CHINESE JOURNAL OF PHYSICS VOL. 40, NO. 2 APRIL 2002

Aharonov-Bohm Effect on Landau States in Annular Cylindrical Boxes

E. Ley-Koo^1*, G. Villa-Torres^1*, and D. Kouznetsov<sup>2

1</sup>Instituto de Fisica-UNAM., Apartado Postal 20-364, 01000 México, D. F. México

²Mathematical Building, Box 87, University of Arizona, Tucson, AZ 85721, USA
(Received September 24, 2001)

The Schrödinger equation for an electron inside an annular cylindrical box and in the presence of an axial uniform magnetic field is solved in two comparative situations: i) when the magnetic induction $\vec{B}_0=\hat{k}B_0$ is the same in the central perforation and in the box, and ii) when its values in the perforation $\vec{B}_i=\hat{k}B_i$ and in the box $\vec{B}_0=\hat{k}B_0$ are different. The Aharonov-Bohm effect on the Landau states of the confined electron is exhibited through the analysis of the dependence of the energy eigenvalues and eigenfunctions on the difference of the magnetic flux in the perforation as B_i-B₀ changes.

PACS. 03.65.-w - Quantum mechanics.
PACS. 03.65.Bz - Aharonov-Bohm effect.

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