The Rigged Hilbert Space of the Free Hamiltonian
arXiv:quant-ph/0210167 · doi:10.1023/B:IJTP.0000005968.76452.6b
Abstract
We explicitly construct the Rigged Hilbert Space (RHS) of the free Hamiltonian . The construction of the RHS of provides yet another opportunity to see that when continuous spectrum is present, the solutions of the Schrodinger equation lie in a RHS rather than just in a Hilbert space.
18 pages. Invited, refereed contribution to the Jaca proceedings; v2: minor, cosmetic changes