JournalszaaVol. 42, No. 1/2pp. 131–144

Schrödinger equation with singular position dependent mass

  • Michael Ruzhansky

    Ghent University, Belgium; Queen Mary University of London, United Kingdom

  • Mohammed Elamine Sebih

    Mustapha Stambouli University of Mascara, Algeria

  • Niyaz Tokmagambetov

    CRM, Edifici C, Bellaterra (Barcelona), Spain; Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
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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