Eur. Phys. J. Plus (2016) 131: 247
https://doi.org/10.1140/epjp/i2016-16247-7

Regular Article

Angular momentum and Zeeman effect in the presence of a minimal length based on the Kempf-Mann-Mangano algebra

Department of Physics, Faculty of Sciences, Salman Farsi University of Kazerun, 73175-457, Kazerun, Iran

^* e-mail: b_khosropour@kazerunsfu.ac.ir

Received: 18 February 2016
Accepted: 26 June 2016
Published online: 28 July 2016

Abstract

In this work, we consider a D-dimensional ( -two-parameters deformed Heisenberg algebra, which was introduced by Kempf et al. The angular-momentum operator in the presence of a minimal length scale based on the Kempf-Mann-Mangano algebra is obtained in the special case of up to the first order over the deformation parameter . It is shown that each of the components of the modified angular-momentum operator, commutes with the modified operator . We find the magnetostatic field in the presence of a minimal length. The Zeeman effect in the deformed space is studied and also Lande's formula for the energy shift in the presence of a minimal length is obtained. We estimate an upper bound on the isotropic minimal length.