Topics
Resonant states, Functional equations, Complex analysis, Educational aids, Potential energy barrier, Schrodinger equations, Descriptive statistics

Quantum mechanics textbooks1–3 usually illustrate oscillations of the reflection. R(E) and transmission T(E) coefficients for the square well VSW [Eq. (1)] and barrier VSB potentials [Eq. (2)]:

(1)
(2)

The positive values of En=−V0+n2π2ℏ2/(8ma2) are the positions of the maxima in T(E) at which it is one (see Ref. 1, p. 105). Except for E0⁠, these energies are equal to the eigenvalues of Vbox⁠:

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