The Concept of Probability

1. Front Matter

   Pages i-ix

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2. Following Schrödinger’s Thoughts

   1. Front Matter

      Pages 1-1

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   2. Letter from Schrödinger to Einstein, 18 November 1950

      • E. I. Bitsakis, C. A. Nicolaides

      Pages 3-4

   3. Schrödinger’s Thoughts on Perfect Knowledge

      • Włodzisław Duch

      Pages 5-14

   4. Concerning SchrÖdinger’s Question: Is Democritus or Planck the Founder of Quantum Theory?

      • Hans-Jürgen Treder>

      Pages 15-20

   5. SchrÖdinger’s Reception of Greek Atomism

      • Renate Wahsner

      Pages 21-27

3. Probability and Quantum Mechanics

   1. Front Matter

      Pages 29-29

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   2. Probability Theory in Quantum Mechanics

      • Leslie E. Ballentine

      Pages 31-42

   3. Measurements and Amplitudes

      • Stanley Gudder

      Pages 43-50

   4. Representations of Quantum Logics and Transition Probability Spaces

      • Sylvia Pulmannova

      Pages 51-59

   5. Probability in Quantum Mechanics

      • G. T. Rüttimann

      Pages 61-68

4. Aspects of the arguments on nonlocality, Bell’s theorem and EPR correlations

   1. Front Matter

      Pages 69-69

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   2. Bell’s Theorem: A Counterexample that Agrees with the Quantum Formalism

      • Thomas D. Angelidis

      Pages 71-90

   3. Quantum Probability and Quantum Potential Approach to Quantum Mechanics

      • Anastasios Kyprianidis

      Pages 91-103

   4. Time and Enhancement: Two Possible Local Explanations for the EPR Puzzle

      • S. Pascazio

      Pages 105-114

   5. On Bell-Type Inequalities in Quantum Logics

      • Jarosław Pykacz

      Pages 115-120

   6. Physical Meaning of the Performed Experiments Concerning the EPR Paradox

      • F. Selleri

      Pages 121-132

   7. Comments on the “Uncontrollable” Character of Non-Locality

      • J. P. Vigier

      Pages 133-140

5. Real or Gedanken Experiments and their Interpretation

   1. Front Matter

      Pages 141-141

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   2. Some Basic Differences Between the Copenhagen and de Broglie Interpretation of Quantum Mechanics Leading to Practical Experiments

      • J. R. Croca

      Pages 143-158

This volume contains articles from invited speakers at a meeting which took place in Delphi, during the week of October 12-16, 1987. The theme of the meeting was ''The concept of probability" and was organized by the "Group of Interdisciplinary Research" (Physics Department, University of Athens) and the Theoretical and Physical Chemistry Institute of the National Hellenic Research Foundation, Athens. (The Group ofInterdisciplinary Research organized two previous Meetings, 1) on the Concept of physical reality (1982) and 2) on the question of determinism in Physics (1984». This small gathering, which was attended by scientists, mathematicians and philosophers from more than 22 countries, took place on the occasion of the 100th year from the birthday of E.Schrodinger. As the father of wave-mechanics, Schrodinger thrushed us into an era of physics where knowledge of the lV-function is considered, for most situations, as the ultimate aim and the ultimate truth. Yet, he, as well as another towering figure of 20th century physics, A.Einstein, never really felt confortable with the interpretation of the meaning oflV and of the information that it contains. With Einstein playing the leading role a debate about concepts and interpretation started as soon as quantum mechanics was born. Central theme to this debate is the concept of probability, a concept which permeates-explicitly or implicitly-all science and even our decision making in everyday life. The articles cover a broad spectrum of thought and results -mathematical, physical, epistemological, experimental, specific, general,-many of them outside the accepted norm.

• EPR paradox
• Karl R. Popper
• Probability distribution
• Probability space
• Probability theory
• correlation
• probability
• quantum mechanics
• reduction

• University of Ioannina, Greece

  E. I. Bitsakis

• National Hellenic Research Foundation and National Technical University, Athens, Greece

  C. A. Nicolaides

Policies and ethics