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Quantum phase for an electric quadrupole moment in noncommutative quantum mechanics |
Halqem Nizamidin1,Abduwali Anwar1,Sayipjamal Dulat2,*( ),Kang Li3 |
1. School of Mathematical Science, Capital Normal University, Beijing 100048, China
2. School of Physics Science and Technology, Xinjiang University, Urumqi 830046, China
3. 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 Schr?dinger equations in the presence of an external magnetic field both on a noncommutative space and a noncommutative phase space, respectively. Then by solving the Schr?dinger 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
noncommutative phase space
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Corresponding Author(s):
Sayipjamal Dulat
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Issue Date: 26 August 2014
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