How Do Eigenfunctions Behave in a Triple Delta Potential Well System?

Thread starter prairiedogj
Start date Mar 18, 2006
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Delta Potential Potential wells

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The discussion focuses on the behavior of eigenfunctions in a triple delta potential well system, specifically at positions -a, 0, and a. It is established that the eigenfunctions are represented by hyperbolic cosine (cosh) functions between the delta potentials and exhibit exponential decay beyond these points. The boundary conditions dictate that the difference in slopes at -a, 0, and +a is equal to the potential V, which is modeled as Vδ(0) for the delta functions.

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Mar 18, 2006

prairiedogj

one at -a, 0, and a.
Eigenfunctions?

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Mar 19, 2006

Meir Achuz

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Assuming the deltas are all positive,
te efs are cosh between the deltas, and exponential beyond.
The BC is that the difference in slopes at -a, 0, +a is V if the pots are
V\delta(0), etc.