- #1
kof9595995
- 679
- 2
Consider we initially have a ground state particle of a harmonic oscillator:
[tex]\psi = \exp ( - a{x^2})[/tex] (neglecting nomalization)
And we have a detector far in space monitoring the local probability of finding a particle. Now if we suddenly turn off the harmonic potential, the wavefunction will evolve as free particle, and
[tex]\Psi (x,t) = \frac{{\exp (\frac{{ - a{x^2}}}{{1 + 2iat/m}})}}{{\sqrt {1 + 2iat/m} }}[/tex].
We see no matter how far the detector is, the local probability will start to change immediately after we turn off the potential. So will the detector record a change in number of particles detected? If so, it seems there's a superluminal signal transmitted since the detector could be very far from the origin .
[tex]\psi = \exp ( - a{x^2})[/tex] (neglecting nomalization)
And we have a detector far in space monitoring the local probability of finding a particle. Now if we suddenly turn off the harmonic potential, the wavefunction will evolve as free particle, and
[tex]\Psi (x,t) = \frac{{\exp (\frac{{ - a{x^2}}}{{1 + 2iat/m}})}}{{\sqrt {1 + 2iat/m} }}[/tex].
We see no matter how far the detector is, the local probability will start to change immediately after we turn off the potential. So will the detector record a change in number of particles detected? If so, it seems there's a superluminal signal transmitted since the detector could be very far from the origin .