Numerical Analysis of Nodal Sets for Eigenvalues of Aharonov-Bohm Hamiltonians on the Square with Application to Minimal Partitions


Using the double covering approach introduced by B. Helffer, M. and T. HoffmannOstenhof and M. Owen and further developed for questions of isospectrality by the authors in collaboration with T. Hoffmann-Ostenhof, we analyze the variation of the eigenvalues of the one pole Aharonov-Bohm Hamiltonian on the square and the nodal picture of the associated… (More)
DOI: 10.1080/10586458.2011.565240