Asymptotic iteration method applied to bound-state problems with unbroken and broken supersymmetry

O. Özer, G. Lévai

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

The bound-state spectra for some potentials with unbroken and broken super-symmetry are investigated by the quantization condition of a method, called Asymptotic Iteration Method (AIM). Energy eigenvalues of the supersymmetric partner potentials are obtained. The present results are found to be in excellent agreement with numerical values. It is also noted that the AIM condition preserves the supersymmetric energy degeneracy, and generally fewer iteration steps are necessary to obtain the energy eigenvalues of the V+(x) "fermionic" potential with the same accuracy.

Original languageEnglish
Pages (from-to)582-593
Number of pages12
JournalRomanian Reports of Physics
Volume57
Issue number3-4
Publication statusPublished - 2012

Fingerprint

supersymmetry
iteration
eigenvalues
asymptotic methods
energy
symmetry

Keywords

  • Asymptotic iteration method
  • Partner potentials
  • Supersymmetric quantum mechanics

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Asymptotic iteration method applied to bound-state problems with unbroken and broken supersymmetry. / Özer, O.; Lévai, G.

In: Romanian Reports of Physics, Vol. 57, No. 3-4, 2012, p. 582-593.

Research output: Contribution to journalArticle

@article{0545aab860e04040add40a2890ca496f,
title = "Asymptotic iteration method applied to bound-state problems with unbroken and broken supersymmetry",
abstract = "The bound-state spectra for some potentials with unbroken and broken super-symmetry are investigated by the quantization condition of a method, called Asymptotic Iteration Method (AIM). Energy eigenvalues of the supersymmetric partner potentials are obtained. The present results are found to be in excellent agreement with numerical values. It is also noted that the AIM condition preserves the supersymmetric energy degeneracy, and generally fewer iteration steps are necessary to obtain the energy eigenvalues of the V+(x) {"}fermionic{"} potential with the same accuracy.",
keywords = "Asymptotic iteration method, Partner potentials, Supersymmetric quantum mechanics",
author = "O. {\"O}zer and G. L{\'e}vai",
year = "2012",
language = "English",
volume = "57",
pages = "582--593",
journal = "Romanian Journal of Physics",
issn = "1221-146X",
publisher = "Editions de l'Academie Republique Populaire",
number = "3-4",

}

TY - JOUR

T1 - Asymptotic iteration method applied to bound-state problems with unbroken and broken supersymmetry

AU - Özer, O.

AU - Lévai, G.

PY - 2012

Y1 - 2012

N2 - The bound-state spectra for some potentials with unbroken and broken super-symmetry are investigated by the quantization condition of a method, called Asymptotic Iteration Method (AIM). Energy eigenvalues of the supersymmetric partner potentials are obtained. The present results are found to be in excellent agreement with numerical values. It is also noted that the AIM condition preserves the supersymmetric energy degeneracy, and generally fewer iteration steps are necessary to obtain the energy eigenvalues of the V+(x) "fermionic" potential with the same accuracy.

AB - The bound-state spectra for some potentials with unbroken and broken super-symmetry are investigated by the quantization condition of a method, called Asymptotic Iteration Method (AIM). Energy eigenvalues of the supersymmetric partner potentials are obtained. The present results are found to be in excellent agreement with numerical values. It is also noted that the AIM condition preserves the supersymmetric energy degeneracy, and generally fewer iteration steps are necessary to obtain the energy eigenvalues of the V+(x) "fermionic" potential with the same accuracy.

KW - Asymptotic iteration method

KW - Partner potentials

KW - Supersymmetric quantum mechanics

UR - http://www.scopus.com/inward/record.url?scp=84860627581&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84860627581&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84860627581

VL - 57

SP - 582

EP - 593

JO - Romanian Journal of Physics

JF - Romanian Journal of Physics

SN - 1221-146X

IS - 3-4

ER -