dorsal/arxiv
View SchemaSome thoughts on an information-theoretic motivated nonlinear Schrodinger equation
| Authors | Rajesh R. Parwani |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0612059 |
| URL | https://arxiv.org/abs/quant-ph/0612059 |
Abstract
I begin by reviewing the arguments leading to a nonlinear generalisation of Schrodinger's equation within the context of the maximum uncertainty principle. Some exact and perturbative properties of that equation are then summarised: those results depend on a free regulating/interpolation parameter $\eta$. I discuss here how one may fix that parameter using energetics. Other issues discussed are, a linear theory with an external potential that reproduces some unusual exact solutions of the nonlinear equation, and possible symmetry enhancements in the nonlinear theory.
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"abstract": "I begin by reviewing the arguments leading to a nonlinear generalisation of\nSchrodinger\u0027s equation within the context of the maximum uncertainty principle.\nSome exact and perturbative properties of that equation are then summarised:\nthose results depend on a free regulating/interpolation parameter $\\eta$. I\ndiscuss here how one may fix that parameter using energetics. Other issues\ndiscussed are, a linear theory with an external potential that reproduces some\nunusual exact solutions of the nonlinear equation, and possible symmetry\nenhancements in the nonlinear theory.",
"arxiv_id": "quant-ph/0612059",
"authors": [
"Rajesh R. Parwani"
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"categories": [
"quant-ph",
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"nlin.PS"
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"title": "Some thoughts on an information-theoretic motivated nonlinear Schrodinger equation",
"url": "https://arxiv.org/abs/quant-ph/0612059"
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