Arbitrary<i>l</i>state solutions of the Schrödinger equation with the Deng-Fan molecular potential

Dong, Shi Hai; Gu, Xiaoyan

doi:10.1088/1742-6596/96/1/012109

Cited by 77 publications

(83 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In order to overcome this problem, Hamzavi et al suggested a modification to the Deng-Fan potential, which they referred to as the shifted Deng-Fan potential (sDF) [17]. This modification is simply a Deng-Fan potential [19,20] shifted by dissociation energy D [17]. The researchers [17] examined the Schrödinger equation with this potential and applied their results to some diatomic molecules [17].…”

Section: Shifted Deng-fan Molecular Potentialmentioning

confidence: 99%

Spectroscopic study of some diatomic molecules via the proper quantization rule

Falaye

Ikhdair²,

Hamzavi

2015

J Math Chem

View full text Add to dashboard Cite

Spectroscopic techniques are very essential tools in studying electronic structures, spectroscopic constants and energetic properties of diatomic molecules. These techniques are also required for parametrization of new method based on theoretical analysis and computational calculations. In this research, we apply the proper quantization rule in spectroscopic study of some diatomic molecules by solving the Schrödinger equation with two solvable quantum molecular systems-Tietz-Wei and shifted DengFan potential models for their approximate nonrelativistic energy states via an appropriate approximation to the centrifugal term. We show that the energy levels can be determined from its ground state energy. The beauty and simplicity of the method applied in this study is that, it can be applied to any exactly as well as approximately solvable models. The validity and accuracy of the method is tested with previous techniques via numerical computation for H 2 and CO diatomic molecules. The result also include energy spectrum of 5 different electronic states of NO and 2 different electronic state of ICl.

show abstract

Section: Shifted Deng-fan Molecular Potentialmentioning

confidence: 99%

Spectroscopic study of some diatomic molecules via the proper quantization rule

Falaye

Ikhdair²,

Hamzavi

2015

J Math Chem

View full text Add to dashboard Cite

show abstract

“…Unfortunately, for arbitrary -state, the radial Schrödinger equation does not admit exact solutions. In this case, some authors have used the approximation scheme proposed by Lu [3] to study analytically arbitrary -wave bound states of the Schrödinger equation for the Deng-Fan potential [11]. This paper is organized as follows.…”

Section: Introductionmentioning

confidence: 99%

Arbitrary ℓ-state solutions of the Feynman propagator with the Deng-Fan molecular potential

Diaf

2015

J. Phys.: Conf. Ser.

View full text Add to dashboard Cite

Abstract. The bound state solutions of the Feynman propagator with the rotating DengFan molecular potential are presented approximately. An approximation of the centrifugal potential is used and nonlinear space-time transformations are applied. A relation between the original path integral and the Green function of a new quantum soluble system is derived. The energy spectrum and the normalized eigenfunctions are both obtained for the application of this technique to the Deng-Fan molecular potential. Our results are in very good agreement with those found by using numerical and other methods.

show abstract

“…Few of these methods include the Feynman integral formalism [5,16], asymptotic iteration method (AIM) [1][2][3][4][5][17][18][19][20][21], functional analysis approach [22][23][24], exact quantization rule method [25][26][27][28][29][30][31][32][33], proper quantization rule [27,34], Nikiforov-Uvarov (NU) method [35][36][37][38], supersymetric quantum mechanics [40,[40][41][42][43][44][45], etc.…”

Section: Introductionmentioning

confidence: 99%

“…Because of its importance in chemical physics, molecular spectroscopy, molecular physics and related areas, the bound state solutions of the relativistic and non-relativistic wave equations have been studied by several authors [7,29,46,47]. The shape of this potential with respect to some diatomic molecules is shown in figure1.…”

Section: Introductionmentioning

confidence: 99%

Energy States of Some Diatomaic Molecules: The Exact Quantisation Rule Approach

Falaye

Ikhdair

Hamzavi

2015

Zeitschrift Für Naturforschung A

View full text Add to dashboard Cite

In this study, we obtain the approximate analytical solutions of the radial Schrödinger equation for the Deng-Fan diatomic molecular potential by using exact quantization rule approach. The wave functions have been expressed by hypergeometric functions via the functional analysis approach.An extension to rotational-vibrational energy eigenvalues of some diatomic molecules are also presented. It is shown that the calculated energy levels are in good agreement with the ones obtained previously E nℓ − D (shifted Deng-Fan).

show abstract

Arbitrarylstate solutions of the Schrödinger equation with the Deng-Fan molecular potential

Cited by 77 publications

References 12 publications

Spectroscopic study of some diatomic molecules via the proper quantization rule

Spectroscopic study of some diatomic molecules via the proper quantization rule

Arbitrary ℓ-state solutions of the Feynman propagator with the Deng-Fan molecular potential

Energy States of Some Diatomaic Molecules: The Exact Quantisation Rule Approach

Contact Info

Product

Resources

About