Schrodinger Equation(SE)
Extension of the Schrodinger equation
... the Schrodinger equation is submitted by removing its limitations appearing due to the limitations of the formalism of Hamilton, based on which this equa- tion was ...the Schrodinger equation ...
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On convergence of homotopy analysis method to solve the Schrodinger equation with a power law nonlinearity
... e Schrodinger equation is one of the im- many applications in physics and ...this equation in linear or nonlinear case such as finite difference method [16], variational iteration method [17], ...
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Crank Nicolson implicit method for the nonlinear Schrodinger Equation with variable coefficient
... Abstract. In the present work, the Crank-Nicolson implicit scheme for the numerical solution of nonlinear Schrodinger equation with variable coefficient is introduced. The Crank-Nicolson scheme is second ...
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Closed Form Exact Solutions to the Higher Dimensional Fractional Schrodinger Equation via the Modified Simple Equation Method
... time-fractional Schrodinger equation, an important equation in quan- tum ...fractional Schrodinger equation further precisely de- scribes the quantum state of a physical system changes ...
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Leech Lattice Extension of the Non Linear Schrodinger Equation Theory of Einstein Spaces
... non-linear Schrodinger equation living on a Lorentzian extension of the 24-dimensional Leech lattice may provide the needed framework for a quantum theory of gravity and elementary particles in 3 + 1 ...
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On Analyzing Numerical solution of time-Independent Schrodinger equation
... time-independent Schrodinger equation in which a potential well is taken (particle in a box) and the wave-function of the particle is calculated by solving Schrodinger equation[16], authors in ...
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Nonlinear Schrodinger equation for the twisted Laplacian in the critical case
... ¨ NONLINEAR SCHRODINGER EQUATION FOR THE TWISTED LAPLACIAN IN THE CRITICAL CASE Vijay Kumar Sohani Harish-Chandra Research Institute, Allahabad 211 019, India e-mail: vijaykumarsohani@gm[r] ...
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Numerical Solution of an Optimal Control Problem Governed by Two Dimensional Schrodinger Equation
... Schrödinger equation have been investigated by different ...the Schrodinger equation from the measured final data ...Schrödinger equation and given necessary and sufficient conditions for the ...
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Application of the Frobenius Method to the Schrodinger Equation for a Spherically Symmetric Hyperbolic Potential
... The rest of this paper is organized as follows. In Section 2, we apply the ap- proximation (1) to the exact SE, and then convert the resulting equation into a dimensionless eigenvalue problem that can be solved by ...
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Group Analysis and Variational Principle for Nonlinear (3+1) Schrodinger Equation
... in equation (21), we get a polynomial in etc Collecting it in descending order of various powers of a n d equating to zero the different powers of w e obtain a system of first order ...
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Propagation of solitons of the Derivative Nonlinear Schrodinger equation in a plasma with fluctuating density
... Equation ~47! has been derived under a few simplifying assumptions. The most important one is that the density is a homogeneous random process. We considered a boundary problem in a region x . 0 with all ...
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Lax pair and super-Yangian symmetry of the nonlinear super-Schrodinger equation
... introduce the associated well-bred vertex operator T( ) and use the explicit expression of our R-matrix to derive the first two terms of the expansion of T( ) in power series of ⫺ 1 . Then we show that this ...
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Meshless basis set for solving one-dimensional time independent Schrodinger Equation
... coupling with the Fast Fourier Transform (FFT) technique to reduce the computational time. In this study, we implement the Meshless Element Free Galerkin (MEFG) method to solve the same problem. The localized basis sets ...
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Symplectic Pseudospectral Time-Domain Scheme for Solving Time-Dependent Schrodinger Equation
... The normalized condition of the wave function should be conserved under a long-term simulation, which determines energy-conserving property of Schr¨ odinger equation. In order to testify the property, we proceed ...
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Optical soliton generation in fiber optics : free & forced nonlinear schrodinger equation
... NLS equation by using Pseudo-Spectral method so that the results can be compared with the analytical solution to find the percentage error of this numerical ...
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Fractional Fourier Transform to the Time-Independent Schrodinger Equation for the Quantum Harmonic Oscillator
... In our previous work we have proved convolution theorem, inversion formula [7, 8]. In this paper we have established some new operators of fractional Fourier transform. Lastly we have solve the time- independent ...
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Numerical study of the radial Schrodinger Equation for Hydrogen atom using Legendre wavelet
... Abstract. This paper deals with the Legendre wavelet (LW) col- location method for the numerical solution of radial Schr¨ odinger equation for hydrogen atom. Energy eigenvalues for the hydrogen bound system is ...
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Solutions to the nonlinear Schrodinger equation with Dirac mass initial data
... Another reason we studied these problems is to figure out how the NLS equation regularizes singular data. In order to study this we had to regularize the reflection coefficient and develop the machinery to handle ...
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The smoothed particle hydrodynamics method for solving generalized variable coefficient Schrodinger equation and Schrodinger-Boussinesq system
... In this paper, we solved the generalized variable coefficient Schr¨ odinger equation and Schr¨ odinger-Boussinesq system using the smooth particle hydrodynamic (SPH) procedure. The SPH method is one of the ...
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Blow-up for Semidiscretisations of a Semilinear Schrodinger Equation with Dirichlet Condition
... Schrhödinger equation models a lot of physical phenomenon such as nonlinear optics, energy transfer in molecular systems, quantum mechanics, seismology, plasma ...
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