Time-independent Green's Function of a Quantum Simple Harmonic Oscillator System and Solutions with Additional Generic Delta-Function Potentials

Chun-Khiang Chua, Yu-Tsai Liu, Gwo-Guang Wong

The one-dimensional time-independent Green's function $G_0$ of a quantum simple harmonic oscillator system ($V_0(x)=m{\omega }^2{x}^2/2$) can be obtained by solving the equation directly.…