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MIT bag in non-smooth convex domains

Analysis of PDEs 2025-09-26 v1 Mathematical Physics math.MP Spectral Theory

Abstract

The Dirac operator with MIT bag boundary condition in a bounded convex domain is shown to be always self-adjoint in the H1H^1-setting. This allows one to show that such operators appear as limit of Dirac operators with large positive mass outside the domain. Similar results were previously known for smooth domains only.

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Cite

@article{arxiv.2509.20958,
  title  = {MIT bag in non-smooth convex domains},
  author = {Konstantin Pankrashkin},
  journal= {arXiv preprint arXiv:2509.20958},
  year   = {2025}
}

Comments

21 pages

R2 v1 2026-07-01T05:55:45.600Z