Yw. Duan et al., NODAL STRUCTURE OF THE WAVE-FUNCTION FOR A 2-DIMENSIONAL HYDROGEN MOLECULAR ION, Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences, 39(3), 1996, pp. 317-329
Under the Born-Oppenheimer approximation, the exact solution of the Sc
hrodinger equation for a two-dimensional hydrogen molecular ion is obt
ained through separation of variables. The inter-quantum numbers and t
he modes of internal motion are determined by analysing the nodal stru
cture of the wavefunction. The eigenstates are classified and the clas
sical periodic orbits corresponding to the modes of internal motion ar
e found.