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Klein-Gordon oscillators in noncommutative phase space
  • 时间：0
  • 分类：O313[理学—一般力学与力学基础;理学—力学]
  • 作者机构：[1]Department of Physics, Shaanxi University of Technology, Hanzhong 723001, China, [2]Department of Physics, Hangzhou Normal University, Hang'zhou 310036, China, [3]School of Physics Science and Technology, Xinjiang University, Urumqi 830046, China
  • 相关基金：Supported by National Natural Science Foundation of China （10575026, 10665001, 10447005）, Natural Science Foundation of Zhejiang Province, China （Y607437）, and Natural Science Foundation of Education Bureau of Shaanxi Province, China （07JK207, 06JK326）
  • 相关项目：时空非对易理论及其物理效应的研究
关键词： Klein-Gordon振荡器, 非交换拓扑空间, 动力学, 可交换空间, noncommutative phase space, Landau problem, Klein-Gordon oscillators
中文摘要：

We study the Klein-Gordon oscillators in non-commutative (NC) phase space. We find that the Klein-Gordon oscillators in NC space and NC phase-space have a similar behaviour to the dynamics of a particle in commutative space moving in a uniform magnetic field. By solving the Klein-Gordon equation in NC phase space, we obtain the energy levels of the Klein-Gordon oscillators, where the additional terms related to the space-space and momentum-momentum non-commutativity are given explicitly.更多还原

英文摘要：

We study the Klein-Gordon oscillators in non-commutative （NC） phase space. We find that the Klein-Gordon oscillators in NC space and NC phase-space have a similar behaviour to the dynamics of a particle in commutative space moving in a uniform magnetic field. By solving the Klein-Gordon equation in NC phase space, we obtain the energy levels of the Klein-Gordon oscillators, where the additional terms related to the space-space and momentum-momentum non-commutativity are given explicitly.

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