dorsal/arxiv
View SchemaThe Rigged Hilbert Space of the Free Hamiltonian
| Authors | R. de la Madrid |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0210167 |
| URL | https://arxiv.org/abs/quant-ph/0210167 |
| DOI | 10.1023/B:IJTP.0000005968.76452.6b |
| Journal | Int. J. Theor. Phys. 42 (2003) 2441-2460 |
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.
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"abstract": "We explicitly construct the Rigged Hilbert Space (RHS) of the free\nHamiltonian $H_0$. The construction of the RHS of $H_0$ provides yet another\nopportunity to see that when continuous spectrum is present, the solutions of\nthe Schrodinger equation lie in a RHS rather than just in a Hilbert space.",
"arxiv_id": "quant-ph/0210167",
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"R. de la Madrid"
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"doi": "10.1023/B:IJTP.0000005968.76452.6b",
"journal_ref": "Int. J. Theor. Phys. 42 (2003) 2441-2460",
"title": "The Rigged Hilbert Space of the Free Hamiltonian",
"url": "https://arxiv.org/abs/quant-ph/0210167"
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