Results 31 to 40 of about 23,374 (295)
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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Bifurcations of transition states : morse bifurcations [PDF]
, 2014 A transition state for a Hamiltonian system is a closed, invariant, oriented, codimension-2 submanifold of an energy level that can be spanned by two compact codimension-1 surfaces of unidirectional flux whose union, called a dividing surface, locally ...
MacKay, Robert S., Strub, Dayal C.
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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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Morse potential derived from first principles [PDF]
, 2013 We show that a direct connection can be drawn, based on fundamental quantum principles, between the Morse potential, extensively used as an empirical description for the atomic interaction in diatomic molecules, and the harmonic potential.
Geová Alencar +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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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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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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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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Any [�states solutions of the Schr€ odinger equation interacting with Hellmann-generalized Morse potential model [PDF]
, 2017 The approximate analytical solutions of the radial Schrӧdinger equation have been obtained with a newly proposed potential called Hellmann-generalized Morse potential.
Onate, C.A +7 more
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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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