The Rigged Hilbert Space of the Free Hamiltonian
Quantum Physics
2009-11-07 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
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.
Cite
@article{arxiv.quant-ph/0210167,
title = {The Rigged Hilbert Space of the Free Hamiltonian},
author = {R. de la Madrid},
journal= {arXiv preprint arXiv:quant-ph/0210167},
year = {2009}
}
Comments
18 pages. Invited, refereed contribution to the Jaca proceedings; v2: minor, cosmetic changes