Normalized solutions for the Klein-Gordon-Dirac system (Q6060937)
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scientific article; zbMATH DE number 7761233
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Normalized solutions for the Klein-Gordon-Dirac system |
scientific article; zbMATH DE number 7761233 |
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Normalized solutions for the Klein-Gordon-Dirac system (English)
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6 November 2023
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Summary: We prove the existence of a stationary solution for the system describing the interaction between an electron coupled with a massless scalar field (a photon). We find a solution, with fixed \(L^2\)-norm, by variational methods, as a critical point of an energy functional.
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Klein-Gordon-Dirac
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critical point theory
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min-max methods
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nonlinear eigenvalue
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