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物理学前沿：英文版

Quantum phase for an electric quadrupole moment in noncommutative quantum mechanics

Halqem, Nizamidin, Abduwali, Anwar, Sayipjamal, Dulat, Kang, Li

Published Jan 1, 2014• 0 citations
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Abstract

我们学习一个中立粒子的 noncommutative nonrelativistic 量动力学，它拥有一电的 qaudrupole 时刻，面对一个外部磁场。由为磁场介绍移动，首先，我们给 Schr ? dinger 方程两个都分别地在一个 noncommutative 空格和 noncommutative 面对一个外部磁场分阶段执行空间。然后由解决 Schr ? dinger 方程两个都在一个 noncommutative 空格和 noncommutative 分阶段执行空间，我们分别地获得电的四极时刻的量阶段。我们证明这些阶段是几何、散的。

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我们学习一个中立粒子的 noncommutative nonrelativistic 量动力学，它拥有一电的 qaudrupole 时刻，面对一个外部磁场。由为磁场介绍移动，首先，我们给 Schr ? dinger 方程两个都分别地在一个 noncommutative 空格和 noncommutative 面对一个外部磁场分阶段执行空间。然后由解决 Schr ? dinger 方程两个都在一个 noncommutative 空格和 noncommutative 分阶段执行空间，我们分别地获得电的四极时刻的量阶段。我们证明这些阶段是几何、散的。
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.
The Aharonov-Bohm (AB) effect in non-commutative quantum mechanics (NCQM) is studied. First, by introducing a shift for the magnetic vector potential we give the Schrddoto\\ddot{o}ddotodinger equations in the presence of a magnetic field on NC space and NC phase space, respectively. Then by solving the Schrddoto\\ddot{o}ddotodinger equations, we obtain the Aharonov-Bohm (AB) phase on NC space and NC phase space, respectively.