Quantum phase for an electric quadrupole moment in noncommutative quantum mechanics |
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Authors: | Halqem Nizamidin Abduwali Anwar Sayipjamal Dulat Kang Li |
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Affiliation: | 1. School of Mathematical Science, Capital Normal University, Beijing 100048, China2. School of Physics Science and Technology, Xinjiang University, Urumqi 830046, China3. Department of Physics, Hangzhou Normal University, Hangzhou 310036, China |
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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. |
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Keywords: | noncommutative quantum mechanics electric quadrupole moment quantum phase nonconnnutative phase space |
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