gentzen's latest activity

Yes, of course. I guess what you didn't understand is that your ##|\alpha|^2S_x+|\beta|^2S_p## is missing those interference terms...

This is an observable. Your ##S_x## and ##S_p## were observables too. Maybe to clarify, we have ##\alpha=\cos(\theta)## and...

Suppose you start with the state ##|\psi_{\alpha,\beta}\rangle=\alpha |z+\rangle+\beta|z-\rangle##. Then there is a measurement that...

The state is entangled, but pines-demon tried to get rid of the continuous measurement outcomes, to be closer to typical Bell...

You mean, because they are not normalizable? But they are well defined in a suitable space of distributions, and one can form their...

$$(\alpha|x\rangle+\beta|p\rangle)(\alpha^*\langle x|+\beta^*\langle p|)=|\alpha|^2|x\rangle\langle x|+|\beta|^2|p\rangle\langle...

If you define it like this, then ##S_x## and ##S_p## are already matrices (or rather operators), basically ##S_x=\int_0^\infty dx\...

It just makes it easy for me to see that the state is not time invariant. With the signs of your state, I would have been a bit less...

Because the spin in the normal "measurements showing Bell's inequality violations" is constant in time. The position is not, which on...

Because starting with |p>|-p> corresponds to the EPR description of the experiment (the total momentum is zero). In principle, one...

It measures the spin of the particle in some specific direction, as it was initially before the bending of the beam. (I am still a bit...

If I have two entangled particles in "two beams" with known fixed direction, then I want to measure their spin, not the spin of two...

Now I understand what you wanted to say: The initial state ##|\psi\rangle## for the EPR experiment can be assumed to be ψ... I guess...

Maybe read what you wrote exactly, see whether it makes any sense to you. And then ask yourself, how anybody who wants to have a serious...

OK, what has this to do with my question, or with anything you wrote in your answer? Even in 1D, it makes an important difference...