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Do you mean wave packet solutions? The Schrodinger equation is linear, so I don't think it can have solitons.
by thisrod 6y ago
Do you mean wave packet solutions? The Schrodinger equation is linear, so I don't think it can have solitons.
- ur-whale 6y ago>The Schrodinger equation is linear Is it though? Or have we just found a linear approximation to actual reality? Also, the other day, I read in another HN thread that there are situations (Bose Einstein condensates) where the potential may depend on Psi thus making the equation non-linear (since the potential multiplies Psi).
- gus_massa 6y agoThe Schrodinger equation is linear, but the extension to Quantum Field Theory is not linear https://en.wikipedia.org/wiki/Quantum_field_theory https://en.wikipedia.org/wiki/Quantum_field_theory so actual reality is even more weird.
- dls2016 6y agoBesides being a joke, I was a dispersive PDE guy and so have a perverted idea of what the Schroedinger equation is. It’s common in that field to study a nonlinear variant. A u|u|^2 term, for instance, admits sech type solutions.