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To this end, we suggest a theory for explaining non-Hermitian quantum methods embedded in constant-temperature environments. Across the outlines discussed in [A. Sergi et al., Symmetry 10 518 (2018)], we adopt the operator-valued Wigner formula of quantum mechanics (wherein the density matrix is based on the points for the Wigner stage space linked to the system) and derive a non-linear equation of movement. Moreover, we introduce a model for a non-Hermitian quantum single-molecule junction (nHQSM
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