论文标题
非平凡的PT对称连续体哈密顿及其本征和本征值
A non-trivial PT-symmetric continuum Hamiltonian and its Eigenstates and Eigenvalues
论文作者
论文摘要
在本文中，讨论了由连续PT对称性汉密尔顿人控制的非平凡系统。我们表明，这种哈密顿量是简单的谐波振荡器的同一光谱。我们发现其本征函数和沿着这些函数形成正顺序集的复杂平面中的路径。我们还为此系统找到了隐藏的对称运算符$ {\ cal c} $。所有计算均在分析和无近似情况下进行。
In this paper, a non-trivial system governed by a continuum PT-symmetric Hamiltonian is discussed. We show that this Hamiltonian is iso-spectral to the simple harmonic oscillator. We find its eigenfunctions and the path in the complex plane along which these functions form an orthonormal set. We also find the hidden symmetry operator, ${\cal C}$, for this system. All calculations are performed analytically and without approximation.
