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A comment on Is the Schrödinger Equation True?. Parent comment

Re:Is the Schrödinger Equation True? by dls2016 on Monday January 11, 2021 @09:49PM (#25741640)
> it's a failure of our imagination or exertion that we can't find closed-form stable solutions

You better not say that when any solitons are floating by...

[ Parent | on HN ]
Re:Is the Schrödinger Equation True? by thisrod on Tuesday January 12, 2021 @02:33AM (#25743538)
Do you mean wave packet solutions? The Schrodinger equation is linear, so I don't think it can have solitons.
[ Parent | on HN ]
Re:Is the Schrödinger Equation True? by ur-whale on Tuesday January 12, 2021 @08:00AM (#25746211)
>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).

[ Parent | on HN ]
Re:Is the Schrödinger Equation True? by gus_massa on Tuesday January 12, 2021 @03:36PM (#25753196)
The Schrodinger equation is linear, but the extension to Quantum Field Theory is not linear https://en.wikipedia.org/wiki/Quantum_field_theory so actual reality is even more weird.
[ Parent | on HN ]
Re:Is the Schrödinger Equation True? by dls2016 on Tuesday January 12, 2021 @09:40AM (#25747449)
Besides 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.
[ Parent | on HN ]