dorsal/arxiv
View SchemaExpanding Hermitean Operators in a Basis of Projectors on Coherent Spin States
| Authors | Stefan Weigert |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9907101 |
| URL | https://arxiv.org/abs/quant-ph/9907101 |
| DOI | 10.1088/1464-4266/6/12/001 |
| Journal | J. Opt. B 56 (2004) 489 |
Abstract
The expectation values of a hermitean operator A in (2s+1)(2s+1) specific coherent states of a spin are known to determine the operator unambiguously. As shown here, (almost) any other (2s+1)(2s+1) coherent states also provide a basis for self-adjoint operators. This is proven by considering the determinant of the Gram matrix associated with the coherent state projectors as a Hamiltonian of a fictitious classical spin system.
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"abstract": "The expectation values of a hermitean operator A in (2s+1)(2s+1) specific\ncoherent states of a spin are known to determine the operator unambiguously. As\nshown here, (almost) any other (2s+1)(2s+1) coherent states also provide a\nbasis for self-adjoint operators. This is proven by considering the determinant\nof the Gram matrix associated with the coherent state projectors as a\nHamiltonian of a fictitious classical spin system.",
"arxiv_id": "quant-ph/9907101",
"authors": [
"Stefan Weigert"
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"doi": "10.1088/1464-4266/6/12/001",
"journal_ref": "J. Opt. B 56 (2004) 489",
"title": "Expanding Hermitean Operators in a Basis of Projectors on Coherent Spin States",
"url": "https://arxiv.org/abs/quant-ph/9907101"
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