2024/02/12 by Nathaniel Smith, Alim Sukhtayev, Smith, Nathaniel +1
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Mechanics and Applications #Quantum Information and Cryptography
paper · pdf · doi:10.48550/arxiv.2402.07409
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.