Abstract
We propose a new simple quantization rule form: Jn=nπ+δ(n), for exactly solvable and nonsolvable quantum systems. Here, Jn is the momentum integral between two turning points, n the principal quantum number, and δ(n) is a function of potential parameters and n. This new quantization rule form is a generalization of the conventional one, already developed for exactly solvable quantum systems. We found that δ(n) is a constant independent of n for exactly solvable quantum systems. We carry out the expression of δ(n) for V-shape potential, and show that it takes this form δ(n)=(π/2)+(1/a+bn+cn2) for anharmonic oscillators potential V(x)=αxp+βx2.