dorsal/arxiv
View SchemaPerturbative Calculation of the Adiabatic Geometric Phase and Particle in a Well with Moving Walls
| Authors | Ali Mostafazadeh |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9910104 |
| URL | https://arxiv.org/abs/quant-ph/9910104 |
| DOI | 10.1088/0305-4470/32/47/311 |
| Journal | J.Phys.A32:8325-8340,1999 |
Abstract
We use the Rayleigh-Schr\"odinger perturbation theory to calculate the corrections to the adiabatic geometric phase due to a perturbation of the Hamiltonian. We show that these corrections are at least of second order in the perturbation parameter. As an application of our general results we address the problem of the adiabatic geometric phase for a one-dimensional particle which is confined to an infinite square well with moving walls.
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"abstract": "We use the Rayleigh-Schr\\\"odinger perturbation theory to calculate the\ncorrections to the adiabatic geometric phase due to a perturbation of the\nHamiltonian. We show that these corrections are at least of second order in the\nperturbation parameter. As an application of our general results we address the\nproblem of the adiabatic geometric phase for a one-dimensional particle which\nis confined to an infinite square well with moving walls.",
"arxiv_id": "quant-ph/9910104",
"authors": [
"Ali Mostafazadeh"
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"doi": "10.1088/0305-4470/32/47/311",
"journal_ref": "J.Phys.A32:8325-8340,1999",
"title": "Perturbative Calculation of the Adiabatic Geometric Phase and Particle in a Well with Moving Walls",
"url": "https://arxiv.org/abs/quant-ph/9910104"
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