caa a22 4500 445843594 CHVBK 20180317145352.0 cr unu---uuuuu 170323e20110101xx s 000 0 eng 10.1007/s00526-010-0339-x doi (NATIONALLICENCE)springer-10.1007/s00526-010-0339-x Weakly coupled bound states of Pauli operators [Elektronische Daten] [Rupert Frank, Sergey Morozov, Semjon Vugalter] We consider the two-dimensional Pauli operator perturbed by a weakly coupled, attractive potential. We show that besides the eigenvalues arising from the Aharonov-Casher zero modes there are two or one (depending on whether the flux of the magnetic field is integer or not) additional eigenvalues for arbitrarily small coupling and we calculate their asymptotics in the weak coupling limit. The Authors, 2010 Frank Rupert Department of Mathematics, Princeton University, 08544, Princeton, NJ, USA aut Morozov Sergey Department of Mathematics, University College London, Gower Street, WC1E 6BT, London, UK aut Vugalter Semjon Mathematisches Institut der Ludwig-Maximilians-Universität, Theresienstr. 39, 80333, Munich, Germany aut Calculus of Variations and Partial Differential Equations Springer-Verlag 40/1-2(2011-01-01), 253-271 0944-2669 40:1-2<253 2011 40 526 https://doi.org/10.1007/s00526-010-0339-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00526-010-0339-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Frank Rupert Department of Mathematics, Princeton University, 08544, Princeton, NJ, USA aut NATIONALLICENCE 700 1- Morozov Sergey Department of Mathematics, University College London, Gower Street, WC1E 6BT, London, UK aut NATIONALLICENCE 700 1- Vugalter Semjon Mathematisches Institut der Ludwig-Maximilians-Universität, Theresienstr. 39, 80333, Munich, Germany aut NATIONALLICENCE 773 0- Calculus of Variations and Partial Differential Equations Springer-Verlag 40/1-2(2011-01-01), 253-271 0944-2669 40:1-2<253 2011 40 526 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer