Recent content by Pierre Parent

To my mind everything works, snulty's just adding normalization (multiplying by a constant in order to keep ∫|ψ(x,0)|²dx=1). Bobak Hashemi's just presenting the discrete version of this operator. Anyways I think my assumption on first post is correct, I will keep researching and I may write a...

According to that post: https://physics.stackexchange.com/questions/267839/projection-operators-in-quantum-mechanics It seems the linear operator in such a measurement simply is P: Ψ→1[0,1]*Ψ They say If the result is "yes", the position wave collapses to 1[0,1]*ψ, otherwise it collapses to...

>As a reasonable idealization, sure, I have no problem with this. I should have precised that the effect I wanted to study in the first post, is a potential theoretical effect deriving from quantum physics, not necessarily something we can do in practice. >The measurement will change the wave...

Hi, Thanks a lot for your reply and your time. I'm not sure to follow you, are saying that we should replace [0,1] by ]0,1[ everywhere? Do we agree, about the feasibility (at least theoretical) of making a measurement like in the video above; that is making a quantum measurement that measures...

The state after the first measurement (that determines the particle is in [0,1]), i.e this initial states, would be as I said Ψ(x,0)=1[0,1]*a*e(i*b*(x-0.5)) ∀x∈ℝ . (This time expressed with the indicator function (1[0,1]), a is chosen so that ∫|Ψ(x,0)|²dx=1). This first measurement determines...

@PeteDonis After measuring that the particle is in [0,1] the wave vanishes outside of [0,1] by Wave function collapse right? So you may consider that a first measurment occurs at time t=0 and provoke that vanishing outside of [0,1] To visualize what I'm saying in both this post and the first...

Thanks for the reply. Sorry I meant symmetric around 0.5. For example you can take the initial state in the form Ψ(x,0)=a*e^(i*b*(x-0.5)) on [0,1] . Ok I will try to go further with the math (it's been a long time I did no get deeply into quantum physics math), but I thought it was intuitive...

Hi, I've had an idea I would like feed-back. Let's imagine a particle on an x axis. On it's initial state it is localized in segment [0,1] as a purely symmetric wave. The quantum Zeno effects tells us that if we measure wether the particle is still in [0,1] n times during one second, the...