Abstract
Evolution equations associated with the Schrödinger equation are derived for an arbitrary time-dependent potential. It is shown that the eigenvalues evolve according to the Hellmann–Feynman theorem, while the eigenfunction evolution can be determined either by solving a system of coupled differential equations or by a contour integration in the complex k-domain. A possible application to solving a class of Schrödinger spectral problems is also discussed.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have