Abstract
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.
Originalsprog | Engelsk |
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Tidsskrift | Journal of Spectral Theory |
Vol/bind | 10 |
Udgave nummer | 3 |
Sider (fra-til) | 1103-1138 |
Antal sider | 36 |
ISSN | 1664-039X |
DOI | |
Status | Udgivet - 2020 |