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 mode...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.展开更多
基金Project supported by the National Natural Science Foundation of Chinathe NSF of the United States.
文摘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.
