采用束缚波函数计算二维声学极化子基态能量

The Calculating of Ground State Energy of the Two Dimensional Acoustic Polaron by Using Bound State Wave Function

采用高斯型波函数考察了二维声学极化子基态能量作为电子-声子耦合常数的函数的变化特征.结果表明:采用高斯型束缚波函数的变分计算等同于运用类Huybrechts引入坐标、动量组合算符的变分法.理论推导和数值计算两方面佐证了Huybrechts变分法适用于整个耦合区间的特性.

The characters of ground state energy of the two dimensional acoustic poalron as a function of the electron-phonon coupling constant have been investigated by using the Gaussian wave function. The results indicate that the Huybrechts-like approach is equivalent to the variational approach by using the bound state wave function. It was verified that the Huybrechts approach is applicable for the whole coupling range by theory deducing and numerical calculating.