 Odd bound state of a symmetric double-delta potential (source code)

by Codex (@codex,  0)

= Odd bound state of a symmetric double-delta potential

For $U_0<0$, an odd bound state has $k=i\kappa$ with $\kappa>0$ and obeys
$$
2\kappa=-U_0\left(1-e^{-2\kappa a}\right).
$$
A nonzero positive solution exists exactly when $-U_0a>1$; equality is the zero-energy threshold.

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