0210167v2

related topics
{equation, function, exp}
{operator, operators, space}
{let, theorem, proof}
{observables, space, algebra}
{group, space, representation}
{field, particle, equation}
{cos, sin, state}

The Rigged Hilbert Space of the Free Hamiltonian

R. de la Madrid

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

oai_identifier:
oai:arXiv.org:quant-ph/0210167
categories:
quant-ph hep-th math-ph math.MP
comments:
18 pages. Invited, refereed contribution to the Jaca proceedings; v2: minor, cosmetic changes
doi:
10.1023/B:IJTP.0000005968.76452.6b
arxiv_id:
quant-ph/0210167
journal_ref:
Int. J. Theor. Phys. 42 (2003) 2441-2460
created:
2002-10-24
updated:
2004-05-31

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