Séminaire Maths-Physique

Topics on the continuum limits of discrete Schrödinger operators and discrete Dirac operators.

by Shu Nakamura (Gakushuin University)

Huron (106) (1R1)

Huron (106)



We discuss generalized norm resolvent convergence of discrete Schrödinger operators under several circumstances, including general (standard) lattices and the hexagonal lattice. We also discuss discrete Dirac operators, of which the definition itself is controversial. We explain several possible definitions and their continuum limits. These results are partially joint work with Y. Tadano (Tokyo Science University) and K. Mikami (Riken).