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 $I^\pm V$ , where $I^\pm$ is a coupling constant. We study the number $N (I^», I^\pm)$ of eigenvalues of the operator $D…

math.SP2025

Eigenvalues of the discrete SchrÃ¶dinger operator in the large coupling constant limit

Siyu Gao

Let $(I^»_{-}, I^»_{+})$ be a spectral gap of a periodic SchrÃ¶dinger operator $A$ on the lattice $Z^{d}$ . Consider the operator $A (I^\pm) = A - I^\pm V$ where $V$ is a decaying positive pot…