AUTHOR=Erman Fatih , Gadella Manuel , Uncu Haydar 

TITLE=The Propagators for δ and δ′ Potentials With Time-Dependent Strengths

JOURNAL=Frontiers in Physics

VOLUME=8

YEAR=2020

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2020.00065

DOI=10.3389/fphy.2020.00065

ISSN=2296-424X

ABSTRACT=<p>We study the time-dependent Schrödinger equation with finite number of Dirac δ and δ′ potentials with time dependent strengths in one dimension. We obtain the formal solution for generic time dependent strengths and then we study the particular cases for single delta potential and limiting cases for finitely many delta potentials. Finally, we investigate the solution of time dependent Schrödinger equation for δ′ potential with particular forms of the strengths.</p>