On semiclassical state of a nonlinear Dirac equation (Q2866546)
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scientific article; zbMATH DE number 6238369
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On semiclassical state of a nonlinear Dirac equation |
scientific article; zbMATH DE number 6238369 |
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13 December 2013
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On semiclassical state of a nonlinear Dirac equation (English)
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The authors consider (time-independent) nonlinear Dirac equations, which model the state of relativistic electrons (or other spin 1 particles) in an external field, and with self-coupling.NEWLINENEWLINEThe following three cases are considered: {\parindent=6mm \begin{itemize} \item{} The case of a scalar potential in the form of a potential well \item {} A more general matrix potential \item {} The case for the presence of a magnetic field NEWLINENEWLINE\end{itemize}} In all three cases, the theorem states that the considered nonlinear Dirac equations have at least one least energy solution. The remainder of the paper focuses on proofs of these three theorems.
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