Abstract
We calculate Shannon entropy for Modified Hulthen potential (MHP). Dependence of Shannon entropy on various parameters of the potential is investigated. For solving Schrodinger equation, i.e., for calculation of the wavefunctions, Numerov method has been employed which is fast and efficient. Numerical simulation is performed for the purpose. Novel data for Shannon entropy is presented for a wide range of the parameters of MHP.
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K.C. Chatzisavvas, C.C. Moustakidis, C.P. Panos, J. Chem. Phys. 123, 174111 (2005)
E. Romera, A. Nagy, Phys. Lett. A 372, 4918 (2008)
C.E. Shannon, Bell Syst. Tech. J. 27, 379 (1948)
S.R. Gadre, S.B. Sears, S.J. Chakravorty, R.D. Bendale, Phys. Rev. A 32, 2602 (1985)
L.R. Zan, L.G. Jiao, J. Ma, Y.K. Ho, Phys. Plasmas 24, 122101 (2017)
S. Saha, J. Jose, Phys. Rev. A 102, 052824 (2020)
Y.L. He, Y. Chen, J.N. Han, Z.B. Zhu, G.X. Xiang, H.D. Liu, B.H. Ma, D.C. He, Eur. Phys. J. D 69, 283 (2015)
L.D. Site, Int. J. Quant. Chem. 115, 1396 (2015)
A. Nagy, Int. J. Quant. Chem. 115, 392 (2015)
D.R. Alcoba, A. Torre, L. Lain, G.E. Massaccesi, O.B.O. Na, P.W. Ayers, M.V. Raemdonck, P. Bultinck, D.V. Neck, Theor. Chem Acc. 135, 153 (2016)
C. Amovilli, N.H. March, Phys Rev A 69, 054302 (2004)
F. Verstraete, J.I. Cirac, Phys Rev B 73, 094423 (2006)
L.L. Salcedo, J Math Phys 50, 012106 (2009)
R. Gonzlez-F´erez, J.S. Dehesa, S.H. Patil, K.D. Sen, Physica A 388, 4919 (2009)
R.J. Ya¨uez, A.R. Plastino, J.S. Dehesa, Eur. Phys. J. D 56, 141 (2010)
J.S. Dehesa, S. L´opez-Rosa, A. Martinez-Finkelshtein, R.J. Yez, Int. J. Quantum Chem. 110, 1529 (2010)
M.-A. Martínez-Sánchez, R. Vargas, J. Garza, Quantum Rep. 1, 208 (2019)
C. Amoville, N.H. March, Phys. Rev. A 69, 054302 (2004)
R.M. Yu, L.R. Zan, L.G. Jiao, Y.K. Ho, Few-Body Syst. 58, 152 (2017)
L.G. Jiao, L.R. Zan, Y.K. Ho, Y.Z. Zhang, Int. J. Quant. Chem. 117, e25375 (2017)
N. Mukherjee, A.K. Roy, Int. J. Quant. Chem. 118, e25596 (2018)
W.S. Nascimento, F.V. Prudente, Chem. Phys. Lett. 691, 401 (2018)
N. Mukherjee, A.K. Roy, Ann. Phys. 528, 412 (2016)
N. Mukherjee, A. Roy, A.K. Roy, Ann. Phys. (Berlin) 527, 825 (2015)
G. Sun, S. Dong, K.D. Launey, T. Dytrych, J.P. Draayer, Int. J. Quant. Chem. 115, 891 (2015)
L. Rudnicki, P. Sanchez-Moreno, J.S. Dehesa, J. Phys. A: Math. Theor. 45, 225303 (2012)
C.S. Lam, Y.P. Varshni, Phys. Rev. A 4, 1875 (1971)
A.A. Berezin, Phys. Status. Solidi (b) 50, 71 (1972)
A. Abdel-Hady, I. Nasser, Appl. Math. Inf. Sci. 12, 717 (2018)
S.H. Patil, K.D. Sen, Int. J. Quant. Chem. 107, 1864 (2007)
M.S. Abdelmonem, I. Nasser, H. Bahlouli, U. Al Khawaja, A.D. Alhaidari, Phys. Lett. A 373, 2408 (2009)
M.S. Abdelmonem, I. Nasser, Mol. Phys. 114, 3328 (2016)
I. Nasser, M.S. Abdelmonem, A. Abdel-Hady, Phys. Scr. 84, 045001 (2011)
Y.P. Varshni, Phys. Rev. A 41, 9 (1990)
H.I. Ahmadov, Sh.I. Jafarzade, M.V. Qocayeva, Int J. Mod. Phys. A 30, 1550193 (2016)
K. Kumar, V. Prassad, Res. Phys. 21, 103796 (2021)
A.A. Hady, I. Nasser, App. Math. Inf. Sci. 12(4), 717 (2018)
M.R. Setare, E. Karimi, Int. J. Theo. Phys. 46, 1381 (2007)
N. Salehi, M. Ghazvini, arXiv:1504.07359 (2015)
M.K. Bahar, A. Soylu, A. Poszwa, IEEE Trans. Plasma Sci. 44, 2297 (2016)
Y.Y. He, L.G. Jiao, A. Liu, Y.Z. Zhang, Y.K. Ho, Eur. Phys. J. D 75, 126 (2021)
K.D. Sen, J. Chem. Phys. 123, 074110 (2005)
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Rachna Joshi is thankful to AND College administration for motivation and encouragement.
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This manuscript has no associated data or the data will not be deposited. The data that support the findings of this study are available within the article.
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Dabas, S., Joshi, R. A numerical evaluation of Shannon entropy for modified Hulthen potential. Eur. Phys. J. D 76, 95 (2022). https://doi.org/10.1140/epjd/s10053-022-00421-7
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DOI: https://doi.org/10.1140/epjd/s10053-022-00421-7