Eigenfunctions for a Linear Potential Field

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This Demonstration computes the quantum-mechanical eigenvalues and eigenfunctions for a particle in a linear potential field (with ℏ=1, for simplicity). This corresponds to the classical case of a constant external force. The solutions involve Airy functions, which behave asymptotically like decreasing exponentials to the right of the turning point and sinusoidally to the left.

Contributed by: Soobin Sinn (June 2009)
Suggested by: Mahn-Soo Choi (Korea University)
Open content licensed under CC BY-NC-SA


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