Polya's theorem and migration + capture of a quantum particle

1Zagorodny, AG, 1Christophorov, LN
1Bogolyubov Institute for Theoretical Physics of the NAS of Ukraine, Kyiv
Dopov. Nac. akad. nauk Ukr. 2016, 11:44-51
https://doi.org/10.15407/dopovidi2016.11.044
Section: Physics
Language: Ukrainian
Abstract: 

Due to Polya's theorem, the quantum yield of capture of a particle, walking randomly on a low-dimensional lattice, by a trap located on one of its nodes is always 100 %, irrespective of the capture intensity. Under quantum migration, however, it is practically always less than 100 % and, contrary to intuition, only diminishes down to zero with the capture intensity growing.

Keywords: low-dimensional lattices, migration and capture, particle transport, Polya's theorem, quantum yield
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