Schr?dinger equation with singular position dependent mass

Michael Ruzhansky,Mohammed Elamine Sebih,Niyaz Tokmagambetov

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN（2023）

Cited 0|Views2

No score

Abstract

We consider the Schrodinger 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.

Translated text

Key words

Schrodinger equation,Cauchy problem,weak solution,position dependent effective mass,singular mass,regularisation

AI Read Science

Must-Reading Tree

Example

Generate MRT to find the research sequence of this paper

Chat Paper

Summary is being generated by the instructions you defined