Results 11 to 20 of about 5,555 (156)
The asymptotic iteration method applied to certain quasinormal modes and non Hermitian systems
Open Physics, 2009 Özer Okan, Roy Pinaki
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ASYMPTOTIC ITERATION METHOD FOR SINGULAR POTENTIALS [PDF]
International Journal of Modern Physics A, 2008 The asymptotic iteration method (AIM) is applied to obtain highly accurate eigenvalues of the radial Schrödinger equation with the singular potential V(r) = r2+λ/rα(α,λ>0) in arbitrary dimensions. Certain fundamental conditions for the application of AIM, such as a suitable asymptotic form for the wave function, and the termination condition for ...
Champion, Brodie +2 more
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Frontiers in Astronomy and Space Sciences, 2021 We numerically calculate the quasinormal frequencies of the Klein-Gordon and Dirac fields propagating in a two-dimensional asymptotically anti-de Sitter black hole of the dilaton gravity theory.
M. I. Hernández-Velázquez +1 more
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Convergent and asymptotic iteration methods in General Relativity [PDF]
Communications in Mathematical Physics, 1979 We show that the fast motion iteration method in General Relativity gives an asymptotic approximation to exact solutions of the reduced Einstein equations. Rigorous estimates of the error commited at each step of the iteration are derived.
Christodoulou, D., Schmidt, B. G.
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The mathematical foundations of the asymptotic iteration method
Mathematical Methods in the Applied Sciences, 2023 We introduce a new approach to the asymptotic iteration method (AIM) by means of which we establish the standard AIM connection with the continued fractions technique, and we develop a novel termination condition in terms of the approximants. With the help of this alternative termination condition and certain properties of continuous fractions, we ...
Davide Batic, Marek Nowakowski
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Asymptotic iteration method for eigenvalue problems [PDF]
Journal of Physics A: Mathematical and General, 2003 An asymptotic interation method for solving second-order homogeneous linear differential equations of the form y'' = lambda(x) y' + s(x) y is introduced, where lambda(x) \neq 0 and s(x) are C-infinity functions. Applications to Schroedinger type problems, including some with highly singular potentials, are presented.
Ciftci, HAKAN, Saad, N, Hall, RL
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Scientific Reports, 2022 The second iteration of the optimal homotopy asymptotic technique (OHAM-2) has been protracted to fractional order partial differential equations in this work for the first time (FPDEs).
Laiq Zada +6 more
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Periodic Solutions for a Kind of Nonlinear Oscillations by a New Asymptotic Approach
Engineering Transactions, 2015 This paper proposes a new asymptotic approach to search for the periodic solutions of a kind of nonlinear oscillations. In this method the iteration technique is coupled with the traditional perturbation techniques, yielding a powerful mathematical tool ...
Ji-Huan He
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Study of a confined hydrogen‐like atom by the asymptotic iteration method [PDF]
International Journal of Quantum Chemistry, 2008 AbstractThe asymptotic iteration method (AIM) is used to obtain both special exact solutions and general approximate solutions for a Hydrogen‐like atom confined in a spherical box of arbitrary radius R. Critical box radii, at which states are no longer bound, are also calculated. The results are compared with those in the literature.
Hall, Richard L. +2 more
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Quantum Reports, 2022 In this study, the solutions of the Schrodinger equation (SE) with modified Hylleraas potential in arbitrary dimensions was obtained using the asymptotic iteration method (AIM) to obtain the energy and wave functions, respectively.
Collins Okon Edet +9 more
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