摘要
Under the Born-Oppenheimer approximation, the exact solution of the Schrodinger equation for a two-dimensional hydrogen molecular ion is obtained through separation of variables. The inter-quantum numbers and the modes of internal motion are determined by analysing the nodal structure of the wavefunction. The eigenstates are classified and the classical periodic orbits corresponding to the modes of internal motion are found.
Under the Born-Oppenheimer approximation, the exact solution of the Schrodinger equation for a two-dimensional hydrogen molecular ion is obtained through separation of variables. The inter-quantum numbers and the modes of internal motion are determined by analysing the nodal structure of the wavefunction. The eigenstates are classified and the classical periodic orbits corresponding to the modes of internal motion are found. two-center molecule, nodal structure, mode of internal motion.
基金
Project supported by the National Natural Science Foundation of China
the NSF of the United States.
