论文标题
倒置振荡器：伪墓地和连贯状态
Inverted oscillator: pseudo hermiticity and coherent states
论文作者
论文摘要
众所周知，标准和倒谐波振荡器不同。在常规振荡器中替换为ω的代替是必要的，以使倒振荡器H^{r}给出。这种替代将导致反对对称的谐波振荡器哈密顿（IH^{OS}）。伪热关系已被用来将反对称谐的哈密顿量与倒置振荡器联系起来。通过使用简单的代数，我们介绍了描述倒谐波振荡器来重现分析溶液的梯子操作员。我们构建倒置的相干状态，从而最大程度地减少位置和动量之间的量子机械不确定性。
It is known that the standard and the inverted harmonic oscillator are different. Replacing thus of ω by iω in the regular oscillator is necessary going to give the inverted oscillator H^{r}. This replacement would lead to anti- PT-symmetric harmonic oscillator Hamiltonian (iH^{os}). The pseudo-hermiticity relation has been used here to relate the anti-PT-symmetric harmonic Hamiltonian to the inverted oscillator. By using a simple algebra, we introduce the ladder operators describing the inverted harmonic oscillator to reproduce the analytical solutions.We construct the inverted coherent states which minimize the quantum mechanical uncertainty between the position and the momentum.
