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

Jean Bricmont; Sheldon Goldstein; Douglas Hemmick

doi:10.1007/978-3-030-46777-7_2

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

Jean Bricmont
, Sheldon Goldstein
, Douglas Hemmick

School of Arts and Sciences, Mathematics

Rutgers, The State University

Research output: Chapter in Book/Report/Conference proceeding › Chapter

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 language	American English
Title of host publication	Fundamental Theories of Physics
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	5-33
Number of pages	29
DOIs	https://doi.org/10.1007/978-3-030-46777-7_2
State	Published - 2021

Publication series

Name	Fundamental Theories of Physics
Volume	198

ASJC Scopus subject areas

General Physics and Astronomy

Access to Document

10.1007/978-3-030-46777-7_2

Cite this

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title = "EPR-Bell-Schr{\"o}dinger proof of nonlocality using position and momentum",

abstract = "Based on his extension of the classical argument of Einstein, Podolsky and Rosen, Schr{\"o}dinger 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{\textquoteright}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.",

author = "Jean Bricmont and Sheldon Goldstein and Douglas Hemmick",

note = "Publisher Copyright: {\textcopyright} Springer Nature Switzerland AG 2021.",

year = "2021",

doi = "10.1007/978-3-030-46777-7\_2",

language = "American English",

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AU - Bricmont, Jean

AU - Goldstein, Sheldon

AU - Hemmick, Douglas

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N2 - 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.

AB - 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.

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M3 - Chapter

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BT - Fundamental Theories of Physics

PB - Springer Science and Business Media Deutschland GmbH

ER -

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

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