Quantum information-entropic measures for exponential-type potential

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

doi:10.1016/j.rinp.2020.103150

Cited by 19 publications

(14 citation statements)

References 47 publications

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“…Recently, Ikot et al [36] reported the approximate solutions of the Schrödinger equation with the central generalized Hulthén and Yukawa potential within the framework of the functional method. The obtained wave function and the energy levels are used to study the Shannon entropy, the Renyi entropy, the Fisher information, the Shannon-Fisher complexity, the Shannon power, and the Fisher-Shannon product in both position and momentum spaces for the ground and first excited states.…”

Section: Introductionmentioning

confidence: 99%

Bound State Solution Schrödinger Equation for Extended Cornell Potential at Finite Temperature

Ahmadov

Abasova

Orucova

2021

Advances in High Energy Physics

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In this paper, we study the finite temperature-dependent Schrödinger equation by using the Nikiforov-Uvarov method. We consider the sum of the Cornell, inverse quadratic, and harmonic-type potentials as the potential part of the radial Schrödinger equation. Analytical expressions for the energy eigenvalues and the radial wave function are presented. Application of the results for the heavy quarkonia and B c meson masses are in good agreement with the current experimental data except for zero angular momentum quantum numbers. Numerical results for the temperature dependence indicates a different behaviour for different quantum numbers. Temperature-dependent results are in agreement with some QCD sum rule results from the ground states.

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Section: Introductionmentioning

confidence: 99%

Bound State Solution Schrödinger Equation for Extended Cornell Potential at Finite Temperature

Ahmadov

Abasova

Orucova

2021

Advances in High Energy Physics

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“…For the hydrogen atom, it was shown, in particular, that its ground-state position (momentum) entropy increases (decreases) with the dimensionality in such a way that the sum S (d) t exhibits practically linear dependence on d [3]. After this, many other properties and asymptotic limits have been discussed too [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Comparative analysis of information measures of the Dirichlet and Neumann two‐dimensional quantum dots

Olendski

2020

Int J of Quantum Chemistry

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d-dimensional hyperspherical quantum dot with either Dirichlet or Neumann boundary conditions (BCs) allows analytic solution of the Schrödinger equation in position space and the Fourier transform of the corresponding wave function leads to the analytic form of its momentum counterpart too. This paves the way to an efficient computation in either space of Shannon, Rényi and Tsallis entropies, Onicescu energies and Fisher informations; for example, for the latter measure, some particular orbitals exhibit simple expressions in either space at any BC type. A comparative study of the influence of the edge requirement on the quantum information measures proves that the lower threshold of the semi-infinite range of the dimensionless Rényi/Tsallis coefficient where one-parameter momentum entropies exist is equal to d/(d + 3) for the Dirichlet hyperball and d/(d + 1) for the Neumann one what means that at the unrestricted growth of the dimensionality both measures have their Shannon fellow as the lower verge. Simultaneously, this imposes the restriction on the upper value of the interval [1/2, α R ) inside which the Rényi uncertainty relation for the sum of the position R ρ (α) and wave vector R γ α 2α−1 components is defined: α R is equal to d/(d − 3) for the Dirichlet geometry and to d/(d − 1) for the Neumann BC. Some other properties are discussed from mathematical and physical points of view. Parallels are drawn to the corresponding properties of the hydrogen atom and similarities and differences are explained based on the analysis of the associated wave functions.

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“…[33][34][35], and Klein-Gordon oscillator [36]. Information theory is also used to describe models involving the Schrödinger equation for several potentials, such as Dirac-delta potential [37], hyperbolic potential [38], harmonic oscillator in D dimensions and hydrogen atom [39,40], Morse and Pöschl-Teller potentials [41,42], infinite potential well [43], double well [44], hydrogen atom confined and free [45], Eckart potential [46], screened Kratzer potential [47], generalized hyperbolic potential [48], Mobius square potential [49], exponentialtype potential [50], among others.…”

Section: Introductionmentioning

confidence: 99%

Information and thermodynamic properties of a non‐Hermitian particle ensemble

Lima

Moreira

Almeida

2021

Int J of Quantum Chemistry

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In the context of non‐relativistic quantum mechanics, we investigated Shannon's entropy of a non‐Hermitian system to understand how this quantity is modified with the cyclotron frequency. Subsequently, we turn our attention to the construction of an ensemble of these spinless particles in the presence of a uniform magnetic field. Then, we study the thermodynamic properties of the model. Finally, we show how Shannon's entropy and thermodynamic properties are modified with the action of the magnetic field.

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Quantum information-entropic measures for exponential-type potential

Cited by 19 publications

References 47 publications

Bound State Solution Schrödinger Equation for Extended Cornell Potential at Finite Temperature

Bound State Solution Schrödinger Equation for Extended Cornell Potential at Finite Temperature

Comparative analysis of information measures of the Dirichlet and Neumann two‐dimensional quantum dots

Information and thermodynamic properties of a non‐Hermitian particle ensemble

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