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About The Double Well Potential in Quantum Mechanics: A Simple, Numerically Exact Formulation
The document describes a numerically exact method for solving the Schrodinger equation for a double well potential. It allows students to obtain the eigenenergies and eigenstates without advanced mathematics. The method works by embedding the double well potential within an infinite square well potential. This allows expressing the wavefunction as a linear combination of infinite square well basis states and solving the resulting matrix eigenvalue problem. The document also compares the exact solution to the Wentzel-Kramers-Brillouin approximation, finding it to be remarkably accurate for low-lying states.
Detailed Information
| Author: | ['ceperic'] |
|---|---|
| Publication Year: | 2014 |
| Pages: | 10 |
| Language: | English |
| Format: | |
| Price: | FREE |
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