Solutions of Schrodinger equation for the modified Mobius square plus Kratzer potential

Onyenegecha, Chibueze P.; Onate, C. A.; Echendu, O. K.; Ibe, A. A.; Hassanabadi, H.

doi:10.1140/epjp/s13360-020-00304-z

Cited by 25 publications

(14 citation statements)

References 27 publications

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“…In the earlier study of quantum mechanics, the Schrödinger equation was introduced as a second-order differential equation capable of describing the properties of a non-relativistic Quantum system [1][2]. Studies have revealed that exact solutions of the Schrödinger equation are available only for a limited set of physical and chemical quantum mechanical systems [3][4]. Hence, with an approximation to the centrifugal term, interest is geared towards arbitrary -solutions of the radial Schrödinger equation.…”

Section: Introductionmentioning

confidence: 99%

Arbitrary l-solutions of the Schrödinger equation interacting with Hulthén – Hellmann potential model

2020

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In this study, we obtained bound state solutions of the radial Schrödinger equation by the superposition of Hulthén plus Hellmann potential within the framework of Nikiforov-Uvarov (NU) method for an arbitrary - states. The corresponding normalized wave functions expressed in terms of Jacobi polynomial for a particle exposed to this potential field was also obtained. The numerical energy eigenvalues for different quantum state have been computed. Six special cases are also considered and their energy eigenvalues are obtained. Our results are found to be in good agreement with the results in literature. The behavior of energy in the ground and excited state for different quantum state are studied graphically.

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Section: Introductionmentioning

confidence: 99%

Arbitrary l-solutions of the Schrödinger equation interacting with Hulthén – Hellmann potential model

2020

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“…In quantum chemistry and molecular physics, Kratzer's potential is often considered to explain interactions in a molecular system. This potential is exactly solvable [12], and numerically solved by many methods, such as the asymptotic iteration method (AIM) [13][14][15][16][17][18][19][20][21][22]. This potential is widely used.…”

Section: Introductionmentioning

confidence: 99%

Etingof’s conjecture for quantized quiver varieties

Bezrukavnikov

Losev

2020

Invent. math.

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We propose the Whittaker function approach as a theoretical method for finding exact solutions of a quantum mechanical system placed in the Kratzer potential. We then show that the effect of an external uniform magnetic field on this system can be satisfactorily determined using variational method. By following the onestep treatment suggested in this study, we increase the reliability and the accuracy of the solutions of Schrödinger equation for a quantum mechanical system placed in potential energy and perturbed by a uniform magnetic field that proves to be useful in modelling physical phenomena. We find that the achieved numerical and analytical results agree very well with those already published and those calculated using the Numerov method.

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“…dz . Several researchers applied PQR to physical potential problem [25][26][27][28][29][30][31][32][33][34][35] both in relativistic and non-relativistic regime in the three and higher dimensions. Ma and Xu [12,13] by carefully studying the one dimensional Schrödinger equation generalized to the three dimensions radial Schrödinger equation with spherically symmetric potential simplify making the replacement z → r. The proper quantization rule written as…”

Section: Proper Quantization Rule and Formula Methodsmentioning

confidence: 99%

Energy and Momentum Eigenspectrum of the Hulthén-screened Cosine Kratzer Potential Using Proper Quantization Rule and SUSYQM Method

Purohit

PARMAR²,

Kumar

2021

Preprint

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Using the Qiang-Dong proper quantization rule (PQR) and the supersymmetric quantum mechanics approach, we obtained the eigenspectrum of the energy and momentum for time independent and time dependent Hulthen-screened cosine Kratzer potentials. For the suggested time independent Hulthen-screened cosine Kratzer potential, we solved the Schrodinger equation in D dimensions (HSCKP). The Feinberg-Horodecki equation for time-dependent Hulthen-screened cosine Kratzer potential was also solved (tHSCKP). To address the inverse square term in the time independent and time dependent equations, we employed the Greene-Aldrich approximation approach. We were able to extract time independent and time dependent potentials, as well as their accompanying energy and momentum spectra. In three-dimensional space, we estimated the rotational vibrational (RV) energy spectrum for many homodimers ($H_2, I_2, O_2$) and heterodimers ($MnH, ScN, LiH, HCl$). We also used the recently introduced formula approach to obtain the relevant eigen function. We also calculated momentum spectra for the dimers $MnH$ and $ScN$. The method is compared to prior methodologies for accuracy and validity using numerical data for heterodimer $LiH, HCl$ and homodimer $I_2, O_2,H_2$. The calculated energy and momentum spectra are tabulated and analysed.

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Solutions of Schrodinger equation for the modified Mobius square plus Kratzer potential

Cited by 25 publications

References 27 publications

Arbitrary l-solutions of the Schrödinger equation interacting with Hulthén – Hellmann potential model

Arbitrary l-solutions of the Schrödinger equation interacting with Hulthén – Hellmann potential model

Etingof’s conjecture for quantized quiver varieties

Energy and Momentum Eigenspectrum of the Hulthén-screened Cosine Kratzer Potential Using Proper Quantization Rule and SUSYQM Method

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