Quantum phase for an electric quadrupole moment in noncommutative quantum mechanics

Abstract

We study the noncommutative nonrelativistic quantum dynamics of a neutral particle, which possesses an electric qaudrupole moment, in the presence of an external magnetic field. First, by introducing a shift for the magnetic field, we give the Schrödinger equations in the presence of an external magnetic field both on a noncommutative space and a noncommutative phase space, respectively. Then by solving the Schrödinger equations both on a noncommutative space and a noncommutative phase space, we obtain quantum phases of the electric quadrupole moment, respectively. We demonstrate that these phases are geometric and dispersive.

Keywords

noncommutative quantum mechanics / electric quadrupole moment / quantum phase / noncommutative phase space

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Higher Education Press and Springer-Verlag Berlin Heidelberg