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About Numerov Method
This document discusses solving the Schrödinger equation numerically using Numerov's algorithm. It begins by introducing the time-independent Schrödinger equation and noting that only a few cases can be solved analytically. It then uses the quantum harmonic oscillator as a simple example that can be solved both analytically and numerically. The Numerov algorithm is introduced for solving differential equations like the Schrödinger equation. The equation is manipulated into a form suitable for the Numerov algorithm. The algorithm is then used to find the eigenvalues by scanning for where the wavefunction crosses zero. The expected and computed eigenvalues are shown to match the analytic solution.
Detailed Information
Author: | ['jaswinder singh'] |
---|---|
Publication Year: | 2018 |
Pages: | 4 |
Language: | English |
Format: | |
Price: | FREE |
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