dorsal/arxiv
View SchemaDynamical Symmetry Approach to Periodic Hamiltonians
| Authors | Hui Li, Dimitri Kusnezov |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9912007 |
| URL | https://arxiv.org/abs/solv-int/9912007 |
| DOI | 10.1063/1.533265 |
Abstract
We show that dynamical symmetry methods can be applied to Hamiltonians with periodic potentials. We construct dynamical symmetry Hamiltonians for the Scarf potential and its extensions using representations of su(1,1) and so(2,2). Energy bands and gaps are readily understood in terms of representation theory. We compute the transfer matrices and dispersion relations for these systems, and find that the complementary series plays a central role as well as non-unitary representations.
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"abstract": "We show that dynamical symmetry methods can be applied to Hamiltonians with\nperiodic potentials. We construct dynamical symmetry Hamiltonians for the Scarf\npotential and its extensions using representations of su(1,1) and so(2,2).\nEnergy bands and gaps are readily understood in terms of representation theory.\nWe compute the transfer matrices and dispersion relations for these systems,\nand find that the complementary series plays a central role as well as\nnon-unitary representations.",
"arxiv_id": "solv-int/9912007",
"authors": [
"Hui Li",
"Dimitri Kusnezov"
],
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"doi": "10.1063/1.533265",
"title": "Dynamical Symmetry Approach to Periodic Hamiltonians",
"url": "https://arxiv.org/abs/solv-int/9912007"
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