Asymptotic iteration method for the eigenfunctions and eigenvalue analysis in Schrodinger equation with modified anisotropic nonquadratic potential

Pratiwi, Beta Nur; Супармі, A.; Cari, C.; Anwar, Fuad

doi:10.1088/1742-6596/776/1/012090

Cited by 7 publications

(6 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Many of these energy potential functions have been adapted for suitability by Jia et al [1] and are commonly explored through appropriate approximation schemes. This exploration has piqued the interest of numerous authors and researchers, particularly in nonrelativistic quantum mechanics, where the ro-vibrational spectra of diverse quantum systems have been extensively studied [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Fisher Information for a System of a Combination of Similar Potential Models

Onate,

Okon,

Eyube

et al. 2024

Preprint

View full text Add to dashboard Cite

The solutions of the radial Schrödinger equation for a pseudoharmonic potential and Kratzer potentials has been studied separately in the past. The Kratzer potential despite different reports, the basic theoretic quantity such as Fisher information has not been reported. In this study, the solution of the radial Schrödinger equation for the combination of the pseudoharmonic and Kratzer potentials in the presence of a constant-dependent potential is obtained using the concepts and formalism of the supersymmetric and shape invariance approach. The position expectation value and momentum expectation value are calculated employing the Hellmann-Feynman Theory. The expectation values are used to calculate the Fisher information for both the position and momentum spaces in both the absence and presence of the constant-dependent potential. The obtained results revealed that the presence of the constant-dependent potential leads to an increase in the energy eigenvalue, as well as in the position and momentum expectation values. The presence of the constant-dependent potential also increases the Fisher information for both position and momentum spaces. Furthermore, the product of the position expectation value and the momentum expectation value along with the product of the Fisher information, satisfies both the Fisher’s inequality and the Cramer-Rao’s inequality.

show abstract

Section: Introductionmentioning

confidence: 99%

Fisher Information for a System of a Combination of Similar Potential Models

Onate,

Okon,

Eyube

et al. 2024

Preprint

View full text Add to dashboard Cite

show abstract

“…Many techniques have been exploited to solve the radial Schrodinger wave equation, namely asymptotic iteration approach [6], supersymmetry [7], Nikiforov-Uvarov method [8], exact/proper quantization techniques [9], [10], [11], shifted expansion approach [12], Laplace transform approach [13], formula method [14]. etc.…”

Section: Introductionmentioning

confidence: 99%

Energy Spectra of Some Dimers Confined by the Deformed-Type Coulomb Interaction Potential

2022

FJPAS

View full text Add to dashboard Cite

The eigensolutions of the Schrödinger equation containing a deformed-type Coulomb interaction via parametric NU approach. The eigenvalues and its eigenfunctions are presented. Using molecular constants data, the energy spectra for a set of dimers (I_2, H_2, N_2, O_2) for any n and l quantum numbers are computed using MATLAB R2020a. The results show a monotonic dependence of the energy spectra on both principal and angular momentum quantum numbers. The spectra generated is more sensitive to both n and l quantum numbers than the inverse length of an approximation scheme and the masses of the dimers selected.

show abstract

“…It is well known that there are various traditional techniques used to solve the relativistic and non-relativistic wave equations with the various quantum potential models [1, 2, 3, 4, 5, 6, 7, 8]. These techniques include asymptotic iteration method [9, 10, 11], supersymmetric approach [12, 13, 14, 15], factorization method [16, 17], Nikiforov-Uvarov method [18, 19, 20], exact/proper quantization rule [21], 1/N shifted expansion method [22]. Recently, Tezcan and Sever [23], developed parametric Nikiforov-Uvarov method from the conventional Nikiforv-Uvarov method.…”

Section: Introductionmentioning

confidence: 99%

Approximate eigensolutions of the attractive potential via parametric Nikiforov-Uvarov method

Onate

Adebimpe

Lukman

et al. 2018

Heliyon

View full text Add to dashboard Cite

The approximate analytical solutions of the non-relativistic Schrӧdinger equation for the Attractive potential model with the centrifugal term are investigated using the elegant methodology of the parametric Nikiforov-Uvarov. The energy equation and the corresponding un-normalized radial wave functions are obtained in a close and compact form after a proper Greene-Aldrich approximation scheme is applied. By changing the numerical values of some potential strengths, special cases of the Attractive potential are investigated in detail. The effects of the potential strengths and potential range respectively on the energy are also studied. The energy is found to be very sensitive to each of the potential parameters. Some theoretic quantities such as information energy, Rẻnyi entropy and Tsallis entropy.

show abstract

Asymptotic iteration method for the eigenfunctions and eigenvalue analysis in Schrodinger equation with modified anisotropic nonquadratic potential

Cited by 7 publications

References 22 publications

Fisher Information for a System of a Combination of Similar Potential Models

Fisher Information for a System of a Combination of Similar Potential Models

Energy Spectra of Some Dimers Confined by the Deformed-Type Coulomb Interaction Potential

Approximate eigensolutions of the attractive potential via parametric Nikiforov-Uvarov method

Contact Info

Product

Resources

About