dorsal/arxiv
View SchemaSolutions of the Logarithmic Schrodinger Equation in a Rotating Harmonic Trap
| Authors | Iwo Bialynicki-Birula, Tomasz Sowinski |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0310195 |
| URL | https://arxiv.org/abs/quant-ph/0310195 |
Abstract
We study the influence of the nonlinearity in the Schrodinger equation on the motion of quantum particles in a harmonic trap. In order to obtain exact analytic solutions, we have chosen the logarithmic nonlinearity. The unexpected result of our study is the existence in the presence of nonlinearity of two or even three coexisting Gaussian solutions.
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"abstract": "We study the influence of the nonlinearity in the Schrodinger equation on the\nmotion of quantum particles in a harmonic trap. In order to obtain exact\nanalytic solutions, we have chosen the logarithmic nonlinearity. The unexpected\nresult of our study is the existence in the presence of nonlinearity of two or\neven three coexisting Gaussian solutions.",
"arxiv_id": "quant-ph/0310195",
"authors": [
"Iwo Bialynicki-Birula",
"Tomasz Sowinski"
],
"categories": [
"quant-ph"
],
"title": "Solutions of the Logarithmic Schrodinger Equation in a Rotating Harmonic Trap",
"url": "https://arxiv.org/abs/quant-ph/0310195"
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