Quantum phase for an electric quadrupole moment in noncommutative quantum mechanics
Halqem Nizamidin, Abduwali Anwar, Sayipjamal Dulat A +1 more
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.
Frontiers of Physics•May 8, 2014•16 citations