摘要
A detailed procedure based on an analytical transfer matrix method is presented to solve bound-state problems. The derivation is strict and complete. The energy eigenvalues for an arbitrary one-dimensional potential can be obtained by the method. The anharmonic oscillator potential and the rational potential are two important examples. Checked by numerical techniques, the results for the two potentials by the present method are proven to be exact and reliable.
A detailed procedure based on an analytical transfer matrix method is presented to solve bound-state problems. The derivation is strict and complete. The energy eigenvalues for an arbitrary one-dimensional potential can be obtained by the method. The anharmonic oscillator potential and the rational potential are two important examples. Checked by numerical techniques, the results for the two potentials by the present method are proven to be exact and reliable.
基金
Project supported by the National Natural Science Foundation of China (Grant Nos. 60877055 and 60806041)
the Shanghai Rising-Star Program,China (Grant No. 08QA14030)
the Innovation Funds for Graduates of Shanghai University,China (Grant No. SHUCX092021)
the Foundation of the Science and Technology Commission of Shanghai Municipality,China (Grant No. 08JC14097)
