论文标题
在计算由双曲双井电势支持的结合状态能量
On the calculation of bound-state energies supported by hyperbolic double well potentials
论文作者
论文摘要
我们获得具有双曲双孔电势的Schrödinger方程的特征值和特征功能。我们考虑了该模型参数的任意值的电位 - 强度参数的某些特定值的精确多项式解和数值。我们通过适合特征值的合适的精确渐近表达来测试数值方法，并计算与电势支持的结合状态数量相关的强度参数的临界值。
We obtain eigenvalues and eigenfunctions of the Schrödinger equation with a hyperbolic double-well potential. We consider exact polynomial solutions for some particular values of the potential-strength parameter and also numerical energies for arbitrary values of this model parameter. We test the numerical method by means of a suitable exact asymptotic expression for the eigenvalues and also calculate critical values of the strength parameter that are related to the number of bound states supported by the potential.
