Schrödinger equation with singular position dependent mass
Michael Ruzhansky
Ghent University, Belgium; Queen Mary University of London, United KingdomMohammed Elamine Sebih
Mustapha Stambouli University of Mascara, AlgeriaNiyaz Tokmagambetov
CRM, Edifici C, Bellaterra (Barcelona), Spain; Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
![Schrödinger equation with singular position dependent mass cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-zaa-volume-42-issue-1.png&w=3840&q=90)
Abstract
We consider the Schrödinger equation with singular position dependent effective mass and prove that it is very weakly well posed. A uniqueness result is proved in an appropriate sense; moreover, we prove the consistency with the classical theory. In particular, this allows one to consider -like or more singular masses.
Cite this article
Michael Ruzhansky, Mohammed Elamine Sebih, Niyaz Tokmagambetov, Schrödinger equation with singular position dependent mass. Z. Anal. Anwend. 42 (2023), no. 1/2, pp. 131–144
DOI 10.4171/ZAA/1725