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Solving Schrodinger wave equation using absorbing boundary conditions. In a computer when we dont use the periodic boundary condition, we need to avoid the reflection from the boundary, which is only possible if we use absorbing boundary conditions. The project deals with its numerical implimentation.

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devashishtiwa/Absorbing_Boundar_Conditions_TDSE

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Absorbing_Boundar_Conditions_TDSE

In this Project work, we are using absorbing boundary conditions, with the Crank-Nicolson scheme Ref. To solve the time-dependent Schrodinger equation numerically with Python, for a Gaussian wave packet using three different methods, namely, Linear Approximation Method Ref, Rational function Approximation, New Absorbing Boundary Conditions Ref. Then there results, were plotted, and accuracy was determined. We also simulated the Scattering for single and double potential barriers with and without Absorbing boundary conditions. We independently generalized the Crank Nikolson method for Linear and Rational function approximation and have verified that numerically.

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Solving Schrodinger wave equation using absorbing boundary conditions. In a computer when we dont use the periodic boundary condition, we need to avoid the reflection from the boundary, which is only possible if we use absorbing boundary conditions. The project deals with its numerical implimentation.

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