#TITLE_ALTERNATIVE#
The one-dimensional Schrodinger equation is the fundamental equation of quantum mechanics. To obtain the solution of Schrodinger equation problem, it requires numerical calculations to be translated into computational calculation. This calculation can be simplified by an approximation methods. Pertu...
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| Format: | Final Project |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/14606 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | The one-dimensional Schrodinger equation is the fundamental equation of quantum mechanics. To obtain the solution of Schrodinger equation problem, it requires numerical calculations to be translated into computational calculation. This calculation can be simplified by an approximation methods. Perturbation <br />
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method is widely used as a the approximation procedure for calculation of the wave function of time independent Schrodinger equation. CPM (Constant Perturbation Methods) has been proposed by Ixaru based on piecewise constant approximation of the potential function. This algorithm high-order CPM is combined with shooting procedures and Prüfer representation in order to obtain <br />
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eigenvalues efficiently and accurately. As a simplification for the user, a set of GUI (Graphical User Interface) of MatLab using a user-friendly method so that easy to use, and prevent the user from the complexity of the problem has been developed. Piecewise perturbation methods provide a general overview of the <br />
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employed reference equations and than by some correction, the better value can be obtained. Prüfer representation greatly help us to construct the eigenvalues by employing the eigenvalues index of the selected intervals. By using higher order CP methods (CPM {P, N}) very accurate results even for large energy can be calculated. |
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