title: Formally exact quantization condition for nonrelativistic quantum systems.
abstract: Based on the standard transfer matrix, a formally exact quantization condition for arbitrary potentials, which outflanks and unifies the historical approaches, is derived. It can be used to find the exact bound-state energy eigenvalues of the quantum system without solving an equation of motion for the system wave functions.
authors.affiliation: Department of Physics, Shanghai Jiao Tong University, Shanghai 200240, People's Republic of China. ouyongcheng@163.com
authors.forename: Y C
authors.initials: YC
authors.lastname: Ou
authors.forename: Zhuangqi
authors.initials: Z
authors.lastname: Cao
authors.forename: Qishun
authors.initials: Q
authors.lastname: Shen