Non-accretive Schrodinger operators and exponential decay of their eigenfunctions

0479658 - ÚJF 2018 RIV IL eng J - Článek v odborném periodiku
Krejčiřík, David - Raymond, N. - Royer, J. - Siegl, Petr
Non-accretive Schrodinger operators and exponential decay of their eigenfunctions.
Israel Journal of Mathematics. Roč. 221, č. 2 (2017), s. 779-802. ISSN 0021-2172. E-ISSN 1565-8511
Grant CEP: GA ČR(CZ) GA14-06818S
Institucionální podpora: RVO:61389005
Klíčová slova: non-self-adjoint electromagnetic Schrodinger operators * Dirichlet realisation * Agmon-type exponential decay
Obor OECD: Pure mathematics
Impakt faktor: 0.744, rok: 2017

We consider non-self-adjoint electromagnetic Schrodinger operators on arbitrary open sets with complex scalar potentials whose real part is not necessarily bounded from below. Under a suitable sufficient condition on the electromagnetic potential, we introduce a Dirichlet realisation as a closed densely defined operator with non-empty resolvent set and show that the eigenfunctions corresponding to discrete eigenvalues satisfy an Agmon-type exponential decay.
Trvalý link: http://hdl.handle.net/11104/0275632