Pair states in one-dimensional Dirac systems

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 ä-function interaction is studied in depth. Our result can be utilized for u...

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Bibliographic Details
Main Authors: Hartmann, R. R., Portnoi, M. E.
Format: text
Published: Animo Repository 2017
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Online Access:https://animorepository.dlsu.edu.ph/faculty_research/355
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Institution: De La Salle University
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Summary: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 ä-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. © 2017 American Physical Society.