let,s suppose Bohmian mechanics was true then we would have trajectories in the form:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]m\frac{d^{2}x}{dt^2}=-\nabla(V+U_{b}) [/tex] (1) [tex]U_{b}=-\frac{\hbar^2}{2m}\nabla^{2}\psi [/tex] being psi the solution to schroedinguer equation...but the trajectories in (1) comes from the Hamiltonian..

[tex]H=H_0+U_b [/tex] with this we could form the new Schroedinguer equation with function [tex]\psi_{1}(x)[/tex],with new trajectories.....proceeding this infinite times we would have that the real trajectories..(after quantizying infinite times) are:

[tex]m\frac{d^{2}x}{dt^2}=-\nabla(V+U_{total}) [/tex]

with U total [tex]U_{total}=-\frac{\hbar^2}{2m}\nabla(\sum_{n=0}^{\infty}\psi_{n}(x)) [/tex]

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Quantization over quantization

**Physics Forums | Science Articles, Homework Help, Discussion**