dorsal/arxiv
View SchemaOn the connection between the Schrodinger and the Heisenberg pictures for unbounded operators
| Authors | R. de la Madrid |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0509074 |
| URL | https://arxiv.org/abs/quant-ph/0509074 |
| Journal | Inst. Phys. Conf. Ser. No 185 (2005) 217-221 |
Abstract
It is well known that the unboundedness of operators in Hilbert space entails domain troubles. It is also well known that most domain troubles can be surmounted by extending the Hilbert space to a rigged Hilbert space. In this note, we point out another of such troubles, namely the correspondence between the Schrodinger and the Heisenberg pictures for unbounded operators, and sketch the solution of this problem within the rigged Hilbert space.
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"abstract": "It is well known that the unboundedness of operators in Hilbert space entails\ndomain troubles. It is also well known that most domain troubles can be\nsurmounted by extending the Hilbert space to a rigged Hilbert space. In this\nnote, we point out another of such troubles, namely the correspondence between\nthe Schrodinger and the Heisenberg pictures for unbounded operators, and sketch\nthe solution of this problem within the rigged Hilbert space.",
"arxiv_id": "quant-ph/0509074",
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"journal_ref": "Inst. Phys. Conf. Ser. No 185 (2005) 217-221",
"title": "On the connection between the Schrodinger and the Heisenberg pictures for unbounded operators",
"url": "https://arxiv.org/abs/quant-ph/0509074"
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