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arXiv · 2302.10194

Schrödinger equation with singular position dependent mass

Michael Ruzhansky·Mohammed Elamine Sebih·Niyaz Tokmagambetov
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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 Delta-like or more singular masses.

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Michael Ruzhansky, Mohammed Elamine Sebih, Niyaz Tokmagambetov. 2023-02-18. Schrödinger equation with singular position dependent mass. https://arxiv.org/abs/2302.10194

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