A remarkable feature of the Landau–Zener transition is insensitivity survival probability to decay rate, τ−1, excited state. Namely, for a particle which initially (at t→−∞) in ground state remain at t→∞ same insensitive τ−1 due e.g. coupling continuum (Akulin and Schleich, 1992). This was demonstrated case when density states energy-independent. We study opposite limit step-like function energ...