Bound state solutions of <b>D</b>‐dimensional schrödinger equation with exponential‐type potentials

Peña, J. J.; García‐Martínez, Jesús; García-Ravelo, J.; Morales, J.

doi:10.1002/qua.24803

Cited by 21 publications

(18 citation statements)

References 33 publications

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“…Equation is consistent with the result obtained by Pena et al for bound state energy of multiparameter exponential‐type potentials in D ‐dimension.…”

Section: The Scattering States Of the Arbitrary Ld‐state Schrödingersupporting

confidence: 92%

“…These results are consistent with that reported by Feng et al when

D = 3

and the energy levels of Eq. is equivalent to that reported by Pena et al The normalized wave function for the Hulthen potential becomes,

U_{n J_{D}}^{normalH} (r) = N_{n J_{D}}^{normalH} {true(1 - q e^{- α r} true)}^{μ^{'}} {true(q true)}^{\frac{i k}{α}} e^{- i k r}_{2} F_{1} true(a, b, c, 1 - q e^{- α r} true)

…”

Section: Resultsmentioning

confidence: 67%

“…Having a potential, which can describe whole properties of system, is one of the most important needs in physics that is undeniable. To satisfy this need, there is an effort that is done recently by Pena et al In this work, a multiparameter exponential type potential (MPETP) via point canonical transformation method was proposed. As is mentioned in Refs.…”

Section: Introductionmentioning

confidence: 99%

“…As is mentioned in Refs. , the MPETP has the form of

V (r) = \frac{q A e^{- α r}}{1 - q e^{- α r}} + \frac{q B e^{- α r}}{{true(1 - q e^{- α r} true)}^{2}} + \frac{q^{2} C e^{- 2 α r}}{{true(1 - q e^{- α r} true)}^{2}},

with the deformation parameter

q

and other parameters A , B , and C , these leads MPETP into special cases. If we want to indicate these cases, we can show that with appropriate choices the MPETP can reduce to well‐known potentials, for example see Hulthen, Manning and Rosen, Eckart, and Deng and Fan potential we shouldn't forget that in the case of diatomic molecules Manning and Rosen and Deng and Fan potential have the same function but in general, they are different.…”

Section: Introductionmentioning

confidence: 99%

“…Many physical systems in quantum physics and chemistry have been studied in D ‐dimensional spaces . Of recent is the work by Pena et al where he solved the bound state solutions of Schrodinger equation in D ‐dimensions. The bound and scattering state of D ‐dimensional problems have been reported for the Hulthen and modified Poschl‐Teller potentials …”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Scattering state of the multiparameter potential with an improved approximation for the centrifugal term in D‐dimensions

Ikot

Ibanga

Hassanabadi

2015

Int J of Quantum Chemistry

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Recently, multi‐parameter potential has been introduced and had been discussed as special cases of other potential model, that is why we are interested to the study of such a potential. In order to study this potential, the D‐dimensional Schrödinger has been presented in detail and the scattering state with any arbitrary J‐state due to this potential has been investigated approximately. After this step, we have discussed analytically the scattering and bound state for some special cases in D‐dimensional situations which play important roles in physics. © 2015 Wiley Periodicals, Inc.

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“…Equation is consistent with the result obtained by Pena et al for bound state energy of multiparameter exponential‐type potentials in D ‐dimension.…”

Section: The Scattering States Of the Arbitrary Ld‐state Schrödingersupporting

confidence: 92%

“…These results are consistent with that reported by Feng et al when

D = 3

and the energy levels of Eq. is equivalent to that reported by Pena et al The normalized wave function for the Hulthen potential becomes,

U_{n J_{D}}^{normalH} (r) = N_{n J_{D}}^{normalH} {true(1 - q e^{- α r} true)}^{μ^{'}} {true(q true)}^{\frac{i k}{α}} e^{- i k r}_{2} F_{1} true(a, b, c, 1 - q e^{- α r} true)

…”

Section: Resultsmentioning

confidence: 67%

Section: Introductionmentioning

confidence: 99%

“…As is mentioned in Refs. , the MPETP has the form of

V (r) = \frac{q A e^{- α r}}{1 - q e^{- α r}} + \frac{q B e^{- α r}}{{true(1 - q e^{- α r} true)}^{2}} + \frac{q^{2} C e^{- 2 α r}}{{true(1 - q e^{- α r} true)}^{2}},

with the deformation parameter

q

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Scattering state of the multiparameter potential with an improved approximation for the centrifugal term in D‐dimensions

Ikot

Ibanga

Hassanabadi

2015

Int J of Quantum Chemistry

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The Improved Deformed Exponential‐type Potential Energy Model for N₂, NI, ScI, and RbH Diatomic Molecules

Okorie

Ikot

Chukwuocha

2020

Bulletin Korean Chem Soc

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The dissociation energy and the equilibrium bond length have been employed as explicit parameters to obtain an improved version of the deformed exponential‐type potential (IDEP). The potential parameters have been defined in terms of the molecular parameters. The IDEP has been used to model an inter‐nuclear interaction potential curves for different electronic states of dinitrogen, nitrogen monoiodide, scandium monoiodide, and rubidium hydride molecules. Also, we have obtained the average absolute deviations of the IDEP from the experimental Rydberg‐Klein‐Rees (RKR) data points of the dissociation energy for the selected diatomic molecules. This study has shown to be highly relevant to the study of thermodynamic and thermochemical functions of diatomic molecules since the IDEP is considered efficient for the description of potential energy interaction.

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A Green's function approach to the nonrelativistic radial wave equation of hydrogen atom

Rahman

2017

Int J of Quantum Chemistry

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We report an efficient and consistent method for the solution of Schrödinger wave equation using the Green's function technique and its successful application to the nonrelativistic radial wave equation of hydrogen atom. For the radial wave equation, the Green's function is worked out analytically by means of Laplace transform method and the wave function is proposed under the boundary conditions. Computationally the product of potential term, the proposed wave function and the Green's function are integrated iteratively to get the nonrelativistic radial wave function. The resultant wave after each iteration is normalized and plotted against the standard nonrelativistic radial wave function. The solution converges to the standard wave with the increasing number of iterations. Results are verified for the first 15 states of hydrogen atom. The method adopted here can be extended to many‐body problem and hope that it can enhance our knowledge about complex systems.

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Bound state solutions of D‐dimensional schrödinger equation with exponential‐type potentials

Cited by 21 publications

References 33 publications

Scattering state of the multiparameter potential with an improved approximation for the centrifugal term in D‐dimensions

Scattering state of the multiparameter potential with an improved approximation for the centrifugal term in D‐dimensions

The Improved Deformed Exponential‐type Potential Energy Model for N₂, NI, ScI, and RbH Diatomic Molecules

A Green's function approach to the nonrelativistic radial wave equation of hydrogen atom

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Bound state solutions of D‐dimensional schrödinger equation with exponential‐type potentials

Cited by 21 publications

References 33 publications

Scattering state of the multiparameter potential with an improved approximation for the centrifugal term in D‐dimensions

Scattering state of the multiparameter potential with an improved approximation for the centrifugal term in D‐dimensions

The Improved Deformed Exponential‐type Potential Energy Model for N2, NI, ScI, and RbH Diatomic Molecules

A Green's function approach to the nonrelativistic radial wave equation of hydrogen atom

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Product

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The Improved Deformed Exponential‐type Potential Energy Model for N₂, NI, ScI, and RbH Diatomic Molecules