论文标题
构建谐波振荡电势的合理扩展的相干状态
Constructing Coherent States for the Rational Extensions of the Harmonic Oscillator Potential
论文作者
论文摘要
使用Maya图和梯子操作员的形式主义，我们描述了歼灭操作员的代数，用于谐波振荡器的理性扩展类别。这使我们能够从Barut和Girardello的意义上构建相应的连贯状态。由此产生的时间依赖性函数是时间依赖性的Schrodinger方程和an灭代数的关节征函数的精确解。
Using the formalism of Maya diagrams and ladder operators, we describe the algebra of annihilating operators for the class of rational extensions of the harmonic oscillators. This allows us to construct the corresponding coherent state in the sense of Barut and Girardello. The resulting time-dependent function is an exact solution of the time-dependent Schrodinger equation and a joint eigenfunction of the algebra of annihilators.
