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Time-dependent calculation has been a suitable method to investigate thequantum dynamical processes. In Ref. [1] = [T. Oishi et al., J. of Phys. G 45,105101 (2018)], we applied this method to the one-dimensional two-fermiontunneling in the nuclear-physics scale. Beside the specific results presentedtherein, some basic formalism and methods, which can be helpful for furtherdiscussions and developments to investigate time-dependent quantum systems,have been awaiting our description. This note is devoted to describe thosesupplemental contents. We do not limit the story to the nuclear physics, butkeep it applicable to other scales and/or targets.

Supplemental note for "Two-fermion emission from spin-singlet and triplet resonances in one dimension"