2019/03/31 by Sumiyoshi Abe, Congjie Ou · 4 citations
Mathematics · Physics and Astronomy · #Action (physics) #Advanced Topics in Algebra #Formalism (music) #Invariant (physics) #Master equation #Operator (biology) #Quantum Mechanics and Applications #Spectral Theory in Mathematical Physics #Spectrum (functional analysis) #cond-mat.stat-mech #quant-ph
paper · pdf · open access · doi:10.1016/j.rinp.2019.102333
published in Results in Physics 14, 102333 (Elsevier BV) · 7 pages, no figures. Published version
openalex created_date 2019/03/11 · openalex publication_date 2019/05/09 · arxiv created 2019/07/05 · arxiv updated 2019/07/08 · openalex updated_date 2026/08/05
A weak invariant associated with a master equation is characterized in such a way that its spectrum is not constant in time but its expectation value is conserved under time evolution generated by the master equation. Here, an intriguing relationship between the concept of weak invariants and the action principle for master equations based on the auxiliary operator formalism is revealed. It is shown that the auxiliary operator can be thought of as a weak invariant.