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An infinite sequence of localized semiclassical states for nonlinear Maxwell-Dirac system

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Publication:6572144
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DOI10.1007/s12220-024-01724-4zbMath1543.35188MaRDI QIDQ6572144

Jian Zhang, Ying Zhang

Publication date: 15 July 2024

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)



zbMATH Keywords

nonlinear Maxwell-Dirac systemdegenerate potentiallocalized semiclassical statesunbounded sequence of bound states


Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Variational methods applied to PDEs (35A15) Existence of solutions for minimax problems (49J35) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Motion of charged particles (78A35) Time-dependent Schrödinger equations and Dirac equations (35Q41)








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