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Semiclassical reproducibility of sawtooth structure observed for a periodically perturbed rounded-rectangular potential

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In the previous work [Takahashi and Ikeda, Phys. Rev. E 109, 044203 (2024)2470-004510.1103/PhysRevE.109.044203], we found that tunneling probabilities for a periodically perturbed rounded rectangular potential form a sawtoothlike structure as a function of eit... ...