arXiv subjects
Publications and source records attributed to D. E. Zambrano.
We describe the behaviour of semiclassical electrodynamics under gauge transformations. For this purpose we observe the structure of Schrödinger equation and matricial elements under these transformations. We conclude this theory is not gauge invariant. As a consequence of this fact, we obtain a possible loss of predictability of physical results.
We studied two possible approaches to one-dimensional Levinson's theorem for Schödinger equation. The first one, we restrict the 3-dimensional theorem. The other one, the theorem proposed by Dong, Ma and Klauss \cite{Dong}. We find failures in each approach for a one-dimensional reflectionless potential. In order to see this, we explicitly evaluate the phase shift using Schrödinger equation using solution procedure proposed by Jaffe \cite{Jaffe}.