Self-adjoint, globally defined Hamiltonian operators for systems with boundaries

Nuno Costa Dias, Andrea Posilicano, Joao Nuno Prata

For a general self-adjoint Hamiltonian operator $H_0$ on the Hilbert space $L^2(\RE^d)$, we determine the set of all self-adjoint Hamiltonians $H$ on $L^2(\RE^d)$ that dynamically…