论文标题
二维非热谐波振荡器：相干状态
Two dimensional non-Hermitian harmonic oscillator: coherent states
论文作者
论文摘要
在这项研究中，我们引入了具有空间和时间反射对称性的二维复杂谐波振荡势。相应的时间独立的schrödinger方程产生具有复杂本征函数的真实特征值。我们还通过使用12个本征函数的叠加来构建系统的连贯状态。使用复杂的对应原理，我们研究了由于哈密顿量的非富特式而引起的概率密度的可能修饰。
In this study, we introduce a two dimensional complex harmonic oscillator potential with space and time reflection symmetries. The corresponding time independent Schrödinger equation yields real eigenvalues with complex eigenfunctions. We also construct the coherent state of the system by using a superposition of 12 eigenfunctions. Using the complex correspondence principle for the probability density we investigate the possible modifications in the probability densities due to the non-Hermitian aspect of the Hamiltonian.
