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Linear response theory of uniformly complex‐scaled many‐body systems
Author(s) -
Whitenack D.L.
Publication year - 2012
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/andp.201200062
Subject(s) - complex conjugate , linear response theory , physics , complex system , metastability , linear system , perturbation theory (quantum mechanics) , hermitian matrix , perturbation (astronomy) , classical mechanics , mathematical analysis , mathematics , quantum mechanics , computer science , condensed matter physics , artificial intelligence
Linear response functions for a uniformly complex‐scaled many‐body system are derived. Differences between these functions and their Hermitian analogs are emphasized including additional poles at metastable excitations. Energy absorption is investigated and it is shown how a complex‐scaled external perturbation and its complex‐conjugate couples to the system's energy and lifetime.