Work

Optimization of Quantum Graph Eigenvalues with Preferred Orientation Vertex Conditions

Year: 2025

Type: article

Abstract: We discuss Laplacian spectrum on a finite metric graph with vertex couplings violating the time-reversal invariance. For the class of star graphs, we determine, under the condition of a fixed total edge length, the configurations for which the ground state eigenvalue is maximized. Furthermore, for general finite metric graphs, we provide upper bounds for all eigenvalues.

Source: Annales Henri Poincaré

DOI: 10.1007/s00023-025-01574-y

Authors: Pavel Exner, Jonathan Rohleder

Institutions: Czech Academy of Sciences, Czech Technical University in Prague, Stockholm University

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funders: European Commission, Vetenskapsrådet, Stockholms Universitet, Horizon 2020 Framework Programme