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Vibrational Relaxation in a Localized Excited Electronic State by the GME Method
Author(s) -
Vasilev A. N.,
Čápek V.
Publication year - 1984
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221250205
Subject(s) - master equation , excited state , lattice (music) , excitation , differential equation , relaxation (psychology) , ordinary differential equation , context (archaeology) , state (computer science) , lattice vibration , basis (linear algebra) , statistical physics , physics , quantum mechanics , mathematics , algorithm , geometry , phonon , psychology , social psychology , paleontology , acoustics , quantum , biology
Abstract A theory of the time evolution of the vibrational state of the lattice following an instantaneous excitation of a localized electronic state is presented for a simple model permitting both, the formal exact (in the basis of the deformed lattice states) and the second order generalized master equation (GME) treatment. The Nakajima‐Zwanzig form of the GME is used. The resulting integro‐differential equations are solved exactly by the generating function method (novel in this context) and the physical contents of the solution are discussed.