非对易空间中耦合谐振子的能级分裂

Energy Splitting of Coupling Harmonic Oscillator in Noncommutative Space

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 noncommutative (NC) is introduced， which contain noncommutative of coordinatecoordinate， and find that the MoyalWeyl product in NC space can be replaced with a Bopp shift. Then， the energy splitting of the coupling harmonic oscillator in noncommutative spaces are discussed.

Abstract: The effect of noncommutativity of space have caused the physical academic circles widespread interest. In this paper， the noncommutative (NC) is introduced， which contain noncommutative of coordinatecoordinate， and find that the MoyalWeyl product in NC space can be replaced with a Bopp shift. Then， the energy splitting of the coupling harmonic oscillator in noncommutative spaces are discussed.