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2 votes
0 answers
96 views

Relativistic Schrödinger Equation: How is it relativistic and can it be useful? [duplicate]

As is well known, the usual Schrödinger equation, $$\mathrm{i}\hbar\frac{\partial}{\partial t}\psi=-\frac{\hbar^2}{2m}\Delta\psi+V\psi,$$ is not relativistic. It can be derived formally by applying ...
Caesar.tcl's user avatar
0 votes
2 answers
130 views

Can a non-local theory be consistent with special relativity?

If there was a non-local theory that explained quantum entanglement correlations, does it follow that it would violate special relativity?
Hume's user avatar
  • 1
1 vote
2 answers
162 views

How is the non-locality of a theory apparent from its mathematical form?

I am reading Relativistic Quantum Mechanics by Bjorken and Drell and on page 5 they present the following attempt at a relativistic Hamiltonian for a free particle \begin{equation} i\hbar\frac{\...
NeonGabu's user avatar
  • 229
3 votes
1 answer
107 views

Nonlocality of a bug on movie screen

I am currently learning quantum mechanics using Griffiths. In the appendix, he goes to talk about EPR and Bell's inequality, and that experimental verification of Bell's inequality rejects the "...
Davidson Cheng's user avatar
4 votes
2 answers
290 views

Why is quantum non-locality so surprising when quantum mechanics is a non-relativistic theory to begin with?

Ignore the fact that Quantum Field Theory (QFT) is compatible with Special Relativity (SR) for a second. Imagine we are back in a time before the construction of QFT. If Quantum Mechanics (QM) is the ...
Relatively General's user avatar
2 votes
1 answer
254 views

Non-locality of pre-Klein-Gordon equation

In Relativistic Quantum Mechanics, Bjorken and Drell state that expanding the square root in the equation $$-\hbar^2\frac{\partial^2\psi}{\partial t^2}=\sqrt{-\hbar^2c^2\boldsymbol{\nabla}^2+m^2c^4}\...
Rindler98's user avatar
  • 492
2 votes
0 answers
249 views

Amplitude for a string to propagate from one point to another

In Zwiebach’s book sections 12.6 and 12.7 interesting aspects of the wave function of the string are discussed. In order to introduce my question first recall what happens with the relativistic ...
Anthonny's user avatar
  • 1,714
2 votes
1 answer
151 views

Is macroscopic causality an issue in the context of certain quantum experiments?

In order to formulate my question properly I need to explain a few things. Cramer_Herbert Zych_Brukner Reference 1. - John Cramer, Nick Herbert, "An Inquiry into the Possibility of Nonlocal ...
Cristian Dumitrescu's user avatar
10 votes
2 answers
2k views

What's wrong with the square root version of the Klein-Gordon equation?

The Wikipedia article has a derivation of the Klein-Gordon equation. It gets to this step: $$\sqrt{\textbf{p}^2 c^2 + m^2 c^4} = E$$ and inserts the QM operators to get $$\left( \sqrt{ (-i \hbar \...
Nick's user avatar
  • 2,979
4 votes
6 answers
677 views

Local EPR-experiments with photons in vacuum?

The principle of non-locality states "that an object is influenced directly only by its immediate surroundings." (Wikipedia) When two entangled particles are measured in an EPR experiment, we ...
Moonraker's user avatar
  • 3,155