Solution of Schrodinger Equation
On Analyzing Numerical solution of time-Independent Schrodinger equation
... of Schrodinger equation include Elzaki decomposition method [5], homotopy perturbation and Adomian decomposition methods [6, ...numerical solution for time-independent Schrodinger wave ...
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Numerical Solution of an Optimal Control Problem Governed by Two Dimensional Schrodinger Equation
... Schrodinger equation. Although the implicit scheme obtained from solution of the system of the linear equations is generally numerically stable and convergent without time-step condition, the ...
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Exact solution of the(2+1)-dimensional hyperbolic nonlinear Schrodinger equation by Adomian decomposition method
... In this paper the Adomian decomposition method will determine exact solution to (2+1)-dimensional hy- perbolic nonlinear Schr ¨odinger equation. In Section 2, we described this method for finding exact ...
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A new two-step Obrechkoff method with vanished phase-lag and some of its derivatives for the numerical solution of radial Schrodinger equation and related IVPs with oscillating solutions
... A new two–step implicit linear Obrechkoff twelfth algebraic order method with vanished phase–lag and its first, second, third and fourth derivatives is constructed in this paper. The purpose of this paper is to develop ...
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A New High Order Closed Newton-Cotes Trigonometrically-fitted Formulae for the Numerical Solution of the Schrodinger Equation
... Abstract. In this paper, we investigate the connection between closed Newton-Cotes formulae, trigonometrically-fitted methods, symplectic in- tegrators and efficient integration of the Schr¨ odinger equation. The ...
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Numerical solution of time fractional nonlinear Schrodinger equation arising in quantum mechanics by cubic B-spline finite elements
... ¨odinger equation which is frequently encountered in quantum mechanics by using cubic B-spline collocation ...analytical solution to ensure the accuracy and efficiency of the presented ...
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ANALYTICAL SOLUTION OF THE POSITION DEPENDENT MASS SCHRODINGER EQUATION WITH A HYPERBOLIC TANGENT POTENTIAL
... Abstract: An analytical solution of the position dependent mass Schr¨ odinger equation with a hyperbolic tangent potential is presented. The state energy and the corresponding wave function are obtained ...
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Blow Up and Attractor of Solution for Problems of Nonlinear Schrodinger Equations
... [5] J. S. Zhao, Q. D. Guo, H. O. Yang and R. Z. Xu, “Blow-Up of Solutions for Initial Value Boundary Prob- lem of a Class of Generalized Non-Linear Schrodinger Equation,” Journal of Nature of Science of ...
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Group Analysis and Variational Principle for Nonlinear (3+1) Schrodinger Equation
... In recent years, a number of works of the symmetry methods are found to be very efficient in applications to differential equations in Physics and Engineering. A subject of a special interest is a study of invariance ...
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Crank Nicolson implicit method for the nonlinear Schrodinger Equation with variable coefficient
... numerical solution of nonlinear Schrodinger equation with variable coefficient is ...wave solution of nonlinear Schrodinger equation with variable ...
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Application of the Frobenius Method to the Schrodinger Equation for a Spherically Symmetric Hyperbolic Potential
... In this paper, an efficient technique for computing the bound state energies and wave functions of the Schrödinger Equation (SE) associated with a new class of spherically symmetric hyperbolic potentials is ...
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Numerical study of the radial Schrodinger Equation for Hydrogen atom using Legendre wavelet
... solution h = 10 − 4 h = 10 − 4 expansion 0.1 -0.08282 -0.08282 -0.08283 -0.08291 -0.08289 0.5 -0.03896 -0.03896 -0.03897 -0.0391 -0.0354 0.9 -0.01831 -0.01831 -0.01832 -0.01841 -0.01686 1.3 -0.00861 -0.00861 ...
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On convergence of homotopy analysis method to solve the Schrodinger equation with a power law nonlinearity
... In this paper, the homotopy analysis method (HAM) is considered to obtain the solution of the Schrodinger equation with a power law nonlinearity. For this purpose, a theorem is proved to show the ...
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Optical soliton generation in fiber optics : free & forced nonlinear schrodinger equation
... NLS equation analytically. NLS equation will be solved analytically using the progressive wave solution method and the graphical outputs will be ...
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Lax pair and super-Yangian symmetry of the nonlinear super-Schrodinger equation
... The previous definition gives rise to many questions dealing with operator theory and func- tional analysis which were answered for the bosonic case in the very detailed review 1 by Gutkin. But for the sake of brevity, ...
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Symplectic Pseudospectral Time-Domain Scheme for Solving Time-Dependent Schrodinger Equation
... where A v = 0 and B v = 0 if v ≥ 2. It is easy to prove that L in Eq. (14) is an asymmetric operator. and therefore. the exact solution of Schr¨ odinger equation exp(Lt) is an orthogonal operator conserving ...
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Meshless basis set for solving one-dimensional time independent Schrodinger Equation
... The wave function Ψ(𝐫, 𝑡) of position and time is also known as state function which describes the physical condition or motion of a particle. When the external potential 𝑉 is independent of time then we can construct a ...
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Closed Form Exact Solutions to the Higher Dimensional Fractional Schrodinger Equation via the Modified Simple Equation Method
... a ≠ , and s ( ) ξ is an unidentified function to be estimated. In Jacobi ellip- tic function method, ( G G ′ ) -expansion method, F -expansion method, Riccati equation method, extended tanh-function method etc., ...
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Solutions to the nonlinear Schrodinger equation with Dirac mass initial data
... The scattering and inverse scattering theory we will discuss is a nonlinear version of the Fourier method for solving linear partial differential equations. We find scattering data via the direct spectral transform. This ...
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Blow-up for Semidiscretisations of a Semilinear Schrodinger Equation with Dirichlet Condition
... occurs at the middle of the solution for the mesh i=I/2. This graphics respect . 0, . 2 0, ∈ 0, / . But this condition doesn’t prevent the blow-up of the solution. Table 2. Numerical blow-up times, numbers ...
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