Schrodinger equation
Leech Lattice Extension of the Non Linear Schrodinger Equation Theory of Einstein Spaces
... nonlinear Schrodinger equation theory of Einstein ...nonlinear Schrodinger equation that we believe provides a framework for understanding the quantum nature of space-times with ...“Heavenly” ...
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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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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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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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Determine the Eigen Function of Schrodinger Equation with Non Central Potential by Using NU Method
... One of the important tasks of quantum mechanic is find- ing accurate answers of Schrodinger equation with a cer- tain potential. It is obvious that finding exact answers of SE by the usual and traditional ...
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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 by making use of the modified simple equation method [27]-[34] and discuss effect of the in- cluded parameters to the obtained ...fractional Schrodinger ...
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Solutions structure of integrable families of Riccati equations and their applications to the perturbed nonlinear fractional Schrodinger equation
... Next by using these solutions we obtain the exact travelling wave solutions for per- turbed nonlinear fractional Schrodinger equation. It is significant to looking for the exact traveling wave solutions for ...
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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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Quantum Wave Function Based on String Theory for Frictional Medium to Obtain Collision Probability, Energy Operator and Schrodinger Equation
... Abstract: Schrodinger equation suffer from being not sensitive to the mechanical properties as well as the electric and magnetic properties of ...the equation of ...circuits. Schrodinger ...
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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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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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Extended (G'/G) Method Applied to the Modified Non Linear Schrodinger Equation in the Case of Ocean Rogue Waves
... nonlinear Schrodinger equation modeling the propagation of rogue waves in deep water with extended G'/G-expansion ...non-linear Schrodinger equation in deep ...
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ANALYTICAL SOLUTION OF THE POSITION DEPENDENT MASS SCHRODINGER EQUATION WITH A HYPERBOLIC TANGENT POTENTIAL
... [15] R. Renan, M.H. Pacheco and A.C.S. Almeida, Treating some solid state problems with the Dirac equation, J. Phys. A, 33, No 50 (2000), L509. [16] R.W. Robinet, Quantum Mechanics, Oxford Univ. Press, Oxford ...
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Optical soliton generation in fiber optics : free & forced nonlinear schrodinger equation
... This study focuses on optical solitons in fiber optics. It can be modeled into two mathematical equations, which are nonlinear Schrödinger (NLS) equation and forced nonlinear Schrödinger (fNLS) equation. ...
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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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Meshless basis set for solving one-dimensional time independent Schrodinger Equation
... However, only a few of Schrödinger equations have simple solutions and can be solved exactly. These cases are classified as “exactly solvable” problems. A mixture of well-tested analytic and numerical methods is then ...
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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 the ...
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Dissipative non-linear schrodinger equation with variable coefficient in a stenosed elastic tube filled with a viscous fluid
... In the present work, considering the artery as an incompressible, prestressed, thin-walled elastic tube with a symmetrical stenosis and the blood as an averaged viscous fluid, we have studied the amplitude modulation of ...
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Numerical solution of time fractional nonlinear Schrodinger equation arising in quantum mechanics by cubic B-spline finite elements
... ¨odinger equation is one of the fundamental equations arising in physics for describing quantum mechanical behavior [16, ...wave equation and is a partial differential equation that describes how the ...
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Localised nonlinear optical modes and the corresponding support structures: exact solutions to the nonlinear Schrodinger equation with external potentials
... Microwave radiometry antennas in breast cancer early diagnosis Numerical Simulation of Heating Characteristics in a New Microwave Coaxial-Slot Antenna for Cancer Therapy Structure of cyl[r] ...
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