Landau-Zener transition: P_dia(v→0) = 0 (adiabatic); P_dia(v→∞) = 1 (diabatic); four exact limits

Velocity-limit evaluations: P_dia(v → 0) = 0 (adiabatic limit); P_dia(v → ∞) = 1 (diabatic limit); P_adia(v → 0) = 1 (adiabatic limit); P_adia(v → ∞) = 0 (diabatic limit). Canonical pins: P_dia symbolic form; four exact integer limit…