arXiv Open Access 2024

Splitting Quantum Graphs

Nathaniel Smith Alim Sukhtayev

Lihat Sumber

Abstrak

We derive a counting formula for the eigenvalues of Schrödinger operators with self-adjoint boundary conditions on quantum star graphs. More specifically, we develop techniques using Evans functions to reduce full quantum graph eigenvalue problems into smaller subgraph eigenvalue problems. These methods provide a simple way to calculate the spectra of operators with localized potentials.

Topik & Kata Kunci

math.SP

Penulis (2)

Nathaniel Smith

Alim Sukhtayev

Format Sitasi

APA MLA BibTeX

Smith, N., Sukhtayev, A. (2024). Splitting Quantum Graphs. https://arxiv.org/abs/2402.07409

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓