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Quantum Mechanics as a Simple Generalization of Classical Mechanics

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Abstract

A motivation is given for expressing classical mechanics in terms of diagonal projection matrices and diagonal density matrices. Then quantum mechanics is seen to be a simple generalization in which one replaces the diagonal real matrices with suitable Hermitian matrices.

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References

  1. Zeilinger, A.: Why the quantum? It from bit? A participatory universe? Three far-reaching, visionary questions from John Archibald Wheeler and how they inspired a quantum experimentalist. Lecture at “Science & Ultimate Reality: Celebrating the Vision of John Archibald Wheeler and Taking It Forward into a New Century of Discovery.” Princeton, New Jersey, March 15, 2002

  2. Hardy, L.: How come quantum theory? Lecture at “Science & Ultimate Reality: Celebrating the Vision of John Archibald Wheeler and Taking It Forward into a New Century of Discovery.” Princeton, New Jersey, March 16, 2002. Cf. Quantum theory from five reasonable axioms, quant-ph/0101012

  3. Page, D.N.: Sensible quantum mechanics: are only perceptions probabilistic? quant-ph/9506010

  4. Page, D.N.: Sensible quantum mechanics: are probabilities only in the mind? Int. J. Mod. Phys. D 5, 583–596 (1996). gr-qc/9507024

    Article  MathSciNet  ADS  Google Scholar 

  5. Page, D.N.: Mindless sensationalism: a quantum framework for consciousness. In: Smith, Q., Jokic, A. (eds.) Consciousness: New Philosophical Essays. Oxford University Press, London (2003). quant-ph/0108039

    Google Scholar 

  6. Davies, E.B.: Quantum Theory of Open Systems. Academic Press, San Diego (1976)

    MATH  Google Scholar 

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Authors and Affiliations

  1. Theoretical Physics Institute, Department of Physics, University of Alberta, Room 238 CEB, 11322–89 Avenue, Edmonton, Alberta, Canada, T6G 2G7

    Don N. Page

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  1. Don N. Page
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Correspondence to Don N. Page.

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Alberta-Thy-06-02, quant-ph/0204015.

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Page, D.N. Quantum Mechanics as a Simple Generalization of Classical Mechanics. Found Phys 39, 1197 (2009). https://doi.org/10.1007/s10701-009-9324-7

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  • DOI: https://doi.org/10.1007/s10701-009-9324-7

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