Schrödinger equation with singular position dependent mass (Q6060927)
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scientific article; zbMATH DE number 7761223
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Schrödinger equation with singular position dependent mass |
scientific article; zbMATH DE number 7761223 |
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Schrödinger equation with singular position dependent mass (English)
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6 November 2023
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Summary: 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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Schrödinger equation
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Cauchy problem
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weak solution
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position dependent effective mass
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singular mass
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regularisation
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