Schrödinger equation with singular position dependent mass
- Author
- Michael Ruzhansky (UGent) , Mohammed Elamine Sebih and Niyaz Tokmagambetov
- Organization
- Project
- 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.
- Keywords
- Ghent Analysis & PDE center, Schrodinger equation, Cauchy problem, weak solution, position dependent effective mass, singular mass, regularisation, SCHRODINGER TYPE EQUATIONS, WAVE-EQUATION, STRICHARTZ INEQUALITIES, CAUCHY-PROBLEM, PROPAGATION, DISPERSION, POTENTIALS
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-01HP4QA2E1YFDHT5BGMB8VGSFQ
- MLA
- Ruzhansky, Michael, et al. “Schrödinger Equation with Singular Position Dependent Mass.” ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, vol. 42, no. 1–2, 2023, pp. 131–44, doi:10.4171/ZAA/1725.
- APA
- Ruzhansky, M., Elamine Sebih, M., & Tokmagambetov, N. (2023). Schrödinger equation with singular position dependent mass. ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 42(1–2), 131–144. https://doi.org/10.4171/ZAA/1725
- Chicago author-date
- Ruzhansky, Michael, Mohammed Elamine Sebih, and Niyaz Tokmagambetov. 2023. “Schrödinger Equation with Singular Position Dependent Mass.” ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN 42 (1–2): 131–44. https://doi.org/10.4171/ZAA/1725.
- Chicago author-date (all authors)
- Ruzhansky, Michael, Mohammed Elamine Sebih, and Niyaz Tokmagambetov. 2023. “Schrödinger Equation with Singular Position Dependent Mass.” ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN 42 (1–2): 131–144. doi:10.4171/ZAA/1725.
- Vancouver
- 1.Ruzhansky M, Elamine Sebih M, Tokmagambetov N. Schrödinger equation with singular position dependent mass. ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN. 2023;42(1–2):131–44.
- IEEE
- [1]M. Ruzhansky, M. Elamine Sebih, and N. Tokmagambetov, “Schrödinger equation with singular position dependent mass,” ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, vol. 42, no. 1–2, pp. 131–144, 2023.
@article{01HP4QA2E1YFDHT5BGMB8VGSFQ,
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.}},
author = {{Ruzhansky, Michael and Elamine Sebih, Mohammed and Tokmagambetov, Niyaz}},
issn = {{0232-2064}},
journal = {{ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN}},
keywords = {{Ghent Analysis & PDE center,Schrodinger equation,Cauchy problem,weak solution,position dependent effective mass,singular mass,regularisation,SCHRODINGER TYPE EQUATIONS,WAVE-EQUATION,STRICHARTZ INEQUALITIES,CAUCHY-PROBLEM,PROPAGATION,DISPERSION,POTENTIALS}},
language = {{eng}},
number = {{1-2}},
pages = {{131--144}},
title = {{Schrödinger equation with singular position dependent mass}},
url = {{http://doi.org/10.4171/ZAA/1725}},
volume = {{42}},
year = {{2023}},
}
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