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Expectation Values and
Energy Spectra of the
Varshni Potential in
Arbitrary Dimensions
Etido P. Inyanga,,
Joseph E. Ntibib,
Effiong O. Obisungb,
Eddy S.
Williamb,
Etebong
E. Ibekwec
, Ita O. Akpanb
and
Ephraim P. Inyangb
a
Department of Physics,
National Open University
of Nigeria, Abuja,
Nigeria.
b
Theoretical Physics
Group, Department of
Physics, University of
Calabar,P.M.B. 1115
Calabar Nigeria, Nigeria.
c
Department
of Physics, Akwa Ibom
State University, Ikot
Akpaden, P.M.B. 1167,
Uyo, Nigeria.
Doi: https://doi.org/10.47011/15.5.7
Cited by :
Jordan J. Phys.,
15 (5) (2022)
495-509
PDF
Received on:
15/03/2021;
Accepted
on:
20/06/2021
Abstract:
The Klein-Gordon
equation with
Varshni
potential was
solved through
the
Nikiforov-Uvarov
method. The
Greene and
Aldrich
approximation
schemes were
employed to
overcome the
centrifugal
barrier. The
energy
eigenvalues were
obtained in
relativistic and
non-relativistic
regimes, as well
as the
corresponding
normalized wave
functions.
Energy spectra
and expectation
values of the
square of
inverse of
position kinetic
energy
 and
the square of
the momentum
 for
five selected
diatomic
molecules: H2,
HCl, TiH, I2
and CO, using
their separate
spectroscopic
parameters were
computed through
Hellmann-Feynman
Theorem.
Bound-state
energy
eigenvalues were
also computed
for Varshni
potential and
the numerical
results agree
with the already
existing
literature.
Keywords:
Expectation
values, Varshni
potential,
Nikiforov-Uvarov
method,
Klein-Gordon
equation.
References
[1]
Ntibi, J.E., Inyang,
E.P., Inyang, E.P.,
William, E.S. and
Ibekwe, E.E.,
Jordan. J. Phys., 15
(2022) 402.
[2] Inyang, E.P., Inyang,
E.P., Ntibi, J.E.,
Ibekwe, E.E. and
William, E.S., Ind. J.
Phys., 95 (2021) 2733.
[3] Inyang, E.P.,
William, E.S., Obu, J.O.,
Ita, B.I., Inyang, E.P.
and Akpan, I.O., Mol.
Phys., 119 (2021)
e1956615.
[4] Alhaidari,
A.D., J. Phys. A. Math.
Gen., 34 (2001) 982.
[5] Inyang, E.P.,
Inyang, E.P., Akpan, I.O.,
Ntibi, J.E.
and William, E.S.,
Can. J. Phys., 99 (2021)
990.
[6] Alhaidari,
A.D., J. Phys. Lett. B.,
309 (2011) 699.
[7] Inyang, E.P.,
Iwuji, P.C., Ntibi, J.E.,
William, E.S. and Ibanga,
E.A. East Eur. J. Phys.,
1 (2022) 11.
[8] Ibekwe, E.E.,
Emah, J.B., Inyang, E.P.
and Akpan, A.O., Iran J.
Sci. Technol. Trans. A
Sci., 46 (2022) 1741.
[9] Inyang, E.P.,
William, E.S., Omugbe,
E., Inyang, E.P., Ibanga,
E.A., Ayedun, F., Akpan,
I.O. and Ntibi, J.E.,
Rev. Mex. Fis., 68
(2022) 14.
[10] Inyang,
E.P., William, E.S.,
Ntibi, J.E., Obu, J.A.,
Iwuji, P.C. and Inyang,
E.P., Can. J. Phys., 100
(10) (2022) 463.
[11] Inyang,
E.P., Iwuji, P.C., Ntibi,
J.E., Omugbe, E., Ibanga,
E.A.
and William, E.S.,
East Eur. J. Phys., 2
(2022) 51.
[12] Ikot, A.N.,
Okorie, U.S., Amadi,
P.O., Edet, C.O., Rampho,
G.J. and Sever, R.,
Few-Body Syst., 62
(2021) 9.
[13] Inyang,
E.P., Inyang, E.P.,
William, E.S., Ntibi,
J.E. and Ibanga, E.A.,
Bulg. J. Phys., 20
(2022) 11.
[14] Ikhdair,
S.M. and Sever, R., J.
Mol. Struct.:
THEOCHEM, 103 (2007)
809.
[15] Gonul, B.,
Koksal, K. and Bakair,
E., Phys. E, 15 (2006)
279.
[16] Karakoc,
M. and Boztosun, I.,
Int. J. Mol. Phys. E, 15
(2006) 1253.
[17]
Edet, C.O., Mahmoud,
S., Inyang,
E.P., Ali,
N., Aljunid, S.A., Endut,
R., Ikot, A.N.
and Asjad,
M.,
Mathematics,. 10 (2022)
2824.
[18]
Omugbe, E., Osafile, O.E.,
Okon, I.B., Inyang, E.P.,
William, E.S. and
Jahanshir, A., Few-Body
Syst., 63 (2022) 7.
[19] Omugbe, E., Osafile,
O.E., Okon, I.B., Eyube,
E.S., Inyang, E.P.,
Okorie U.S., Jahanshir,
A. and Onate, C.A., Eur.
Phys. J. D., 76:72
(2022) 11.
[20]
Omugbe, E., Osafile, O.E.,
Inyang, E.P., and
Jahanshir, A., Physica
Scripta., 96 (2021)
125408.
[21]
William, E.S., Okon, I.B.,
Ekerenam, O.O., Akpan,
I.O., Ita, B.I., Inyang,
E.P., Etim, I.P. and
Umoh, I.F., Intl. J.
Quan. Chem., (2022)
e26925.
[22] Inyang,
E.P. Obisung, E.O.,
Iwuji, P.C., Ntibi, J.E.,
Amajama, J. and William,
E.S., J. Nig. Soc. Phys.
Sci., 4 (2022) 884.
[23]
Okoi, P.O., Edet, C.O.,
Magu, T.O. and Inyang,
E.P., Jordan J. Phys.,
15 (2022) 148.
[24] Inyang,
E.P. and Obisung, E.O.,
East Eur. J. Phys.,
3
(2022) 32.
[25] William, E.S.,
Inyang, E.P., Akpan, I.O.,
Obu, J.A., Nwachukwu,
A.N. and Inyang, E.P.,
Indian J. Phys., 96
(2022) 3461.
[26] Inyang,
E.P., Ayedun, F, Ibanga,
E.A. et al., Results in
Physics, 43 (2022)
106075.
[27] Inyang,
E.P., Ikot, A.N., Inyang,
E.P., Akpan, I.O., Ntibi,
J.E., Omugbe, E. and
William, E.S., Result in
Physics, 39 (2022)
105754.
[28] Inyang,
E.P.,
Obisung,
E.O.,
William,
E.S. and Okon, I.B.,
East Eur. J. Phys.,
3 (2022) 114.
[29] William,
E.S., Inyang, E.P.,
Ntibi, J.E., Obu, J.A.
and Inyang, E.P.,
Jordan J. Phys., 15
(2022) 193.
[30] Ayedun,
F., Inyang, E.P.,
Ibanga, E.A. and Lawal,
K.M., East Eur. J.
Phys., 4 (2022) 98.
[31] Abu-Shady,
M. and Inyang, E.P.,
East Eur. J. Phys., 4
(2022) 87.
[32] William, E.S.,
Inyang, E.P. and
Thompson, E.A., Rev. Mex.
Fisi., 66 (2020) 730.
[33] Inyang, E.P.,
William, E.S. and Obu,
J.A., Rev. Mex.
Fis., 67 (2) (2021) 193.
[34]
Inyang, E.P., Ita, B.I.
and Inyang, E.P.,
Eur. J. appl. Phys.,
3 (3) (2021) 47.
[35] Inyang, E.P., Ntibi,
J.E., Inyang, E.P.,
Ayedun, F., Ibanga, E.A.,
Ibekwe, E.E. and
William, E.S., Applied
Journal of Physical
Science, 3 (3) (2021)
108.
[36] Rampho,
G.J., Ikot, A.N., Edet,
C.O. and Okorie, U.S.,
Mol. Phys. J. D,
17 (2020).
[37] Akpan, I.O., Inyang,
E.P., Inyang, E.P. and
William, E.S., Rev. Mexi.
Fisi., 67 (3) (2021)
490.
[38] Inyang,
E.P., Inyang, E.P.,
William, E.S. and Ibekwe,
E.E., Jordan J.
Phys., 14 (4) (2021)
337.
[39] Ebomwonyi,
O., Onate, C.A. and
Odeyemi, O.E., J. Appl.
Sci. Envr. Manag., 23
(2019) 327.
[40] Ibekwe,
E.E., Okorie, U.S., Emah,
J.B., Inyang, E.P. and
Ekong, S.A., Eur. Phys.
J. Plus, 87
(2021) 136.
[41] Inyang,
E.P., Inyang, E.P.,
Ntibi, J.E. and William,
E.S., Bull. Pure Appl.
Sci., 40 (D) (2021) 24.
[42] Inyang,
E.P., Inyang, E.P.,
Akpan, I.O. and
William, E.S., Euro. J.
Physics, 2 (2020) 26.
[43]
Inyang, E.P., Inyang,
E.P., Kamiliyus, J.,
Ntibi, J.E. and William,
E.S., Eur. J. Physics, 3
(2) (2021) 55.
[44] Min-Cang,
Z., Chin. Phys. Lett.,
30 (2013) 1103.
[45] Arda, A. and Sever,
R., J. Math. Chem., 50
(2012) 1930.
[46] Edet,
C.O., Okoi, P.O., Yusuf,
P.O., Ushie, P.O. and
Amadi, P.O., Ind. J.
Phys., 10 (2019).
[47] Varshni,
Y.P., Rev. Mod. Phys.,
29 (1957) 682.
[48] Seto, J.Y. and Roy,
J.L., J. Chem. Phys.,
113 (2000) 3067.
[49] Flugge, S.,
“Practical Quantum
Mechanics”, Vol. 1,
(Springer, Berlin,
Germany, 1994).
[50] Dong, S.H., Lemus,
R. and Frank, A., Int.
J. Quan. Chem., 86
(2002) 439.
[51] Morse, P.M., Phys.
Rev., 34 (1929) 64.
[52] Oluwadare, O.J. and
Oyewumi, K.J., Eur.
Phys., 53 (2017) 6.
[53] Lim, T.C., J. Serb.
Chem. Soc., 74 (2009)
1423.
[54]
Greene, R.L. and
Aldrich, C., Phys. Rev.
A, 14 (1976)
2363.
[55]
Nikiforov, A.F. and
Uvarov, V.B.,
“Mathmatical Physics”,
(ed.) A. Jaffe,
(Germany: Birkhauser
Verlag Basel, 1988) 317.
[56]
Ntibi, J.E., Inyang,
E.P., Inyang, E.P. and
William, E.S., Intl J.
Inno. Sci. Engr. &
Tech., 7 (2020) 2379.
[57] Inyang, E.P.,
Ntibi, J.E,. Ibanga,
E.A., Ayedun, F.,
Inyang, E.P., Ibekwe,
E.E., William, E.S. and
Akpan, I.O., Commun. in
Phys. Sci., 7 (2021)
114.
[58] Greiner, W.,
“Relativistic Quantum
Mechanics”,
(Springer, Berlin,
2000).
[59]
Onate, C.A. and
Ojonubah, J.O., Int. J.
Mod. Phys. E, 24 (2015)
1550.
[60] Hamzavi, M.,
Movahedi, M., Thylwe,
K.E. and Rajabi, A.A.,
Chin. Phys. Lett., 29
(2012) 1938.
[61] Esteve, J.G.,
Falceto, F. and Garacia,
C., Phys. Lett., 6
(2010) 822.
[62] Ituen, B.O.,
Oyebola, P. and
Cecillia, N.I., Adv.
Ener. Phys., 45 (2017)
582.
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