- #1

pellman

- 684

- 5

Ok.

Given the Schrodinger equation

[tex]\{ -\frac{1}{2m}\frac{\partial^2}{\partial x^2}-Fx\}\Psi=i \frac{\partial\Psi}{\partial t} [/tex]

how about

[tex]\Psi\propto exp\{i[(k+Ft)x-\frac{k^2 t}{2m}-\frac{kFt^2}{2m}-\frac{F^2t^3}{6m}]\}[/tex]

where k is arbitrary?

Why isn't this well known? I spent some time digging through quantum texts in a science library and found only the barest mention of it, just a quick reference in a chapter exercise.

Seems like since it is so very simple it should get mentioned. I presume that it is because it is uninteresting. But why?