dorsal/arxiv
View SchemaAnalytic Representation of Finite Quantum Systems
| Authors | S. Zhang, A. Vourdas |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0504014 |
| URL | https://arxiv.org/abs/quant-ph/0504014 |
| DOI | 10.1088/0305-4470/37/34/011 |
| Journal | J. Phys. A: Math. Gen. 37 (2004) 8349-8363 |
Abstract
A transform between functions in R and functions in Zd is used to define the analogue of number and coherent states in the context of finite d-dimensional quantum systems. The coherent states are used to define an analytic representation in terms of theta functions. All states are represented by entire functions with growth of order 2, which have exactly d zeros in each cell. The analytic function of a state is constructed from its zeros. Results about the completeness of finite sets of coherent states within a cell are derived.
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"abstract": "A transform between functions in R and functions in Zd is used to define the\nanalogue of number and coherent states in the context of finite d-dimensional\nquantum systems. The coherent states are used to define an analytic\nrepresentation in terms of theta functions. All states are represented by\nentire functions with growth of order 2, which have exactly d zeros in each\ncell. The analytic function of a state is constructed from its zeros. Results\nabout the completeness of finite sets of coherent states within a cell are\nderived.",
"arxiv_id": "quant-ph/0504014",
"authors": [
"S. Zhang",
"A. Vourdas"
],
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"quant-ph"
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"doi": "10.1088/0305-4470/37/34/011",
"journal_ref": "J. Phys. A: Math. Gen. 37 (2004) 8349-8363",
"title": "Analytic Representation of Finite Quantum Systems",
"url": "https://arxiv.org/abs/quant-ph/0504014"
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