' N Eq. (28), 0.11.87 should be replaced by +~ (0.1173). J ls In the third member of Eq. (32), 15/8 should be replaced by 15/32. On the top of page 8, 0.96 Nk/2S should be replaced by 0.96 (2NkS). In Eq. (97), a term —NzJS should be added to the right-hand sIde. In Eq. (120), 0.1187 should be replaced by 0.1173/(SI—S2) and 2JSIS2 should be replaced by 4JSIS2. Below Eq. (121), SIS2/S{SI—S2) should appear as twice this quantity, and (gIS&—g2S&)p should appear multiplied by a factor (q).

Comparative Study of Potential Energy Functions for Diatomic Molecules

We apply the asymptotic iteration method (AIM) (Ciftci, Hall and Saad 2003 J. Phys. A: Math. Gen. 36 11807) to solve new classes of second-order homogeneous linear differential equation. In particular, solutions are found for a general class of eigenvalue problems which includes Schrodinger problems with Coulomb, harmonic oscillator or Poschl–Teller potentials, as well as the special eigenproblems studied recently by Bender et al (2001 J. Phys. A: Math. Gen. 34 9835) and generalized in the present paper to arbitrary dimension.

https://iopscience.iop.org/article/10.1088/0305-4470/38/5/015/pdf

Construction of exact solutions to eigenvalue problems by the asymptotic iteration method

We obtain, in exact closed form, the wave-function normalization constants for the Schr\"odinger equation with potential $V={B}_{0}tanhz\ensuremath{-}{U}_{0}{cosh}^{\ensuremath{-}2}z$. These constants are derived in terms of a variety of formulations and solutions of the equation. We give discussions of both mathematical aspects and physical motivations of the problem. The main results are gathered in two appendixes. Wave-function normalization constants for the related P\"oschl-Teller potential are given in a third appendix.

Exact wave-function normalization constants for the B/sub 0/ tanhz-U/sub 0/ cosh/sup -/2z and Poeschl-Teller potentials

New supersymmetric (SUSY) partners of the modified Poschl-Teller and the Dirac's delta well potentials are constructed in closed form. The resulting one-parametric potentials are shown to be interrelated by a limiting process. The range of values of the parameters for which these potentials are free of singularities is exactly determined. The construction of higher-order SUSY partner potentials is also investigated.

http://iopscience.iop.org/article/10.1088/0305-4470/32/48/308/pdf

The supersymmetric modified Pöschl-Teller and delta well potentials

New supersymmetric partners of the modified Poschl-Teller and the Dirac's delta well potentials are constructed in closed form. The resulting one-parametric potentials are shown to be interrelated by a limiting process. The range of values of the parameters for which these potentials are free of singularities is exactly determined. The construction of higher order supersymmetric partner potentials is also investigated.

https://arxiv.org/pdf/quant-ph/9910017.pdf

The supersymmetric modified Poschl-Teller and delta-well potentials

Potentialansatze mit drei Konstanten erlauben die Wechselwirkung von Schwingung und Rotation zu berucksichtigen, d. h. die dritte Ableitung im Minimum den empirischen Werten anzupassen. Potentialkurven, die nach einem solchen Ansatz berechnet sind, schmiegen sich den wirklichen von Rydberg naherungsweise ermittelten besser an als der Morsesche Ansatz.

Zur Darstellung des Potentialverlaufs bei zweiatomigen Molekülen

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Zur Darstellung des Potentialverlaufs bei zweiatomigen Molekülen