- 04-169 R. de la Madrid
- The Rigged Hilbert Space of the Free Hamiltonian
May 31, 04
(auto. generated ps),
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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.