N = 2 SUSY model for the lowest Landau level in locally quasi-harmonic electric fields

1999 EDP Sciences
, , Citation S. De Filippo 1999 EPL 45 535 DOI 10.1209/epl/i1999-00200-6

0295-5075/45/5/535

Abstract

It is shown that the planar Hamiltonian for an electron in uniform magnetic and cylindrically symmetric electric fields, perpendicular to one another, can be written in terms of a N = 2 SUSY Hamiltonian. Its lowest eigenfunctions are exact or approximate lowest Landau wave functions if the electric potential, respectively, is harmonic or obeys proper local quasi-harmonicity conditions.

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10.1209/epl/i1999-00200-6