Abstract
In this paper, the generalized Klein-Gordon oscillator is studied in the framework of Lorentz symmetry violation, and the Nikiforov-Uvarov method is used to analyze the Klein-Gordon oscillator with and without magnetic field. On this basis, we analyze some special cases of Klein-Gordon oscillators with Cornell potential functions in detail. The results show that the wave function and the energy eigenvalues of the generalized Klein-Gordon oscillator obviously depend on the Lorentz symmetry violation effect, and the Cornell potential function also has a non-negligible effect on the Klein-Gordon oscillator.
Highlights
The results show that the wave function and the energy eigenvalues of the generalized KleinGordon oscillator obviously depend on the Lorentz symmetry violation effect, and the Cornell potential function also has a non-negligible effect on the Klein-Gordon oscillator
图 4 以 λ 为变量取 4 个不同 B0 值的能量 Fig. 4
Summary
洛伦兹破缺理论与Vaidya黑洞弯曲时空中的Dirac粒子隧穿辐射特征 Lorentz-violating theory and tunneling radiation characteristics of Dirac particles in curved spacetime of Vaidya black hole 物理学报. 洛仑兹破缺标量场的霍金隧穿辐射 Hawking tunneling radiation in Lorentz-violating scalar field theory 物理学报. 一维谐振子束缚的自旋轨道耦合玻色气体 One-dimensional spin-orbit coupling Bose gases with harmonic trapping 物理学报. 二维耦合谐振子的非对易能谱 On noncommutative energy spectra in two-dimensional coupling harmonic oscillator 物理学报. 然而, SM 面 临着一些无法解释的物理现象, 如暗物质和暗能量 及引力相互作用等, 因此, Kosteleck 和 Samuel[18] 在弦理论的基础上提出了具有洛伦兹对称破缺 (Lorentz symmetry violation, LSV) 的标准模型扩展理论 (standard model extension, SME).
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