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PreprintCC BY 4.0arXiv

Partially isophase electro-magnetic configurations

  • Andrey M. Pupasov-Maksimov
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Abstract

Separation of variables in Schrödinger equation allows an infinite-dimensional family of physically distinct field configurations that are dynamically indistinguishable in one selected sector, labeled by a conserved quantum number, while differing in all others. We call such a symmetry a partial isophase symmetry. Two main examples are considered: axially symmetric magnetic backgrounds (a rigid spectral flow of the Fock--Darwin oscillator, purely magnetic isophase families, and a two-channel extension) and a Cartesian slab geometry (magnetic barriers in two-dimensional electron gases, treated in the Appendices). We further discuss the consequences of this symmetry for the inverse spectral problem and consider its quasiclassical counterpart.

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Cite

BibTeXRIS
BibTeX
@misc{pupasovmaksimov2026partially,
  title = {{Partially isophase electro-magnetic configurations}},
  author = {Andrey M. Pupasov-Maksimov},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.23645},
  eprint = {2610.23645},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.23645},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Partially isophase electro-magnetic configurations
AU  - Andrey M. Pupasov-Maksimov
PY  - 2026
DA  - 2026/10/16
PB  - arXiv
DO  - 10.48550/arxiv.2610.23645
UR  - https://arxiv.org/abs/2610.23645
AB  - Separation of variables in Schrödinger equation allows an infinite-dimensional family of physically distinct field configurations that are dynamically indistinguishable in one selected sector, labeled by a conserved quantum number, while differing in all others. We call such a symmetry a partial isophase symmetry. Two main examples are considered: axially symmetric magnetic backgrounds (a rigid spectral flow of the Fock--Darwin oscillator, purely magnetic isophase families, and a two-channel extension) and a Cartesian slab geometry (magnetic barriers in two-dimensional electron gases, treated in the Appendices). We further discuss the consequences of this symmetry for the inverse spectral problem and consider its quasiclassical counterpart.
ER  -