We make a spectral analysis of the massive Dirac operator in a tubular neighbourhood of an unbounded planar curve, subject to infinite mass boundary conditions. Under general assumptions on the curvature, we locate the essential spectrum and derive an effective Hamiltonian on the base curve which approximates the original operator in the thin-strip limit. We also investigate the existence of bound states in the non-relativistic limit and give a geometric quantitative condition for the bound states to exist.
Spectral Properties of Relativistic Quantum Waveguides / Borrelli, W., Briet, P., Krejcirik, D., Ourmières-Bonafos, T.. - In: ANNALES HENRI POINCARE'. - ISSN 1424-0637. - 23:(2022), pp. 4069-4114. [10.1007/s00023-022-01179-9]
Spectral Properties of Relativistic Quantum Waveguides
William Borrelli;
2022
Abstract
We make a spectral analysis of the massive Dirac operator in a tubular neighbourhood of an unbounded planar curve, subject to infinite mass boundary conditions. Under general assumptions on the curvature, we locate the essential spectrum and derive an effective Hamiltonian on the base curve which approximates the original operator in the thin-strip limit. We also investigate the existence of bound states in the non-relativistic limit and give a geometric quantitative condition for the bound states to exist.| File | Dimensione | Formato | |
|---|---|---|---|
|
Borrelli_Spectral-properties_2022.pdf
solo gestori archivio
Tipologia:
Versione editoriale (versione pubblicata con il layout dell'editore)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
759.81 kB
Formato
Adobe PDF
|
759.81 kB | Adobe PDF | Contatta l'autore |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
