TY  - JOUR
A1  - Schürger, Peter
A1  - Engel, Volker
T1  - Differential Shannon entropies characterizing electron–nuclear dynamics and correlation: momentum-space versus coordinate-space wave packet motion
T2  - Entropy
N2  - We calculate differential Shannon entropies derived from time-dependent coordinate-space and momentum-space probability densities. This is performed for a prototype system of a coupled electron–nuclear motion. Two situations are considered, where one is a Born–Oppenheimer adiabatic dynamics, and the other is a diabatic motion involving strong non-adiabatic transitions. The information about coordinate- and momentum-space dynamics derived from the total and single-particle entropies is discussed and interpreted with the help of analytical models. From the entropies, we derive mutual information, which is a measure for the electron–nuclear correlation. In the adiabatic case, it is found that such correlations are manifested differently in coordinate- and momentum space. For the diabatic dynamics, we show that it is possible to decompose the entropies into state-specific contributions.
KW  - differential Shannon entropy
KW  - correlation
KW  - electron–nuclear dynamics
Y1  - 2023
UR  - https://opus.bibliothek.uni-wuerzburg.de/opus4-wuerzburg/frontdoor/index/index/docId/36267
UR  - https://nbn-resolving.org/urn:nbn:de:bvb:20-opus-362670
SN  - 1099-4300
VL  - 25
IS  - 7
ER  -