论文标题
贝特曼汉密尔顿的代数处理
Algebraic treatment of the Bateman Hamiltonian
论文作者
论文摘要
我们将代数方法应用于Bateman Hamiltonian，并从该操作员的伴随或常规矩阵表示中获取其固有频率和梯子操作员。目前的分析表明，与其他作者先前获得的复杂特征值兼容的特征功能不可正方。除此之外，梯子操作员会消灭无限数量的此类本征函数。
We apply the algebraic method to the Bateman Hamiltonian and obtain its natural frequencies and ladder operators from the adjoint or regular matrix representation of that operator. Present analysis shows that the eigenfunctions compatible with the complex eigenvalues obtained earlier by other authors are not square integrable. In addition to this, the ladder operators annihilate an infinite number of such eigenfunctions.
