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Some thoughts on an information-theoretic motivated nonlinear Schrodinger equation

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 نشر من قبل Rajesh R. Parwani
 تاريخ النشر 2006
  مجال البحث فيزياء
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 تأليف Rajesh R. Parwani




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I begin by reviewing the arguments leading to a nonlinear generalisation of Schrodingers 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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