The Manning–Rosen potential studied by a new approximate scheme to the centrifugal term

Qin, Wen; Dong, Shi‐Hai

doi:10.1088/0031-8949/79/04/045004

Cited by 76 publications

(50 citation statements)

References 19 publications

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“…2 In terms of the wave functions for diatomic molecules, one can calculate the transition dipole matrix elements. [3][4][5] Some authors have investigated analytical solutions of the Schrödinger equation with typical diatomic molecule potential models, such as the Morse potential, 6 Deng−Fan potential, 7-10 Rosen−Morse potential, 11,12 Manning−Rosen potential, [13][14][15][16][17] Wei potential, 18 and Schiöberg potential. 19 In 1932, Rosen and Morse 20 proposed a potential energy function for polyatomic molecules: (1) U RM (r) ϭ B tanh (r/d) Ϫ C sech 2 (r/d)…”

Section: Introductionmentioning

confidence: 99%

Molecular energies of the improved Rosen−Morse potential energy model

2014

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We solve the Schrödinger equation with the improved Rosen−Morse empirical potential energy model. The rotationvibrational energy spectra and the unnormalized radial wave functions have been obtained. The interaction potential energy curves for the 3 3 ⌺ g + state of the Cs 2 molecule and the 5 1 ⌬ g state of the Na 2 molecule are modeled by employing the improved Rosen−Morse potential and the Morse potential. Favourable agreement for the improved Rosen−Morse potential is found in comparing with the Rydberg−Klein−Rees potential. The vibrational energy levels predicted by using the improved Rosen−Morse potential for the 3 3 ⌺ g + state of Cs 2 and the 5 1 ⌬ g state of Na 2 are in better agreement with the Rydberg−Klein−Rees data than the predictions of the Morse potential.

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Section: Introductionmentioning

confidence: 99%

Molecular energies of the improved Rosen−Morse potential energy model

2014

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“…Recently, the study of exponential-type potentials has attracted much attention from many authors (for example, cf, ). These physical potentials include the Woods-Saxon [7,8], Hulthén [9][10][11][12][13][14][15][16][17][18][19][20][21][22], modified hyperbolic-type [23], ManningRosen [24][25][26][27][28][29][30][31], the Eckart [32][33][34][35][36][37], the Pöschl-Teller [38] and the Rosen-Morse [39,40] potentials.…”

Section: Introductionmentioning

confidence: 99%

Bound States of the Klein-Gordon for Exponential-Type Potentials in D-Dimensions

Ikhdair¹

2011

JQIS

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The approximate analytic bound state solutions of the Klein-Gordon equation with equal scalar and vector exponential-type potentials including the centrifugal potential term are obtained for any arbitrary orbital quantum number l and dimensional space D. The relativistic/non-relativistic energy spectrum formula and the corresponding un-normalized radial wave functions, expressed in terms of the Jacobi polynomials

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“…In the SUSYQM formulation, the ground-state wave function 0, () s Fr  is given by [26][27][28][29] 0, ( ) exp( ( ) ), s F r W r dr    (19) in which the integrand is called the superpotential and the Hamiltonian is composed of the raising and lowering operators [26][27][28][29] …”

Section: The Spin Symmetry Limitmentioning

confidence: 99%