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
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Accepted: 26 June 2016
Published online: 28 July 2016
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.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2016