TY - CHAP

T1 - EPR-Bell-Schrödinger proof of nonlocality using position and momentum

AU - Bricmont, Jean

AU - Goldstein, Sheldon

AU - Hemmick, Douglas

N1 - Publisher Copyright:
© Springer Nature Switzerland AG 2021.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2021

Y1 - 2021

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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U2 - 10.1007/978-3-030-46777-7_2

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

M3 - Chapter

AN - SCOPUS:85092017083

T3 - Fundamental Theories of Physics

SP - 5

EP - 33

BT - Fundamental Theories of Physics

PB - Springer Science and Business Media Deutschland GmbH

ER -