- 02-278 R. Brummelhuis, P. Duclos
- On the one dimensional behaviour of atoms in intense homogeneous magnetic fields
Jun 25, 02
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Abstract. We show that the Hamiltonian of an atomic ion with $N$ bosonic electrons which is submitted to an homogeneous magnetic field and when appropriately scaled and zoomed, converges, as the strength of the field tends to infinity and in the norm resolvent sense, to the Hamiltonian of a one dimensional atomic ion where the coulombic interactions have been replaced by "delta potentials".