Particle Momentum and Position Calculation in Heisenberg Picture

[eljose]

Let,s suppose we have a particle moving under a potential V:
By Heisenberg picture we know that:

\frac{dx}{dt}=p/m

so if we knew x(t) and x(t+h) we could calculate the expresion:

x(t+\epsilon)-x(t)=p\epsilon/m

so knowing x(t) and x(t+e) we could calculate the momentum of the particle:

 

[seratend]

Let,s suppose we have a particle moving under a potential V:
By Heisenberg picture we know that:

\frac{dx}{dt}=p/m

so if we knew x(t) and x(t+h) we could calculate the expresion:

x(t+\epsilon)-x(t)=p\epsilon/m

so knowing x(t) and x(t+e) we could calculate the momentum of the particle:

Please do not mix the differential equation between operators and eigenvalues. They are completely different.


Seratend.