Results 21 to 30 of about 229,357 (289)
Mapping of shape invariant potentials by the point canonical transformation [PDF]
, 2007 In this paper by using the method of point canonical transformation we find that the Coulomb and Kratzer potentials can be mapped to the Morse potential.
A. Khare +19 more
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Rotation Effect in Morse Potential For K2 Molecule
مجلة بغداد للعلوم, 2011 The rotation effect upon Morse potential had been studied and the values of the effective potential in potential curves had been calculated for electronic states (X2?+g , B ?u ) K2 molecule.
Baghdad Science Journal
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Mathematics, 2020 We study an energy-dependent potential related to the Rosen–Morse potential. We give in closed-form the expression of a system of eigenfunctions of the Schrödinger operator in terms of a class of functions associated to a family of hypergeometric para ...
Jorge A. Borrego-Morell +2 more
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The Parametric Generalized Fractional Nikiforov-Uvarov Method and Its Applications
East European Journal of Physics, 2023 By using generalized fractional derivative, the parametric generalized fractional Nikiforov-Uvarov (NU) method is introduced. The second-order parametric generalized differential equation is exactly solved in the fractional form. The obtained results are
M. Abu-Shady, H.M. Fath-Allah
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Dynamics of the Morse Oscillator: Analytical Expressions for Trajectories, Action-Angle Variables, and Chaotic Dynamics [PDF]
, 2019 We consider the one degree-of-freedom Hamiltonian system defined by the Morse potential energy function (the "Morse oscillator"). We use the geometry of the level sets to construct explicit expressions for the trajectories as a function of time, their ...
Krajňák, Vladimír, Wiggins, Stephen
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Explicit flock solutions for Quasi-Morse potentials [PDF]
European Journal of Applied Mathematics, 2014 We consider interacting particle systems and their mean-field limits, which are frequently used to model collective aggregation and are known to demonstrate a rich variety of pattern formations. The interaction is based on a pairwise potential combining short-range repulsion and long-range attraction.
CARRILLO, JA, HUANG, Y, MARTIN, S
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Morse potential, symmetric Morse potential and bracketed bound-state energies [PDF]
Modern Physics Letters A, 2016 For the needs of non-perturbative quantum theory, an upgraded concept of solvability is proposed. In a broader methodical context, the innovation involves Schrödinger equations which are piecewise analytic and piecewise solvable in terms of special (in our illustrative example, Whittaker) functions.
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Q-Deformed Morse and Oscillator Potential
Advances in High Energy Physics, 2017 We studied the q-deformed Morse and harmonic oscillator systems with appropriate canonical commutation algebra. The analytic solutions for eigenfunctions and energy eigenvalues are worked out using time-independent Schrödinger equation and it is also ...
H. Hassanabadi +3 more
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An algorithm for fractional Schrödinger equation in case of Morse potential
AIP Advances, 2020 Based on methods of numerical integration and Riemann–Liouville definition of the fractional derivatives, we find a numerical algorithm to find solutions of the time independent fractional Schrödinger equation for Morse potential or the quantum ...
Marwan Al-Raeei, Moustafa Sayem El-Daher
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Condensed Matter, 2023 In this study, we investigated, for the first time, the effects of the spatially varying effective mass, asymmetry parameter, and well width on the electronic and optical properties of a quantum well which has an improved Rosen–Morse potential ...
Esin Kasapoglu +2 more
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