Schrodinger-Poisson system: Difference between revisions

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The Schrodinger-Poisson system

iv_{t}^{+}+\Delta v/2=uv^{+}\,

iv_{t}^{-}-\Delta v/2=uv^{-}\,

\Delta u=-|v^{+}|^{2}+|v^{-}|^{2}\,

@@ Line 1: / Line 1: @@
+{{stub}}
 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:Equations]]