Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

Spectral properties of relativistic quantum waveguides

Abstract : We make a spectral analysis of the massive Dirac operator in a tubular neighborhood 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.
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-03106700
Contributor : Thomas Ourmières-Bonafos <>
Submitted on : Tuesday, January 12, 2021 - 8:05:45 AM
Last modification on : Thursday, January 21, 2021 - 3:11:46 AM

Links full text

Identifiers

  • HAL Id : hal-03106700, version 1
  • ARXIV : 2101.04009

Citation

William Borrelli, Philippe Briet, David Krejcirik, Thomas Ourmières-Bonafos. Spectral properties of relativistic quantum waveguides. 2021. ⟨hal-03106700⟩

Share

Metrics

Record views

26