dorsal/arxiv
View SchemaLevel Set Method for Quantum Control of Dipole Moment
| Authors | Fariel Shafee |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0411182 |
| URL | https://arxiv.org/abs/quant-ph/0411182 |
Abstract
We investigate the level set method (LSM) in a specific quantum context; namely the dipole transition moment for a system with a nontrivial Morse potential. We draw equal moment sets in the two-dimensional space of two important parameters of the potential, namely the depth of the potential and its width. Another variable is introduced as a scale and we see "motions" of the level sets normal to the contours, as in classical contexts such as fluid dynamics or in epitaxial crystal growth. Presumably interpolating the level sets normally by smooth functions such as splines may give a fairly accurate method of combining the variables to keep the dipole moment invariant.
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"abstract": "We investigate the level set method (LSM) in a specific quantum context;\nnamely the dipole transition moment for a system with a nontrivial Morse\npotential. We draw equal moment sets in the two-dimensional space of two\nimportant parameters of the potential, namely the depth of the potential and\nits width. Another variable is introduced as a scale and we see \"motions\" of\nthe level sets normal to the contours, as in classical contexts such as fluid\ndynamics or in epitaxial crystal growth. Presumably interpolating the level\nsets normally by smooth functions such as splines may give a fairly accurate\nmethod of combining the variables to keep the dipole moment invariant.",
"arxiv_id": "quant-ph/0411182",
"authors": [
"Fariel Shafee"
],
"categories": [
"quant-ph"
],
"title": "Level Set Method for Quantum Control of Dipole Moment",
"url": "https://arxiv.org/abs/quant-ph/0411182"
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