5 citations · 35 across the 32 of their papers we have counts for
Showing 2017Show all
3 papers · 1 filter
math.AP2017★ 3 cited
Nodal domains, spectral minimal partitions, and their relation to Aharonov-Bohm operators
Virginie Bonnaillie-Noël, Bernard Helffer, Thomas Hoffmann-Ostenhof
This survey is a short version of a chapter written by the first two authors in the book [A. Henrot, editor. Shape optimization and spectral theory. Berlin: De Gruyter, 2017] (wher…
math-ph2017★ 1 cited
On the domain of a magnetic Schrödinger operator with complex electric potential
B Helffer, Jean Nourrigat
The aim of this paper is to review and compare the spectral properties of (the closed extension of) -- + U (V 0) and -- + iV in L 2 (R^d) for C real potentials…
math.SP2017★ 2 cited
On the semi-classical analysis of the groundstate energy of the Dirichlet Pauli operator in non-simply connected domains
Bernard Helffer, Mikael Persson Sundqvist
We consider the Dirichlet Pauli operator in bounded connected domains in the plane, with a semi-classical parameter. We show, in particular, that the ground state energy of this Pa…