THE ANALYTICAL SOLUTIONS OF THE SCHRODINGER EQUATION WITH GENERALIZED HULTHEN PLUS A NEW RING SHAPED LIKE POTENTIAL

Volume: 29 Number: 4 December 19, 2016
EN

THE ANALYTICAL SOLUTIONS OF THE SCHRODINGER EQUATION WITH GENERALIZED HULTHEN PLUS A NEW RING SHAPED LIKE POTENTIAL

Abstract

In this paper, we study the Schrödinger equation with the generalized Hulthen potential plus a new ring shaped potential. We obtained approximately the bound state energy spectra and the corresponding wave function using the functional analysis method. We use the well-known Hellmann-Feynmann theorem to calculate the expectation values for  ,,  and .We also discussed the special case of the potential which is consistent with the results found in the literature.

Keywords

References

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  2. L.D.Landau and E.M.Lifshitz, Quantum Mechnaics,Non-RelativisticTheory
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  4. S.H.Dong, Wave Equations in Higher Dimensions(Springer,Dordrecht,2011)
  5. C Berkdemir and R Sever,J.Math.Chem.46 1122 (2009)
  6. H Hartmann and D Schuch,Int.J.Quant.Chem.18 125 (1980)
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Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Eser Olgar This is me

H. Hassanabadi This is me

Publication Date

December 19, 2016

Submission Date

May 20, 2016

Acceptance Date

-

Published in Issue

Year 2016 Volume: 29 Number: 4

APA
Ikot, A. N., Olgar, E., & Hassanabadi, H. (2016). THE ANALYTICAL SOLUTIONS OF THE SCHRODINGER EQUATION WITH GENERALIZED HULTHEN PLUS A NEW RING SHAPED LIKE POTENTIAL. Gazi University Journal of Science, 29(4), 937-946. https://izlik.org/JA83EW87KW
AMA
1.Ikot AN, Olgar E, Hassanabadi H. THE ANALYTICAL SOLUTIONS OF THE SCHRODINGER EQUATION WITH GENERALIZED HULTHEN PLUS A NEW RING SHAPED LIKE POTENTIAL. Gazi University Journal of Science. 2016;29(4):937-946. https://izlik.org/JA83EW87KW
Chicago
Ikot, Akpan Ndem, Eser Olgar, and H. Hassanabadi. 2016. “THE ANALYTICAL SOLUTIONS OF THE SCHRODINGER EQUATION WITH GENERALIZED HULTHEN PLUS A NEW RING SHAPED LIKE POTENTIAL”. Gazi University Journal of Science 29 (4): 937-46. https://izlik.org/JA83EW87KW.
EndNote
Ikot AN, Olgar E, Hassanabadi H (December 1, 2016) THE ANALYTICAL SOLUTIONS OF THE SCHRODINGER EQUATION WITH GENERALIZED HULTHEN PLUS A NEW RING SHAPED LIKE POTENTIAL. Gazi University Journal of Science 29 4 937–946.
IEEE
[1]A. N. Ikot, E. Olgar, and H. Hassanabadi, “THE ANALYTICAL SOLUTIONS OF THE SCHRODINGER EQUATION WITH GENERALIZED HULTHEN PLUS A NEW RING SHAPED LIKE POTENTIAL”, Gazi University Journal of Science, vol. 29, no. 4, pp. 937–946, Dec. 2016, [Online]. Available: https://izlik.org/JA83EW87KW
ISNAD
Ikot, Akpan Ndem - Olgar, Eser - Hassanabadi, H. “THE ANALYTICAL SOLUTIONS OF THE SCHRODINGER EQUATION WITH GENERALIZED HULTHEN PLUS A NEW RING SHAPED LIKE POTENTIAL”. Gazi University Journal of Science 29/4 (December 1, 2016): 937-946. https://izlik.org/JA83EW87KW.
JAMA
1.Ikot AN, Olgar E, Hassanabadi H. THE ANALYTICAL SOLUTIONS OF THE SCHRODINGER EQUATION WITH GENERALIZED HULTHEN PLUS A NEW RING SHAPED LIKE POTENTIAL. Gazi University Journal of Science. 2016;29:937–946.
MLA
Ikot, Akpan Ndem, et al. “THE ANALYTICAL SOLUTIONS OF THE SCHRODINGER EQUATION WITH GENERALIZED HULTHEN PLUS A NEW RING SHAPED LIKE POTENTIAL”. Gazi University Journal of Science, vol. 29, no. 4, Dec. 2016, pp. 937-46, https://izlik.org/JA83EW87KW.
Vancouver
1.Akpan Ndem Ikot, Eser Olgar, H. Hassanabadi. THE ANALYTICAL SOLUTIONS OF THE SCHRODINGER EQUATION WITH GENERALIZED HULTHEN PLUS A NEW RING SHAPED LIKE POTENTIAL. Gazi University Journal of Science [Internet]. 2016 Dec. 1;29(4):937-46. Available from: https://izlik.org/JA83EW87KW