Abstract: The time-independent Hellmann-Feynman formula was generalized into a time-dependent Hamiltonian system. A relation between the generalized Hellmann-Feynman formula and the Berry phase was found. A possible application of the generalized Hellmann-Feynman formula in the inverse quantum scattering problems is speculated.

Key words: Generalization, Hellmann-Feynman formula, Berry phase, quantum scattering

摘要： 将不含时间的Hellmann-Feynman公式推广到显含时间的体系，找到了Berry相因子与推广的Hellmann-Feynman公式的关系，并探索了推广的Hellmann-Feynman公式在散射的逆问题中应用的可能性。

关键词: 推广, Hellmann-Feynman公式, Berry相因子, 量子散射