A. R. Akhmerov and C. W. Beenakker, Boundary conditions for dirac fermions on a terminated honeycomb lattice, Phys. Rev. B, vol.77, p.85423, 2008.

N. Arrizabalaga, L. L. Treust, and N. Raymond, On the MIT Bag Model in the Non-relativistic Limit, Comm. Math. Phys, vol.354, issue.2, pp.641-669, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01343717

N. Arrizabalaga, L. L. Treust, and N. Raymond, Extension operator for the MIT bag model, Annales de la Faculté des Sciences de Toulouse. Mathématiques, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01540149

C. Bär and W. Ballmann, Boundary value problems for elliptic differential operators of first order, Surveys in differential geometry, vol.XVII, pp.1-78, 2012.

L. Barbaroux, J. Cornean, H. D. Le-treust, and E. Stockmeyer, Resolvent convergence to Dirac operators on planar domains, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01891944

R. D. Benguria, S. Fournais, E. Stockmeyer, H. Van-den, and . Bosch, Spectral gaps of Dirac operators with boundary conditions relevant for graphene, 2016.

M. V. Berry and R. J. Mondragon, Neutrino billiards: time-reversal symmetry-breaking without magnetic fields, Proc. Roy. Soc. London Ser. A, vol.412, pp.53-74, 1842.

P. Bogolioubov, Sur un modèlè a quarks quasi-indépendants, vol.8, pp.163-189, 1968.

B. Booß-bavnbek, M. Lesch, and C. Zhu, The Calderón projection: new definition and applications, J. of Geom. and Phys, vol.59, issue.7, pp.784-826, 2009.

A. Chodos, R. L. Jaffe, K. Johnson, C. B. Thorn, and V. F. Weisskopf, New extended model of hadrons, Phys. Rev. D, vol.9, issue.3, pp.3471-3495, 1974.

T. Degrand, R. L. Jaffe, K. Johnson, and J. Kiskis, Masses and other parameters of the light hadrons, Phys. Rev. D, vol.12, pp.2060-2076, 1975.

L. C. Evans, Partial differential equations, 1998.

K. Johnson, The MIT bag model, Acta Phys. Pol., B, issue.6, pp.865-892, 1975.

A. Mas and F. Pizzichillo, Klein's paradox and the relativistic ?-shell interaction in R 3, Anal. PDE, vol.11, issue.3, pp.705-744, 2018.

T. Ourmì-eres-bonafos and L. Vega, A strategy for self-adjointness of Dirac operators: applications to the MIT bag model and ?-shell interactions, Publ. Mat, vol.62, issue.2, pp.397-437, 2018.

E. Stockmeyer and S. Vugalter, Infinite mass boundary conditions for Dirac operators, Journal of Spectral Theory, 2018.

B. Thaller, The Dirac equation. Texts and Monographs in Physics, 1992.

, address: loic.le-treust@univ-amu.fr (A. Mas) Departament de Matemàtiques i Informàtica

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