量子Weyl代数对谐振子的一阶效应
The First Order Effect of the Quantum Weyl Algebra on a Harmonic Oscillator
摘要：
我们研究了量子Weyl代数的一个具体实现，并将其扩展到一阶。从这里，我们将得到的代数应用于基态的量子谐振子，并观察一个稍微非对易的空间如何影响物理系统。主要结果是，类似于自由粒子的磁场出现，但一个新的观察是，耗散项出现在扰动哈密顿量以及。
英文摘要：
We examine a concrete realization of the quantum Weyl algebra and expand it to first order. From here we apply the resulting algebra to a quantum harmonic oscillator in its ground state and observe how a slightly noncommutative space affects the physical system. The main result is, similar to a free particle a magnetic field appears, but a new observation is that a dissipative term appears in the perturbed Hamiltonian as well.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
