N=2 SUSY model for the lowest Landau level in locally quasi-harmonic electric fields
Dipartimento di Scienze Fisiche, Università di Salerno
Unità INFM and INFN, Salerno -
Via Allende I-84081 Baronissi (SA), Italy
Accepted: 16 December 1998
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.
PACS: 03.65.-w – Quantum mechanics / 11.30.Pb – Supersymmetry / 73.40.Hm – Quantum Hall effect (integer and fractional)
© EDP Sciences, 1999