Pair states in one-dimensional Dirac systems
Hartmann, RR; Portnoi, ME
Date: 13 June 2017
Journal
Physical Review A
Publisher
American Physical Society
Publisher DOI
Abstract
Analytic solutions of the quantum relativistic two-body problem are obtained for an interaction potential modeled as a one-dimensional smooth square well. Both stationary and moving pairs are considered and the limit of the δ-function interaction is studied in depth. Our result can be utilized for understanding excitonic states in ...
Analytic solutions of the quantum relativistic two-body problem are obtained for an interaction potential modeled as a one-dimensional smooth square well. Both stationary and moving pairs are considered and the limit of the δ-function interaction is studied in depth. Our result can be utilized for understanding excitonic states in narrow-gap carbon nanotubes. We also show the existence of bound states within the gap for a pair of particles of the same charge.
Physics and Astronomy
Faculty of Environment, Science and Economy
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