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

TL;DR

This paper provides supplemental formalism and methods for time-dependent quantum calculations of two-fermion emission in one dimension, applicable across various physical scales beyond nuclear physics.

Contribution

It introduces a generalized formalism for time-dependent two-fermion tunneling, extending previous nuclear physics studies to broader quantum systems.

Findings

Formalism applicable to various scales and targets

Enhanced methods for time-dependent quantum system analysis

Supplemental content supporting previous nuclear physics results

Abstract

Time-dependent calculation has been a suitable method to investigate the quantum 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-fermion tunneling in the nuclear-physics scale. Beside the specific results presented therein, some basic formalism and methods, which can be helpful for further discussions and developments to investigate time-dependent quantum systems, have been awaiting our description. This note is devoted to describe those supplemental contents. We do not limit the story to the nuclear physics, but keep it applicable to other scales and/or targets.