In this note, we study the scattering amplitude for the Schrödinger equation with constant magnetic field. We consider the case where the strengh of the magnetic field goes to infinity and we discuss the competition between the magnetic and the electrostatic effects.
Keywords: Scattering theory, Schrödinger equation, Magnetic fields
@article{JEDP_2005____A8_0, author = {Michel, Laurent}, title = {Scattering amplitude for the {Schr\"odinger} equation with strong magnetic field}, journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles}, eid = {8}, pages = {1--17}, publisher = {Groupement de recherche 2434 du CNRS}, year = {2005}, doi = {10.5802/jedp.20}, mrnumber = {2352776}, language = {en}, url = {http://www.numdam.org/articles/10.5802/jedp.20/} }
TY - JOUR AU - Michel, Laurent TI - Scattering amplitude for the Schrödinger equation with strong magnetic field JO - Journées équations aux dérivées partielles PY - 2005 SP - 1 EP - 17 PB - Groupement de recherche 2434 du CNRS UR - http://www.numdam.org/articles/10.5802/jedp.20/ DO - 10.5802/jedp.20 LA - en ID - JEDP_2005____A8_0 ER -
%0 Journal Article %A Michel, Laurent %T Scattering amplitude for the Schrödinger equation with strong magnetic field %J Journées équations aux dérivées partielles %D 2005 %P 1-17 %I Groupement de recherche 2434 du CNRS %U http://www.numdam.org/articles/10.5802/jedp.20/ %R 10.5802/jedp.20 %G en %F JEDP_2005____A8_0
Michel, Laurent. Scattering amplitude for the Schrödinger equation with strong magnetic field. Journées équations aux dérivées partielles (2005), article no. 8, 17 p. doi : 10.5802/jedp.20. http://www.numdam.org/articles/10.5802/jedp.20/
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