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PreprintarXiv licencearXiv

Bound states of Schrödinger-Poisson system in electromagnetic fields

  • Pingkang Guan
  • Baihong Li
  • Dimitri Mugnai
  • Yuanhong Wei
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Abstract

This paper investigates the Schrödinger-Poisson system involving electromagnetic fields. Our approach is mainly based on the variational method. By developing the global compactness result, we establish the existence of higher-energy bound state and ground state solutions under suitable assumptions. In addition, under symmetry conditions, the existence and multiplicity of intertwining solutions are obtained for both finite and infinite symmetry group.

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Cite

BibTeXRIS
BibTeX
@misc{guan2026bound,
  title = {{Bound states of Schrödinger-Poisson system in electromagnetic fields}},
  author = {Pingkang Guan and Baihong Li and Dimitri Mugnai and Yuanhong Wei},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.30110},
  eprint = {2609.30110},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.30110},
}
RIS
TY  - UNPB
TI  - Bound states of Schrödinger-Poisson system in electromagnetic fields
AU  - Pingkang Guan
AU  - Baihong Li
AU  - Dimitri Mugnai
AU  - Yuanhong Wei
PY  - 2026
DA  - 2026/09/24
PB  - arXiv
DO  - 10.48550/arxiv.2609.30110
UR  - https://arxiv.org/abs/2609.30110
AB  - This paper investigates the Schrödinger-Poisson system involving electromagnetic fields. Our approach is mainly based on the variational method. By developing the global compactness result, we establish the existence of higher-energy bound state and ground state solutions under suitable assumptions. In addition, under symmetry conditions, the existence and multiplicity of intertwining solutions are obtained for both finite and infinite symmetry group.
ER  -