R. de la Madrid
The Rigged Hilbert Space of the Free Hamiltonian
(53K, Latex)
ABSTRACT. We explicitly construct the Rigged Hilbert Space (RHS) of the free
Hamiltonian $H_0$. The construction of the RHS of $H_0$ provides yet
another opportunity to see that when continuous spectrum is present,
the solutions of the Schr\"odinger equation lie in a RHS rather than
just in a Hilbert space.