Solution of the spin-one DKP oscillator under an external magnetic field in noncommutative space with minimal length
Solution of the spin-one DKP oscillator under an external magnetic field in noncommutative space with minimal length
复制标题
DOI：
10.1088/1674-1056/27/1/010301
复制
发表时间：
2018
影响因子：
1.7
通讯作者：
Bing-qian Wang;Z. Long;C. Long;Shurui Wu
中科院分区：
文献类型：
--
作者：
Bing-qian Wang;Z. Long;C. Long;Shurui Wu
利用动量空间表象研究了非对易坐标空间中存在最小长度的磁场作用下自旋为1的Duffin-Kemmer-Petiau（DKP）振子.找到了能量本征值的显式形式，并以雅可比多项式的形式得到了本征函数。结果表明，对于相同的方位量子数，能量E随非对易参数和最小长度参数单调增加。此外，我们还报道了一些特殊情况，旨在讨论非对易坐标空间和能谱中的最小长度的影响。
The spin-one Duffin–Kemmer–Petiau (DKP) oscillator under a magnetic field in the presence of the minimal length in the noncommutative coordinate space is studied by using the momentum space representation. The explicit form of energy eigenvalues is found, and the eigenfunctions are obtained in terms of the Jacobi polynomials. It shows that for the same azimuthal quantum number, the energy E increases monotonically with respect to the noncommutative parameter and the minimal length parameter. Additionally, we also report some special cases aiming to discuss the effect of the noncommutative coordinate space and the minimal length in the energy spectrum.