Impurity-bound excitons in one and two dimensions

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Abstrakt

We study three-body Schrödinger operators in one and two dimensions modelling an exciton interacting with a charged impurity. We consider certain classes of multiplicative interaction potentials proposed in the physics literature. We show that if the impurity charge is larger than some critical value, then three-body bound states cannot exist. Our spectral results are confirmed by variational numerical computations based on projecting on a finite dimensional subspace generated by a Gaussian basis.

OriginalsprogEngelsk
TidsskriftJournal of Spectral Theory
Vol/bind10
Udgave nummer3
Sider (fra-til)1103-1138
Antal sider36
ISSN1664-039X
DOI
StatusUdgivet - 2020

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