dorsal/arxiv
View SchemaGeneralized Binomial States: Ladder Operator Approach
| Authors | Hong-Chen Fu, Ryu Sasaki |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9607012 |
| URL | https://arxiv.org/abs/quant-ph/9607012 |
| DOI | 10.1088/0305-4470/29/17/034 |
| Journal | J.Phys.A29:5637-5644,1996 |
Abstract
We show that the binomial states (BS) of Stoler {\it et al.} admit the ladder and displacement operator formalism. By generalizing the ladder operator formalism we propose an eigenvalue equation which possesses the number and the squeezed states as its limiting solutions. The explicit forms of the solutions, to be referred to as the {\it generalized binomial states} (GBS), are given. Corresponding to the wide range of the eigenvalue spectrum these GBS have as widely different properties. Their limits to number and {\it squeezed} states are investigated in detail. The time evolution of BS is obtained as a special case of the approach.
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"abstract": "We show that the binomial states (BS) of Stoler {\\it et al.} admit the ladder\nand displacement operator formalism. By generalizing the ladder operator\nformalism we propose an eigenvalue equation which possesses the number and the\nsqueezed states as its limiting solutions. The explicit forms of the solutions,\nto be referred to as the {\\it generalized binomial states} (GBS), are given.\nCorresponding to the wide range of the eigenvalue spectrum these GBS have as\nwidely different properties. Their limits to number and {\\it squeezed} states\nare investigated in detail. The time evolution of BS is obtained as a special\ncase of the approach.",
"arxiv_id": "quant-ph/9607012",
"authors": [
"Hong-Chen Fu",
"Ryu Sasaki"
],
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"quant-ph"
],
"doi": "10.1088/0305-4470/29/17/034",
"journal_ref": "J.Phys.A29:5637-5644,1996",
"title": "Generalized Binomial States: Ladder Operator Approach",
"url": "https://arxiv.org/abs/quant-ph/9607012"
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