Quantization Condition of the Bound States in $n$th-order Schrödinger equations

Xiong Fan

We prove a general approximate quantization rule ${\int }_{L_E}^{R_E}{k}_0(x)$ $dx=(N+\frac{1}{2})\ddot{I}€$ or $\oint k_0(x)$ $dx=(2N+1)\ddot{I}€$ (including both forward and backward processe…