Quantum Particle in a Regular Polygon by Finite Element Method
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The two-dimensional Schrödinger equation for a particle confined to a regular -gon (with
) can be written (in atomic units
)
Contributed by: S. M. Blinder (August 2022)
Open content licensed under CC BY-NC-SA
Snapshots
Details
Test for particle in a square. Exact solution:
.
Comparison with finite element method:
(
),
(
),
(
),
(
),
(
,
).
Reference
[1] Wikipedia. "Finite Element Method." (Jul 1, 2022). en.wikipedia.org/wiki/Finite_element_method.
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