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Nonuniqueness of memories
Author(s) -
Čápek V.
Publication year - 1999
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/(sici)1521-3889(199901)8:1<55::aid-andp55>3.0.co;2-k
Subject(s) - exciton , master equation , physics , statistical physics , markov process , inverse , perturbation theory (quantum mechanics) , perturbation (astronomy) , markov chain , transfer (computing) , simple (philosophy) , order (exchange) , quantum mechanics , mathematics , computer science , quantum , philosophy , statistics , geometry , epistemology , finance , parallel computing , economics
Nature prefers infinite to finite order perturbation theories. That is why we studied the exciton dynamics in a simple model of the interacting exciton‐phonon system again, by a tricky form of the Tokuyama‐Mori method yielding a natural way of including higher‐order terms and avoiding the problem of memories. Physically reasonable solution for site‐occupation probabilities corresponding to previous results is then used in an inverse manner to deduce the exciton memories able to reproduce them. We found that: 1. Thus determined memories are not unique. 2. Their different forms reconcile different conjectures about structure of the exciton memory functions. 3. The markovian approximation to the resulting Generalized master equations fails even when the memories decay much faster than the solution. 4. In connection with that, the Förster transfer rate formula together with the current Markov understanding of the exciton transfer becomes dubious.