Nonlocality in Quantum Physics

1. Front Matter

   Pages i-x

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2. Introduction

   • Andrey Anatoljevich Grib, Waldyr Alves Rodrigues Jr.

   Pages 1-5

3. Fundamentals

   • Andrey Anatoljevich Grib, Waldyr Alves Rodrigues Jr.

   Pages 7-28

4. How Ψ Collapses

   • Andrey Anatoljevich Grib, Waldyr Alves Rodrigues Jr.

   Pages 29-33

5. Bell’s Inequalities

   • Andrey Anatoljevich Grib, Waldyr Alves Rodrigues Jr.

   Pages 35-42

6. Copenhagen Interpretation

   • Andrey Anatoljevich Grib, Waldyr Alves Rodrigues Jr.

   Pages 43-57

7. Many Worlds Interpretation(MWI)

   • Andrey Anatoljevich Grib, Waldyr Alves Rodrigues Jr.

   Pages 59-65

8. Quantum Logic (QL)

   • Andrey Anatoljevich Grib, Waldyr Alves Rodrigues Jr.

   Pages 67-81

9. Macroscopic Realizations of QL

   • Andrey Anatoljevich Grib, Waldyr Alves Rodrigues Jr.

   Pages 83-96

10. Hidden Variables Theories (HVT)

    • Andrey Anatoljevich Grib, Waldyr Alves Rodrigues Jr.

    Pages 97-114

11. De Broglie-Bohm Non Relativistic HVT

    • Andrey Anatoljevich Grib, Waldyr Alves Rodrigues Jr.

    Pages 115-122

12. De Broglie-Bohm Relativistic HVT

    • Andrey Anatoljevich Grib, Waldyr Alves Rodrigues Jr.

    Pages 123-131

13. Statistical Interpretation

    • Andrey Anatoljevich Grib, Waldyr Alves Rodrigues Jr.

    Pages 133-141

14. Non-Unitary Evolution?

    • Andrey Anatoljevich Grib, Waldyr Alves Rodrigues Jr.

    Pages 143-149

15. Histories Approach

    • Andrey Anatoljevich Grib, Waldyr Alves Rodrigues Jr.

    Pages 151-157

16. Quantum Miracles and Cryptography

    • Andrey Anatoljevich Grib, Waldyr Alves Rodrigues Jr.

    Pages 159-180

17. Where Are We Now?

    • Andrey Anatoljevich Grib, Waldyr Alves Rodrigues Jr.

    Pages 181-185

18. Back Matter

    Pages 187-225

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The nonlocality phenomena exhibited by entangled quantum systems are certainly one of the most extraordinary aspects of quantum theory. This book discusses this phe­ nomenon according to several points of view, i.e., according to different interpretations of the mathematics of the quantum formalism. The several interpretations of the Copenhagen interpretation, the many worlds, the de Broglie-Bohm, quantum logics, the decohering by the environment approach and the histories approach interpretations are scrutinized and criticized in detail. Recent results on cryptography, quantum bit commitment, quantum erasers and teleportation are also presented and discussed. In preparing the book we benefited from discussions with many people, but we would like, in particular, to express our gratitude to Professor B. d'Espagnat for his useful comments and suggestions. We are grateful also to Ms. L. Gentry EI-Dash for the English revision, to Dr. 1. E. Maiorino for the production of the figures and a careful reading of the manuscript, and for the statI of Plenum for advice and for having produced a nice book. Finally, the authors thank FAPESP (contract no. I 99612657-0) for a grant making this book possible. A. A. ORIB AND W. A. RODRIGUES, JR.

• Dirac equation
• Interpretation
• Potential
• coherence
• decoherence
• environment
• evolution
• iron
• mathematics
• physics
• quantum physics
• quantum theory
• tensor

• State University of Economics and Finances of St. Petersburg, St. Petersburg, Russia

  Andrey Anatoljevich Grib

• State University of Campinas and Salesian University, Campinas, Brazil

  Waldyr Alves Rodrigues

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