Minimal Length Quantum Mechanics of Dirac Particles in Noncommutative Space

我们学习二维的泛音振荡器在可交换并且在为 spin-1/2 粒子的最小的长度量力学的框架以内的 noncommutative 空间精力系列和特徵函数在两个盒子中被获得特殊情况也被推出。

We study the two-dimensional harmonic oscillator in commutative and noncommutative space within the framework of minimal length quantum mechanics for spin-l^2 particles. The energy spectra and the eigenfunction are obtained in both cases. Special cases are also deduced.