EPR-Bell-Schrödinger proof of nonlocality using position and momentum

Jean Bricmont, Sheldon Goldstein, Douglas Hemmick

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

Based on his extension of the classical argument of Einstein, Podolsky and Rosen, Schrödinger observed that, in certain quantum states associated with pairs of particles that can be far away from one another, the result of the measurement of an observable associated with one particle is perfectly correlated with the result of the measurement of another observable associated with the other particle. Combining this with the assumption of locality and some “no hidden variables” theorems, we showed in a previous paper[11] that this yields a contradiction. This means that the assumption of locality is false, and thus provides us with another demonstration of quantum nonlocality that does not involve Bell’s (or any other) inequalities. In[11] we introduced only “spin-like” observables acting on finite dimensional Hilbert spaces. Here we will give a similar argument using the variables originally used by Einstein, Podolsky and Rosen, namely position and momentum.

Original languageEnglish (US)
Title of host publicationFundamental Theories of Physics
PublisherSpringer Science and Business Media Deutschland GmbH
Pages5-33
Number of pages29
DOIs
StatePublished - 2021

Publication series

NameFundamental Theories of Physics
Volume198
ISSN (Print)0168-1222
ISSN (Electronic)2365-6425

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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