|
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
Full article ▸
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