dorsal/arxiv
View SchemaAlgebraic Models: Coordinates, Scales, and Dynamical Symmetries
| Authors | Michael W. N. Ibrahim |
|---|---|
| Categories | |
| ArXiv ID | physics/0005037 |
| URL | https://arxiv.org/abs/physics/0005037 |
Abstract
We discuss the variety of coordinates often used to characterize the coherent state classical limit of an algebraic model. We show selection of appropriate coordinates naturally motivates a procedure to generate a single particle Schr\"odinger hamiltonian which, for low energy states, gives equivalent results to a bosonic algebraic model to leading order in $N$. The process is used to study the associated geometries of the dynamical symmetries of U(3). By demanding that the inner product be preserved in the Schr\"odinger picture we conclude that different dynamical symmetries correspond to different scales.
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"abstract": "We discuss the variety of coordinates often used to characterize the coherent\nstate classical limit of an algebraic model. We show selection of appropriate\ncoordinates naturally motivates a procedure to generate a single particle\nSchr\\\"odinger hamiltonian which, for low energy states, gives equivalent\nresults to a bosonic algebraic model to leading order in $N$. The process is\nused to study the associated geometries of the dynamical symmetries of U(3). By\ndemanding that the inner product be preserved in the Schr\\\"odinger picture we\nconclude that different dynamical symmetries correspond to different scales.",
"arxiv_id": "physics/0005037",
"authors": [
"Michael W. N. Ibrahim"
],
"categories": [
"physics.chem-ph",
"nucl-th",
"physics.gen-ph"
],
"title": "Algebraic Models: Coordinates, Scales, and Dynamical Symmetries",
"url": "https://arxiv.org/abs/physics/0005037"
},
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"type": "Model",
"variant": "snapshot-2026-03-01",
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