Bell's theorem and quantum realism : reassessment in light of the Schrodinger paradox / Douglas L. Hemmick, Adif M. Shakur.

Format:

Book

Contributor:

Hemmick, Douglas L.

Shakur, Adif M.

Series:

SpringerBriefs in physics.

SpringerBriefs in physics, 2191-5423

Language:

English

Subjects (All):

Bell's theorem.

Quantum theory.

Physical Description:

1 online resource (103 p.)

Edition:

1st ed. 2012.

Place of Publication:

Heidelberg : Springer, c2012.

Language Note:

English

Summary:

Quantum theory presents a strange picture of the world, offering no real account of physical properties apart from observation. Neils Bohr felt that this reflected a core truth of nature: "There is no quantum world. There is only an abstract mathematical description." Among the most significant developments since Bohr’s day has been the theorem of John S. Bell. It is important to consider whether Bell’s analysis supports such a denial of microrealism. In this book, we evaluate the situation in terms of an early work of Erwin Schrödinger. Doing so, we see how Bell’s theorem is conceptually related to the Conway and Kochen Free Will theorem and also to all the major anti-realism efforts. It is easy to show that none of these analyses imply the impossibility of objective realism. We find that Schrödinger’s work leads to the derivation of a new series of theoretical proofs and potential experiments, each involving “entanglement,” the link between particles in some quantum systems. .

Contents:

Bell's Theorem and Quantum Realism; Acknowledgments; Contents; 1 Introduction; 1.1 Quantum Realism and Bell's Theorem; 1.1.1 Opening Remarks; 1.1.2 David Bohm's Theory of Hidden Variables; 1.2 Topics to be Covered; 1.3 Review of the Formalism of Quantum Mechanics; 1.3.1 The State and its Evolution; 1.3.2 Rules of Measurement; 1.4 Von Neumann's Theorem and Hidden Variables; 1.4.1 Introduction; 1.4.2 Von Neumann's Theorem; 1.4.3 Von Neumann's Impossibility Proof; 1.4.4 Refutation of the Impossibility Proof; 1.4.5 Summary and Further Remarks; 1.4.6 Schrödinger's Derivation of Von Neumann's Proof

References2 Contextuality; 2.1 Gleason's Theorem; 2.2 Kochen and Specker's Theorem; 2.3 Contextuality and Gleason's, and Kochen and Specker's Impossibility Proofs; 2.3.1 Procedure to Measure the Kochen and Specker Observables; 2.4 Contextuality Theorems and Spectral Incompatibility; 2.5 Albert's Example and Contextuality; 2.5.1 Bohmian Mechanics and Albert's Example; References; 3 The Einstein

Podolsky

Rosen Paradox, Bell's Theorem and Nonlocality; 3.1 Introductory Comments; 3.2 Review of the Einstein

Rosen Paradox

3.2.1 Rotational Invariance of the Spin Singlet State and Perfect Correlations3.2.2 The EPR Incompleteness Argument and Objective Realism; 3.2.3 The Einstein

Rosen Theorem; 3.3 Bell's Theorem; 3.3.1 Proof of Bell's Theorem; 3.4 Einstein

Rosen, Bell's Theorem, and Nonlocality; 3.4.1 Complex Arguments; 3.4.2 Conjunction of EPR Analysis with Bell's Theorem; 3.4.3 The `No-Superdeterminism' Assumption; 3.5 Summary; References; 4 Schrödinger's Paradox and Nonlocality; 4.1 Introduction; 4.2 Schrödinger's Generalization of EPR; 4.2.1 The Einstein

Rosen Quantum State

4.2.2 Schrödinger's Generalization and Maximal Perfect Correlations4.3 Schrödinger's Paradox, and Incompleteness; 4.3.1 Perfect Correlations and Procedure of Measurement; 4.3.2 Schrödinger's Theorem; 4.4 EPR Quantum State and Other Maximally Entangled States; 4.4.1 Generalized Form of the EPR State; 4.4.2 The General Form of a Maximally Entangled State; 4.4.3 Maximally Entangled State with Two Spin-1 Particles; 4.5 Schrödinger Nonlocality; 4.5.1 Schrödinger Paradox and Spectral Incompatibility Theorems; 4.5.2 What is Proven by the Conway

Kochen Free Will Theorem

4.6 Schrödinger's Paradox and Von Neumann's Theorem4.7 Summary and Conclusions; References

Notes:

Description based upon print version of record.

Includes bibliographical references.

ISBN:

1-283-45180-8

9786613451804

3-642-23468-2

OCLC:

758950615