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Quantum Mechanics and its Fundamental Issues

Abstract

The ‘new’ quantum theory of Heisenberg and Schrödinger was immediately seen to be extremely successful in practice. It could be used to predict energy levels for a considerable number of systems, and Schrödinger’s approach in particular was capable of describing many features of the atom, and predicting the results of a great variety of experiments. Yet it was also clear that there were many surprising and puzzling aspects to the theory, aspects that were certain to cause controversy.

Keywords

Quantum Mechanic Quantum Theory Mixed State Pure State Uncertainty Principle 
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References

  1. 1.
    Heisenberg W. (1927). Über den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik [The actual content of quantum mechanical kinematics and mechanics], Zeitschrift fur Physik 43, 172–98.CrossRefADSGoogle Scholar
  2. 2.
    Heisenberg W. (1930). The Physical Principles of the Quantum Theory. Chicago: University of Chicago Press, Ch. 2.MATHGoogle Scholar
  3. 3.
    Margenau H. (1936). Quantum mechanical description, Physical Review 49, 240–2.MATHCrossRefADSGoogle Scholar
  4. 4.
    Feller W. (1966). An Introduction to Probability Theory and its Applications. New York: Wiley, Vol. 2, p. 487.MATHGoogle Scholar
  5. 5.
    Gillespie D.T. (1983). A theorem for physicists in the theory of random variables, American Journal of Physics 51, 520–32.CrossRefADSGoogle Scholar
  6. 6.
    von Neumann J. (1955). Mathematische Grundlagen der Quantenmechanik. (Berlin: Springer, 1932); English translation: Mathematical Foundations of Quantum Mechanics, (Princeton: Princeton University Press, p. 307.MATHGoogle Scholar
  7. 7.
    Leggett A.J. (1984). Schrödinger cat and her laboratory cousins, Contemporary Physics 25, 583–98.CrossRefADSGoogle Scholar
  8. 8.
    Weinberg S. (1993). Dreams of a Final Theory. London: Vintage, p. 64.Google Scholar
  9. 9.
    Peres A. (1993). Quantum Theory-Concepts and Methods. Dordrecht: Kluwer, pp. 373–29.MATHGoogle Scholar
  10. 10.
    Home D. (1997). Conceptual Foundations of Quantum Physics: An Overview from Modern Perspectives. New York: Plenum, pp. 67–78.Google Scholar
  11. 11.
    d’Espagnat B. (1994). Veiled Reality: An Analysis of Present-Day Quantum Mechanical Concepts. Reading, Massachusetts: Addison-Wesley, pp. 138–85.Google Scholar
  12. 12.
    Bell J.S. (1987). Speakable and Unspeakable in Quantum Mechanics. Cambridge: Cambridge University Press, pp. 119–27.Google Scholar
  13. 13.
    Leggett AJ. (1987). Reflections on the quantum measurement problem, In: Quantum Implications: Essays in Honour of David Bohm. (Hiley B. J. and Peat D., (eds.)) London: Routledge & Kegan Paul, pp. 85–104.Google Scholar
  14. 14.
    Leggett AJ. (1986). Quantum mechanics at the macroscopic level, In: The Lesson of Quantum Theory (Niels Bohr Centenary Symposium), (de Boer J., Dal E. and Ulfbeck O., (eds.)) Amsterdam: Elsevier, pp. 35–7.Google Scholar
  15. 15.
    Schrödinger E. (1935). Discussion of probability relations between separated systems, Proceedings of the Cambridge Philosophical Society 31, 555–63.MATHCrossRefGoogle Scholar
  16. 16.
    Wigner E.P. (1963). The problem of measurement, American Journal of Physics 31, 6–15.MATHCrossRefADSMathSciNetGoogle Scholar
  17. 17.
    Born M. and Wolf O. (1980). Principles of Optics. Oxford: Pergamon Press, Ch. 3.Google Scholar
  18. 18.
    Bacry H. and Levy-Leblond J.M. (1968). Possible kinematics, Journal of Mathematical Physics 9, 1605–14.MATHCrossRefADSMathSciNetGoogle Scholar
  19. 19.
    Holland P. (1993). The Quantum Theory of Motion. Cambridge: Cambridge University Press, p. 222.Google Scholar
  20. 20.
    Kidd R., Ardin J. and Anton A. (1989). Evolution of the modern photon, American Journal of Physics 57, 27–35.CrossRefADSMathSciNetGoogle Scholar
  21. 21.
    Dirac P.A.M. (1958). The Principles of Quantum Mechanics. Oxford: Oxford University Press, pp. 7–10.MATHGoogle Scholar
  22. 22.
    Agarwal G.S. and Simon R. (1990). Berry phase, interference of light beams and the Hannay angle, Physical Review A 42, 6924–7.CrossRefADSMathSciNetGoogle Scholar
  23. 23.
    Sudarshan E.C.G. and Rothman T. (1991). The two-slit interferometer re-examined, American Journal of Physics 59, 592–5.CrossRefADSGoogle Scholar
  24. 24.
    Lamb WE. (1995). Anti-photon, Applied Physics B 60, 77–84.CrossRefGoogle Scholar

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