TY  - JOUR
A1  - Schürger, Peter
A1  - Engel, Volker
T1  - On the relation between nodal structures in quantum wave functions and particle correlation
T2  - AIP Advances
N2  - We study the influence of nodal structures in two-dimensional quantum mechanical densities on wave packet entanglement. This is motivated by our recent study [Entropy, 25, 970 (2023)], which showed that the mutual information derived from the momentum-space probability density of a coupled two-particle system exhibits an unusual time dependence, which is not encountered if the position-space density is employed in the calculation. In studying a model density, here, we identify cases where the mutual information increases with the number of nodes in the wave function and approaches a finite value, whereas in this limit, the linear correlation vanishes. The results of the analytical model are then applied to interpret the correlation measures for coupled electron-nuclear dynamics, which are treated by numerically solving the time-dependent Schrödinger equation.
KW  - nodal structures
KW  - information theory entropy
KW  - particle correlations
KW  - time-dependent Schrodinger equation
KW  - covariance and correlation
KW  - quantum wave functions
KW  - Schroedinger equation
Y1  - 2023
UR  - https://opus.bibliothek.uni-wuerzburg.de/frontdoor/index/index/docId/35036
UR  - https://nbn-resolving.org/urn:nbn:de:bvb:20-opus-350361
VL  - 13
IS  - 12
ER  -