Results 21 to 30 of about 19,263 (159)
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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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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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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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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Weyl asymptotics for perturbations of Morse potential and connections to the Riemann zeta function
Concrete Operators, 2023 Let N(T;V)N\left(T;\hspace{0.33em}V) denote the number of eigenvalues of the Schrödinger operator −y″+Vy-{y}^{^{\prime\prime} }+Vy with absolute value less than TT. This article studies the Weyl asymptotics of perturbations of the Schrödinger operator −y″
Rahm Rob
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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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Derivation of Morse Potential Function
, 2023 The Morse potential is widely used in chemistry to describe interatomic interactions. However, there is no explicit derivation for this empirical potential from physically meaningful atomic quan- tities. We show that the Morse potential can be derived from a simple atomic screened charge model, which accounts for the shielded nuclear charge by the ...
Amir Mirzanejad, Sergey Varganov
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Molecules, 2020 This study uses the finite element analysis (FEA)-based atomistic-continuum method (ACM) combined with the Morse potential of metals to determine the effects of the elastic modulus (E) of a given example on atomic-level single-crystal copper (Cu).
Chang-Chun Lee, Jing-Yan He
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Breather Stability in One Dimensional Lattices with a Symmetric Morse Potential
Trends in Computational and Applied Mathematics, 2008 Harmonic one dimensional lattice with an additional Morse potential on site has been used to describe DNA macromolecules properties. We analyze a modification of this lattice introducing a symmetric Morse potential.
H. Cortez, E. Drigo Filho, J.R. Ruggiero
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