dorsal/arxiv
View SchemaTime operator for a quantum many-body system with SU(1,1) dynamical symmetry
| Authors | I. Andric, M. Martinis |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0302116 |
| URL | https://arxiv.org/abs/quant-ph/0302116 |
Abstract
The time operator canonically conjugated to the Hamiltonian of $N$ interacting particles on the line is constructed using SU(1,1) as a dynamical symmetry. This hidden conformal symmetry enables us to make a group theoretic analysis of the time operator in terms of SU(1,1) generators. At distances very far from the interacting region the time operator is represented as a generalization of the quantum "time-of-arrival" operator.
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"abstract": "The time operator canonically conjugated to the Hamiltonian of $N$\ninteracting particles on the line is constructed using SU(1,1) as a dynamical\nsymmetry. This hidden conformal symmetry enables us to make a group theoretic\nanalysis of the time operator in terms of SU(1,1) generators. At distances very\nfar from the interacting region the time operator is represented as a\ngeneralization of the quantum \"time-of-arrival\" operator.",
"arxiv_id": "quant-ph/0302116",
"authors": [
"I. Andric",
"M. Martinis"
],
"categories": [
"quant-ph"
],
"title": "Time operator for a quantum many-body system with SU(1,1) dynamical symmetry",
"url": "https://arxiv.org/abs/quant-ph/0302116"
},
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