Abstract
We have provided an alternative method to solve the time-dependent Schrödinger equation for a moving delta function potential with a time-varying strength. We have employed the Galilean transformation to get the equation corresponding to a static delta potential with a time-varying strength. We apply the Feynman's operator technique along with the Green's function method to solve the equation. One of the observation is if a particle initially in the non eigenstate, can posses eigen state after encountered by a attractive potential well in the same initial location. By applying our proposed method, we have derived the analytical time domain solution for a constant and time inversely decaying strength of a uniformly moving well. We observed that the particle is unlikely to be found in the moving well for this decaying strength at large times unlike the previously observed in the case of constant strength.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
