Mathematics of locality and nonlocality in quantum mechanics

[Flatland]

Can someone explain the mathamatics behind locality and nonlocality?

 

[dextercioby]

In what context...?You should have specified that.

Daniel.

 

[Flatland]

In what context...?You should have specified that.

Daniel.

I didn't know there were different context to it.

 

[dextercioby]

In QFT,the locality is assured by a finite polynomial type of a Lagrangian density.For example,the density for the scalar field:

$$\mathcal{L}(\varphi,\partial^{\mu}\varphi)=\exp [(\partial^{\mu}\varphi)(\partial_{\mu}\varphi)+\phi^{2}]$$

is said to break locality...

Daniel.

 

[Flatland]

ummm...huh?

 

[dextercioby]

What do you mean...?

Daniel.

 

[Flatland]

Ok explain to me what velocity means to a nonlocalized tachyon

 

[dextercioby]

What do you mean?"nonlocalized" ...does it refer to HUP...?Yes,in agreement with HUP,as the uncertainty in velocity/momentum goes to infinity,basically any particle could be tachyonic...

Daniel.