Schrodinger-Poisson system: Difference between revisions

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The '''Schrodinger-Poisson system'''
The '''Schrodinger-Poisson system'''


<center><math>i v^+_t + \Delta v/2 = u v^+ </math></center>
<center><math>i v^+_t + \Delta v/2 = u v^+ \,</math></center>
<center><math>i v^-_t - \Delta v/2 = u v^- </math></center>
<center><math>i v^-_t - \Delta v/2 = u v^- \,</math></center>
<center><math>\Delta u = - |v^+|^2 + |v^-|^2</math></center>
<center><math>\Delta u = - |v^+|^2 + |v^-|^2\,</math></center>


arises as the [[non-relativistic limit]] of the [[NLKG|nonlinear Klein-Gordon equation]].
arises as the [[non-relativistic limit]] of the [[NLW|nonlinear Klein-Gordon equation]].


[[Category:Schrodinger]]
[[Category:Schrodinger]]
[[Category:Equations]]
[[Category:Equations]]

Latest revision as of 20:12, 11 June 2007


The Schrodinger-Poisson system

arises as the non-relativistic limit of the nonlinear Klein-Gordon equation.