dorsal/arxiv
View SchemaEigensolutions of the kicked Harper model
| Authors | G. A. Kells |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0511108 |
| URL | https://arxiv.org/abs/quant-ph/0511108 |
Abstract
The time-evolution operator for the kicked Harper model is reduced to block matrix form when the effective Planck's constant hbar = 2 pi M/N and M and N are integers. Each block matrix is spanned by an orthonormal set of N "kq" (quasi-position/quasi-momentum) functions. This implies that the system's eigenfunctions or stationary states are necessarily discrete and periodic. The reduction allows, for the first time, an examination of the 2-dimensional structure of the system's quasi-energy spectrum and the study of, with unprecedented accuracy, the system's stationary states.
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"date_created": "2026-03-02T18:02:20.690000Z",
"date_modified": "2026-03-02T18:02:20.690000Z",
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"abstract": "The time-evolution operator for the kicked Harper model is reduced to block\nmatrix form when the effective Planck\u0027s constant hbar = 2 pi M/N and M and N\nare integers. Each block matrix is spanned by an orthonormal set of N \"kq\"\n(quasi-position/quasi-momentum) functions. This implies that the system\u0027s\neigenfunctions or stationary states are necessarily discrete and periodic. The\nreduction allows, for the first time, an examination of the 2-dimensional\nstructure of the system\u0027s quasi-energy spectrum and the study of, with\nunprecedented accuracy, the system\u0027s stationary states.",
"arxiv_id": "quant-ph/0511108",
"authors": [
"G. A. Kells"
],
"categories": [
"quant-ph"
],
"title": "Eigensolutions of the kicked Harper model",
"url": "https://arxiv.org/abs/quant-ph/0511108"
},
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"variant": "snapshot-2026-03-01",
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