A Non Quasi Exact Solvable Eigenvalue Problem with PT-Invariant Non-Hermitian Complex Potential

Marwan Izzat El-Kawni; Abdulla Jameel Sous

doi:doi:10.11648/j.ajmp.20150401.14

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A Non Quasi Exact Solvable Eigenvalue Problem with PT-Invariant Non-Hermitian Complex Potential

Marwan Izzat El-Kawni, Abdulla Jameel Sous

Published in American Journal of Modern Physics (Volume 4, Issue 1)

Received: 27 September 2014 Accepted: 6 January 2015 Published: 27 January 2015

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Abstract

It is well known that the quasi-exact solvable eigenvalues of the Schrödinger equation with potential V(x)=-(ξcosh2x-iM)2 is real for PT-invariant non-Hermitian potential in case the parameter M is odd integer and complex conjugate pairs when M is even integer. In this work the Asymptotic Iteration Method (AIM) were used to solve this problem for M odd and even integer, and for any non-integer M values.

Published in	American Journal of Modern Physics (Volume 4, Issue 1)
DOI	10.11648/j.ajmp.20150401.14
Page(s)	19-21
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Asymptotic Iteration Method, Eigenvalues, Complex Potential, Non- Quasi Exact Solvable (QES)

References

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Marwan Izzat El-Kawni, Abdulla Jameel Sous. (2015). A Non Quasi Exact Solvable Eigenvalue Problem with PT-Invariant Non-Hermitian Complex Potential. American Journal of Modern Physics, 4(1), 19-21. https://doi.org/10.11648/j.ajmp.20150401.14

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ACS Style

Marwan Izzat El-Kawni; Abdulla Jameel Sous. A Non Quasi Exact Solvable Eigenvalue Problem with PT-Invariant Non-Hermitian Complex Potential. Am. J. Mod. Phys. 2015, 4(1), 19-21. doi: 10.11648/j.ajmp.20150401.14

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AMA Style

Marwan Izzat El-Kawni, Abdulla Jameel Sous. A Non Quasi Exact Solvable Eigenvalue Problem with PT-Invariant Non-Hermitian Complex Potential. Am J Mod Phys. 2015;4(1):19-21. doi: 10.11648/j.ajmp.20150401.14

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@article{10.11648/j.ajmp.20150401.14,
  author = {Marwan Izzat El-Kawni and Abdulla Jameel Sous},
  title = {A Non Quasi Exact Solvable Eigenvalue Problem with PT-Invariant Non-Hermitian Complex Potential},
  journal = {American Journal of Modern Physics},
  volume = {4},
  number = {1},
  pages = {19-21},
  doi = {10.11648/j.ajmp.20150401.14},
  url = {https://doi.org/10.11648/j.ajmp.20150401.14},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20150401.14},
  abstract = {It is well known that the quasi-exact solvable eigenvalues of the Schrödinger equation with potential V(x)=-(ξcosh2x-iM)2 is real for PT-invariant non-Hermitian potential in case the parameter M is odd integer and complex conjugate pairs when M is even integer. In this work the Asymptotic Iteration Method (AIM) were used to solve this problem for M odd and even integer, and for any non-integer M values.},
 year = {2015}
}

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TY  - JOUR
T1  - A Non Quasi Exact Solvable Eigenvalue Problem with PT-Invariant Non-Hermitian Complex Potential
AU  - Marwan Izzat El-Kawni
AU  - Abdulla Jameel Sous
Y1  - 2015/01/27
PY  - 2015
N1  - https://doi.org/10.11648/j.ajmp.20150401.14
DO  - 10.11648/j.ajmp.20150401.14
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 19
EP  - 21
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20150401.14
AB  - It is well known that the quasi-exact solvable eigenvalues of the Schrödinger equation with potential V(x)=-(ξcosh2x-iM)2 is real for PT-invariant non-Hermitian potential in case the parameter M is odd integer and complex conjugate pairs when M is even integer. In this work the Asymptotic Iteration Method (AIM) were used to solve this problem for M odd and even integer, and for any non-integer M values.
VL  - 4
IS  - 1
ER  -

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Author Information

Marwan Izzat El-Kawni

College of Science, Al-Quds Open University, Nablus, PO Box 893, Palestine
Abdulla Jameel Sous

College of Science, Al-Quds Open University, Nablus, PO Box 893, Palestine

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APA Style

Marwan Izzat El-Kawni, Abdulla Jameel Sous. (2015). A Non Quasi Exact Solvable Eigenvalue Problem with PT-Invariant Non-Hermitian Complex Potential. American Journal of Modern Physics, 4(1), 19-21. https://doi.org/10.11648/j.ajmp.20150401.14

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ACS Style

Marwan Izzat El-Kawni; Abdulla Jameel Sous. A Non Quasi Exact Solvable Eigenvalue Problem with PT-Invariant Non-Hermitian Complex Potential. Am. J. Mod. Phys. 2015, 4(1), 19-21. doi: 10.11648/j.ajmp.20150401.14

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AMA Style

Marwan Izzat El-Kawni, Abdulla Jameel Sous. A Non Quasi Exact Solvable Eigenvalue Problem with PT-Invariant Non-Hermitian Complex Potential. Am J Mod Phys. 2015;4(1):19-21. doi: 10.11648/j.ajmp.20150401.14

Copy | Download

@article{10.11648/j.ajmp.20150401.14,
  author = {Marwan Izzat El-Kawni and Abdulla Jameel Sous},
  title = {A Non Quasi Exact Solvable Eigenvalue Problem with PT-Invariant Non-Hermitian Complex Potential},
  journal = {American Journal of Modern Physics},
  volume = {4},
  number = {1},
  pages = {19-21},
  doi = {10.11648/j.ajmp.20150401.14},
  url = {https://doi.org/10.11648/j.ajmp.20150401.14},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20150401.14},
  abstract = {It is well known that the quasi-exact solvable eigenvalues of the Schrödinger equation with potential V(x)=-(ξcosh2x-iM)2 is real for PT-invariant non-Hermitian potential in case the parameter M is odd integer and complex conjugate pairs when M is even integer. In this work the Asymptotic Iteration Method (AIM) were used to solve this problem for M odd and even integer, and for any non-integer M values.},
 year = {2015}
}

Copy | Download

TY  - JOUR
T1  - A Non Quasi Exact Solvable Eigenvalue Problem with PT-Invariant Non-Hermitian Complex Potential
AU  - Marwan Izzat El-Kawni
AU  - Abdulla Jameel Sous
Y1  - 2015/01/27
PY  - 2015
N1  - https://doi.org/10.11648/j.ajmp.20150401.14
DO  - 10.11648/j.ajmp.20150401.14
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 19
EP  - 21
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20150401.14
AB  - It is well known that the quasi-exact solvable eigenvalues of the Schrödinger equation with potential V(x)=-(ξcosh2x-iM)2 is real for PT-invariant non-Hermitian potential in case the parameter M is odd integer and complex conjugate pairs when M is even integer. In this work the Asymptotic Iteration Method (AIM) were used to solve this problem for M odd and even integer, and for any non-integer M values.
VL  - 4
IS  - 1
ER  -

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