The Rigged Hilbert Space of the Free Hamiltonian

Details The Rigged Hilbert Space of the Free Hamiltonian The Rigged Hilbert Space of the Free Hamiltonian

2002-10-24

arxiv.org/abs/quant-ph/0210167v2

Int. J. Theor. Phys. 42 (2003) 2441-2460

Physics

Quantum Physics

18 pages. Invited, refereed contribution to the Jaca proceedings; v2: minor, cosmetic changes

Scientific paper

10.1023/B:IJTP.0000005968.76452.

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 Schrodinger equation lie in a RHS rather than just in a Hilbert space.

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