- #1

lagrangman

- 13

- 2

I was playing with the Schrodinger equation and realized that it can be interpreted as a flow equation.

If we set $$ \psi = A e^{i \theta} $$

We can put the Schrodinger in the form ∂ψ∂t=(−∇ψ)⋅v+iEψ

If v=ℏθm and E=ℏ2m(−∇2AA+∇2θ)+ρV

I find this intuitive personally as it shows that the wavefunction flows. Is there any book that mentions this?

If we set $$ \psi = A e^{i \theta} $$

We can put the Schrodinger in the form ∂ψ∂t=(−∇ψ)⋅v+iEψ

If v=ℏθm and E=ℏ2m(−∇2AA+∇2θ)+ρV

I find this intuitive personally as it shows that the wavefunction flows. Is there any book that mentions this?

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