On the Spectrum Discreteness for the Magnetic Schrödinger Operator on Quantum Graphs

DOI10.5666/KMJ.2021.61.2.249zbMath1483.81076OpenAlexW3192207153MaRDI QIDQ3384206

Anna G. Belolipetskaia, Igor Yu. Popov

Publication date: 15 December 2021

Full work available at URL: http://www.koreascience.or.kr:80/article/JAKO202121055517971.pdf

zbMATH Keywords

magnetic fieldspectrumquantum graph

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Linear symmetric and selfadjoint operators (unbounded) (47B25) Electro- and magnetostatics (78A30) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Cites Work

• On Molchanov's condition for the spectrum discreteness of a quantum graph Hamiltonian with \(\delta\)-coupling
• Magnetic Schrödinger operators on periodic discrete graphs
• Bound states of the magnetic Schrödinger operator
• Magnetic-sparseness and Schrödinger operators on graphs
• Spectral analysis of a class of Schrödinger operators exhibiting a parameter-dependent spectral transition
• Leaky Quantum Graphs: A Review
• Stable determination of coefficients in the dynamical Schrödinger equation in a magnetic field
• Schrödinger operators with locally integrable potentials on infinite metric graphs
• Discreteness of spectrum for Schrödinger operators with δʹ-type conditions on infinite regular trees
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