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Molecular Physics
An International Journal at the Interface Between Chemistry and Physics
Volume 104, 2006 - Issue 4
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Original Articles

Information-theoretic measures for Morse and Pöschl–Teller potentials

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Pages 613-622 | Received 04 Nov 2005, Accepted 28 Nov 2005, Published online: 20 Aug 2006

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M. S. Abdelmonem, Afaf Abdel-Hady & I. Nasser. (2017) Scaling behaviour of Fisher and Shannon entropies for the exponential-cosine screened coulomb potential. Molecular Physics 115:13, pages 1480-1492.
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Crossref
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Crossref
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Crossref
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Crossref
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Crossref
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Crossref
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Crossref
K. D. Sen & S. H. Patil. 2011. Statistical Complexity. Statistical Complexity 237 249 .
J. S. Dehesa, S. López-Rosa & D. Manzano. 2011. Statistical Complexity. Statistical Complexity 129 166 .
C. P. Panos, K. C. Chatzisavvas, C. C. Moustakidis, N. Nikolaidis, S. E. Massen & K. D. Sen. 2011. Statistical Complexity. Statistical Complexity 49 64 .
A Guerrero, P Sánchez-Moreno & J S Dehesa. (2010) Information-theoretic lengths of Jacobi polynomials. Journal of Physics A: Mathematical and Theoretical 43:30, pages 305203.
Crossref
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Crossref
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Crossref
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Crossref
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Crossref
F. Pennini & A. Plastino. (2007) Localization estimation and global vs. local information measures. Physics Letters A 365:4, pages 263-267.
Crossref
K.D. Sen, C.P. Panos, K.Ch. Chatzisavvas & Ch.C. Moustakidis. (2007) Net Fisher information measure versus ionization potential and dipole polarizability in atoms. Physics Letters A 364:3-4, pages 286-290.
Crossref
J S Dehesa, R González-Férez & P Sánchez-Moreno. (2007) The Fisher-information-based uncertainty relation, Cramer–Rao inequality and kinetic energy for the D -dimensional central problem . Journal of Physics A: Mathematical and Theoretical 40:8, pages 1845-1856.
Crossref
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Crossref
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Crossref
K. D. Sen & Jacob Katriel. (2006) Information entropies for eigendensities of homogeneous potentials. The Journal of Chemical Physics 125:7.
Crossref
R. Santana Carrillo, Qian Dong, Guo-Hua Sun, R. Ramon Silva Ortigoza & shihai Dong. (2021) Shannon Entropy of Asymmetric Rectangular Multiple Well with Unequal Width Barrier. SSRN Electronic Journal.
Crossref

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