to)	576-584
Number of pages	9
Journal	Journal of Mathematical Physics
Volume	45
Issue number	2
DOIs	https://doi.org/10.1063/1.1641151
State	Published - 1 Feb 2004

Access to Document

10.1063/1.1641151

Fingerprint Dive into the research topics of 'Eigenvalue problems of a two-dimensional Schrödinger operator with nonparabolic effective mass'. Together they form a unique fingerprint.

Cite this

@article{8e19850659ee489b96affe36a70f9382,

title = "Eigenvalue problems of a two-dimensional Schr{\"o}dinger operator with nonparabolic effective mass",

abstract = "In this paper, we study the eigenvalue problem for the Schr{\"o}dinger operator on a two dimensional disk with nonparabolic effective mass approximation. Here the effective mass depends on the energy states. Our results mainly concern with the number of energy states lying in a wire and the monotonicity of energy states with respect to the depth of the wire.",

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

year = "2004",

month = feb,

day = "1",

doi = "10.1063/1.1641151",

language = "English",

volume = "45",

pages = "576--584",

journal = "Journal of Mathematical Physics",

issn = "0022-2488",

publisher = "American Institute of Physics",

number = "2",

}

TY - JOUR

T1 - Eigenvalue problems of a two-dimensional Schrödinger operator with nonparabolic effective mass

AU - Lin, Wen-Wei

AU - Shieh, Shih Feng

PY - 2004/2/1

Y1 - 2004/2/1

N2 - In this paper, we study the eigenvalue problem for the Schrödinger operator on a two dimensional disk with nonparabolic effective mass approximation. Here the effective mass depends on the energy states. Our results mainly concern with the number of energy states lying in a wire and the monotonicity of energy states with respect to the depth of the wire.

AB - In this paper, we study the eigenvalue problem for the Schrödinger operator on a two dimensional disk with nonparabolic effective mass approximation. Here the effective mass depends on the energy states. Our results mainly concern with the number of energy states lying in a wire and the monotonicity of energy states with respect to the depth of the wire.

UR - http://www.scopus.com/inward/record.url?scp=1142277265&partnerID=8YFLogxK

U2 - 10.1063/1.1641151

DO - 10.1063/1.1641151

M3 - Article

AN - SCOPUS:1142277265

VL - 45

SP - 576

EP - 584

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 2

ER -

Eigenvalue problems of a two-dimensional Schrödinger operator with nonparabolic effective mass

Abstract

Access to Document

Other files and links

Cite this