Review of the Quantum-Mechanical Measurement Problem

To review the quantum-mechanical measurement problem, a very old subject, in less than an hour is not an easy task, particularly since I want to add in the last part of my discussion some new ideas. In this first section I shall briefly describe some background from quantum mechanics, although the paper will not be self-contained. But first let me say in a few words why there is a problem, why physicists are all puzzled by some rather obvious facts.

[1]  J. Bell On the Einstein-Podolsky-Rosen paradox , 1964 .

[2]  John Archibald Wheeler,et al.  On the Mathematical Description of Light Nuclei by the Method of Resonating Group Structure , 1937 .

[3]  M. Pryce The mass-centre in the restricted theory of relativity and its connexion with the quantum theory of elementary particles , 1948, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[4]  J. Neumann Mathematische grundlagen der Quantenmechanik , 1935 .

[5]  W. Heisenberg A quantum-theoretical reinterpretation of kinematic and mechanical relations , 1925 .

[6]  D. Bohm A SUGGESTED INTERPRETATION OF THE QUANTUM THEORY IN TERMS OF "HIDDEN" VARIABLES. II , 1952 .

[7]  Eugene P. Wigner,et al.  Localized States for Elementary Systems , 1949 .

[8]  Jeffrey Bub,et al.  A Proposed Solution of the Measurement Problem in Quantum Mechanics by a Hidden Variable Theory , 1966 .

[9]  H. Zeh On the interpretation of measurement in quantum theory , 1970 .

[10]  Robert L. Weber,et al.  The scientist speculates , 1962 .

[11]  Erwin Schrödinger,et al.  Quantisierung als Eigenwertproblem , 1925 .

[12]  G. C. Hegerfeldt Remark on causality and particle localization , 1974 .

[13]  E. Wigner Die Messung quantenmechanischer Operatoren , 1952 .

[14]  R. Morrow,et al.  Foundations of Quantum Mechanics , 1968 .

[15]  M. Jammer The philosophy of quantum mechanics , 1974 .

[16]  E. Wigner,et al.  Quantum Limitations of the Measurement of Space-Time Distances , 1958 .

[17]  H. Araki,et al.  Measurement of Quantum Mechanical Operators , 1960 .