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math-ph2022★ 7 cited
Essential self-adjointness for the Klein-Gordon type operators on asymptotically static spacetime
Shu Nakamura, Kouichi Taira
Let be the spacetime, where is a closed manifold equipped with a Riemannian metric , and we consider a symmetric Klein-Gordon type operator on …
math-ph2022★ 9 cited
A remark on the essential self-adjointness for Klein-Gordon type operators
Shu Nakamura, Kouichi Taira
Here we discuss a new simplified proof of the essential self-adjointness for formally self-adjoint differential operators of real principal type, previously proved by Vasy (2020) a…
math-ph2022★ 9 cited
Continuum limit of the lattice quantum graph Hamiltonian
Pavel Exner, Shu Nakamura, Yukihide Tadano
We consider the quantum graph Hamiltonian on the square lattice in Euclidean space, and we show that the spectrum of the Hamiltonian converges to the corresponding Schrödinger oper…