Quick Menu

Upcoming Journals
  • No Upcoming Journals

Asian Research Journal of Mathematics

Asian Research Journal of Mathematics, 2456-477X,Vol.: 2, Issue.: 1


Original Research Article


Generic Simplicity of a Schrödinger-type Operator on the Torus



Louis Omenyi1*, Emmanuel Nwaeze1 and McSylvester Omaba1

1Department of Mathematics, Computer Science, Statistics and Informatics, Federal University, Ndufu-Alike, Ikwo, Nigeria.




The generic simplicity of the spectrum of a Schrödinger-type operator on the n-dimensional torus is studied using the Rayleigh-Schrödinger perturbation theory. The existence of a perturbation potential of the Laplacian is proved and suitable conditions on the potential that guarantee the generic simplicity of the spectrum constructed. It is also proved that with the potential, the degeneracy of the spectrum of the Laplacian on the n-dimensional torus splits at first order of the perturbation.


Keywords :

Laplacian; Schrödinger operator; spectrum; simplicity; n-torus; Rayleigh-Schrödinger perturbation.


Full Article - PDF    Page 1-19    Article Metrics


DOI : 10.9734/ARJOM/2017/31160

Review History    Comments

Search this site

Advanced Search

Announcement & News

SCOPUS selected Annual Research & Review in Biology (ARRB)

We are delighted to inform that famous indexing organization SCOPUS (from Elsevier) selected  A...

Index Copernicus Evaluation Result Released

We are delighted to inform that Index Copernicus (a leading indexing organization from Pol...

Journal Repository (JR): Permanent Digital Archiving of SDI journals

SDI is happy to announce that all our journals are now permanently archived in Journal Repository (J...

Index Copernicus Value of British Journal of Medicine and Medical Research

  We are delighted to inform that Index Copernicus (a leading indexing organization ...

SDI journal got 35th ranking in Publons

We are delighted to announce (as of 04/01/2016) that British Journal of Medicine and Medical Re...

Growth of SDI and world publication market

As of 2014, total 25,064 journals are competing in World market of journal publication. In 2011, tot...

Publication and site statistics (up to Sept, 2015)

  Number of submission: 22181 (Total up to Sept, 2015) Number of published paper: 10949&n...

Index Medicus selected 15 SDI journals

We are delighted to inform that Index Medicus (IMSEAR) has selected following 15 SDI journals for in...

SCIENCEDOMAIN international received 5844 submissions in 2013

SCIENCEDOMAIN international is pleased to announce that it has received 5844 submissions in 2013, ac...

Science (IF: 31) report confirmed the high standard of SDI journal

As per a recent report (Link) of Science journal (present Impact factor 31), one of our journal (Bri...


  • No Awards listed.

Browser Compatibility : Mozila firefox, Google Crome and IE 7 & above. Creative Commons License Terms & Condition   |   Privacy Policy   |   Join Us   |   Help   |   Contact Us
© Copyright 2010-2017, SCIENCEDOMAIN international. All rights reserved.