Theoretic quantum information entropies for the generalized hyperbolic potential

Ikot, Akpan N.; Rampho, G. J.; Amadi, P. O.; Okorie, U. S.; Sithole, M.J.; Lekala, M. L.

doi:10.1002/qua.26410

Cited by 19 publications

(9 citation statements)

References 65 publications

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“…In wave mechanics, the solutions of the eigenfunctions of the Schrödinger equation under a potential energy barrier are essential because the entropic functionals are presented in terms of probability densities in the position and momentum spaces [16]. Several research have been carried out on Shannon entropy and Fisher information with physically motivated potential models, like the class of Yukawa potential [17], Screened Coulomb potential [9], generalized hyperbolic potential [18], screened Kratzer potential [19], Frost-Musulin potential [20], hyperbolic potential [21], and many others.…”

Section: Introductionmentioning

confidence: 99%

Thermomagnetic properties and the effects of Aharonov-Bohm (AB) flux and external magnetic field on Fisher entropy with Schioberg plus Manning-Rosen potential (SPMRP) using Nikiforov-Uvarov functional analysis (NUFA) and Supersymmetric quantum mechanics (SUSYQM) methods

Okon

Onate

Horchani

et al. 2023

Preprint

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The analytical bound state solutions, thermomagnetic properties, and the effect of Aharanov-Bohm (AB) flux and external magnetic field on Fisher information entropy with Schioberg plus Manning-Rosen potential are studied using NUFA and SUSYQM methods in the presence of the Greene-Aldrich approximation scheme to the centrifugal term. The wave function obtained was used to study Fisher information both in position and momentum spaces for different quantum states by the gamma function and digamma polynomials. The energy equation obtained in a closed form was used to deduce numerical energy spectra, partition function, and other thermomagnetic properties. The results show that with an application of AB and magnetic fields, the numerical energy eigenvalues for different magnetic quantum spins decrease as the quantum state increases and completely removes the degeneracy of the energy spectra. Also, the numerical computation of Fisher information satisfies Fisher information inequality products, indicating that the particles are more localized in the presence of external fields than in their absence, and the trend shows complete localization of quantum mechanical particles in all quantum states. Our potential reduces to Schioberg and Manning-Rosen potentials as special cases. Our potential reduces to Schioberg and Manning-Rosen potentials as special cases. The energy equations obtained from the NUFA and SUSYQM were the same, demonstrating a high level of mathematical precision

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Section: Introductionmentioning

confidence: 99%

Thermomagnetic properties and the effects of Aharonov-Bohm (AB) flux and external magnetic field on Fisher entropy with Schioberg plus Manning-Rosen potential (SPMRP) using Nikiforov-Uvarov functional analysis (NUFA) and Supersymmetric quantum mechanics (SUSYQM) methods

Okon

Onate

Horchani

et al. 2023

Preprint

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“…Quantum information entropy has been studied widely since Shannon proposed the classical concept in 1948 [ 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 ]. This is because the Shannon entropy as a measure of uncertainty is a generalization to the traditional Heisenberg relation.…”

Section: Introductionmentioning

confidence: 99%

Quantum Information Entropy of Hyperbolic Potentials in Fractional Schrödinger Equation

Santana-Carrillo

González-Flores

Magaña-Espinal

et al. 2022

Entropy

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In this work we have studied the Shannon information entropy for two hyperbolic single-well potentials in the fractional Schrödinger equation (the fractional derivative number (0<n≤2) by calculating position and momentum entropy. We find that the wave function will move towards the origin as the fractional derivative number n decreases and the position entropy density becomes more severely localized in more fractional system, i.e., for smaller values of n, but the momentum probability density becomes more delocalized. And then we study the Beckner Bialynicki-Birula–Mycieslki (BBM) inequality and notice that the Shannon entropies still satisfy this inequality for different depth u even though this inequality decreases (or increases) gradually as the depth u of the hyperbolic potential U1 (or U2) increases. Finally, we also carry out the Fisher entropy and observe that the Fisher entropy increases as the depth u of the potential wells increases, while the fractional derivative number n decreases.

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“…The Shannon entropy and complexity of triaxial nuclei was investigated very recently via the Bohr Hamiltonian [28]. More literature on quantum information can be found in the following works [29][30][31][32][33][34][35][36][37].…”

Section: Introductionmentioning

confidence: 99%

Quantum information of the modified Mobius squared plus Eckart potential

Njoku

Onyeocha

Onyenegecha

et al. 2022

Int J of Quantum Chemistry

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The quantum information measures and complexity of the modified Mobius squared plus Eckart (MMSE) potential are presented in this paper. First, the energy eigenvalues and wave function of the system are obtained from the approximate solutions of the Schrödinger equation via the parametric Nikiforov-Uvarov (pNU) method.Using the wave function, the Shannon entropy, Onicescu information energy and Fisher information of the system are examined for two low-lying states along with the modified Lopez-Ruiz-Mancini-Calbet (LMC) complexity and Heisenberg uncertainty relation. The results of the work point to the fact that the radial (momentum) probability density peak shifts to lower (higher) values with increase in the screening parameter. Furthermore, the Bialynicki-Birula and Mycielski (BBM) inequality, the lower bound of the modified LMC complexity, the Fisher information sum inequality and the Stam-Cramer-Rao inequality are verified for the system. Also, the Heisenberg uncertainty principle is verified for the MMSE potential and the existence of squeezed states is observed for both position and momentum states.

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Theoretic quantum information entropies for the generalized hyperbolic potential

Cited by 19 publications

References 65 publications

Thermomagnetic properties and the effects of Aharonov-Bohm (AB) flux and external magnetic field on Fisher entropy with Schioberg plus Manning-Rosen potential (SPMRP) using Nikiforov-Uvarov functional analysis (NUFA) and Supersymmetric quantum mechanics (SUSYQM) methods

Thermomagnetic properties and the effects of Aharonov-Bohm (AB) flux and external magnetic field on Fisher entropy with Schioberg plus Manning-Rosen potential (SPMRP) using Nikiforov-Uvarov functional analysis (NUFA) and Supersymmetric quantum mechanics (SUSYQM) methods

Quantum Information Entropy of Hyperbolic Potentials in Fractional Schrödinger Equation

Quantum information of the modified Mobius squared plus Eckart potential

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