中国物理B ›› 2013, Vol. 22 ›› Issue (7): 70303-070303.doi: 10.1088/1674-1056/22/7/070303
Sami Ortakaya
Sami Ortakaya
摘要: The exact solutions of the N-dimensional Klein-Gordon equation in the presence of an exactly solvable potential of V(r) = De(r/re-re/r)2 type have been obtained. The N dimensional Klein-Gordon equation has been reduced to a first-order differential equation via Laplace transformation. The exact bound state energy eigenvalues and corresponding wave functions for CH, H2, and HCl molecules interacting with pseudoharmonic oscillator potential in the arbitrary N dimensions have been determined. Bound state eigenfunctions used in applications related to molecular spectroscopy are obtained in terms of confluent hypergeometric functions.
中图分类号: (Solutions of wave equations: bound states)