Energy Splitting of Coupling Harmonic Oscillator in Noncommutative Space
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摘要: 非对易空间效应的出现引起了物理学界的广泛兴趣。 介绍了非对易空间中量子力学的代数关系,在所考虑的空间变量的对易关系中包含了坐标坐标的非对易性, 并且把 Moyal-Weyl 乘法在非对易空间中通过一个Bopp变换转变成普通的乘法。 然后给出了非对易空间中耦合谐振子的能级分裂情况。 The effect of noncommutativity of space have caused the physical academic circles widespread interest. In this paper, the noncommutative (NC) is introduced, which contain noncommutative of coordinatecoordinate, and find that the MoyalWeyl product in NC space can be replaced with a Bopp shift. Then, the energy splitting of the coupling harmonic oscillator in noncommutative spaces are discussed.Abstract: The effect of noncommutativity of space have caused the physical academic circles widespread interest. In this paper, the noncommutative (NC) is introduced, which contain noncommutative of coordinatecoordinate, and find that the MoyalWeyl product in NC space can be replaced with a Bopp shift. Then, the energy splitting of the coupling harmonic oscillator in noncommutative spaces are discussed.
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Key words:
- noncommutative space /
- coupling harmonic oscillator /
- energy splitting
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