Siyu Gao

collaborators

2 papers

math.SP2025

Discrete Spectrum of the Bilayer Graphene Operator

Siyu Gao, Oleg Safronov

We consider the graphene operator $D_{m}$ perturbed by a decaying potential $α V$ , where $α$ is a coupling constant. We study the number $N (λ, α)$ of eigenvalues of the operator $D(t)=…

math.SP2025

Eigenvalues of the discrete Schrödinger operator in the large coupling constant limit

Siyu Gao

Let $(λ_{-}, λ_{+})$ be a spectral gap of a periodic Schrödinger operator $A$ on the lattice $Z^{d}$ . Consider the operator $A (α) = A - α V$ where $V$ is a decaying positive potentia…