Y. Aharonov and D. Bohm, Significance of Electromagnetic Potentials in the Quantum Theory, Physical Review, vol.115, issue.3, pp.485-491, 1959.
DOI : 10.1103/PhysRev.115.485

V. Bonnaillie-noël and B. Helffer, Numerical Analysis of Nodal Sets for Eigenvalues of Aharonov???Bohm Hamiltonians on the Square with Application to Minimal Partitions, Experimental Mathematics, vol.52, issue.3, pp.304-322, 2011.
DOI : 10.1512/iumj.2010.59.3964

V. Bonnaillie-noël, B. Helffer, and T. Hoffmann-ostenhof, Aharonov???Bohm Hamiltonians, isospectrality and minimal partitions, Journal of Physics A: Mathematical and Theoretical, vol.42, issue.18, 1920.
DOI : 10.1088/1751-8113/42/18/185203

V. Bonnaillie-noël, B. Helffer, and G. Vial, Numerical simulations for nodal domains and spectral minimal partitions, ESAIM: Control, Optimisation and Calculus of Variations, vol.16, issue.1, pp.221-246, 2010.
DOI : 10.1051/cocv:2008074

D. Bucur, G. Buttazzo, and A. Henrot, Existence results for some optimal partition problems, Adv. Math. Sci. Appl, vol.8, issue.2, pp.571-579, 1998.

M. Conti, S. Terracini, and G. Verzini, An optimal partition problem related to nonlinear eigenvalues, Journal of Functional Analysis, vol.198, issue.1, pp.160-196, 2003.
DOI : 10.1016/S0022-1236(02)00105-2
URL : http://doi.org/10.1016/s0022-1236(02)00105-2

M. Conti, S. Terracini, and G. Verzini, On a class of optimal partition problems related to the Fu????k spectrum and to the monotonicity formulae, Calculus of Variations, vol.134, issue.1, pp.45-72, 2005.
DOI : 10.1007/s00526-004-0266-9

M. Conti, S. Terracini, and G. Verzini, A variational problem for the spatial segregation of reaction-diffusion systems, Indiana University Mathematics Journal, vol.54, issue.3, pp.779-815, 2005.
DOI : 10.1512/iumj.2005.54.2506

R. Courant and D. Hilbert, Methods of mathematical physics, 1953.

B. Helffer, M. Hoffmann-ostenhof, T. Hoffmann-ostenhof, and M. P. Owen, Nodal Sets for Groundstates of Schr??dinger Operators with Zero Magnetic Field in Non Simply Connected Domains, Communications in Mathematical Physics, vol.202, issue.3, pp.629-649, 1999.
DOI : 10.1007/s002200050599

B. Helffer and T. Hoffmann-ostenhof, On a magnetic characterization of spectral minimal partitions, Journal of the European Mathematical Society, vol.15, issue.6
DOI : 10.4171/JEMS/415

B. Helffer and T. Hoffmann-ostenhof, On minimal partitions: new properties and applications to the disk, Spectrum and dynamics of CRM Proc. Lecture Notes, pp.119-135, 2010.

B. Helffer, T. Hoffmann-ostenhof, and S. Terracini, Nodal domains and spectral minimal partitions, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol.26, issue.1, pp.101-138, 2009.
DOI : 10.1016/j.anihpc.2007.07.004
URL : https://hal.archives-ouvertes.fr/hal-00150455

D. Martin, Mélina, bibliothèque de calculsélémentscalculséléments finis, 2007.

K. Pankrashkin and S. Richard, SPECTRAL AND SCATTERING THEORY FOR THE AHARONOV???BOHM OPERATORS, Reviews in Mathematical Physics, vol.23, issue.01, pp.53-81, 2011.
DOI : 10.1142/S0129055X11004205
URL : https://hal.archives-ouvertes.fr/hal-00436006