Skip to main content
SpringerLink
Log in

The Many Problems with Quantum Mechanics from the Earliest Days on and How the Theory of Quantum Mechanics on Phase Space Addresses Them

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

We review the problems with quantum mechanics by translating or interpreting leading specialists in the field. Then we obtain a theory called quantum mechanics on phase space which is immune to these problems. Finally, we see how these problems are addressed by quantum mechanics on phase space.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Schrödinger, E.: Abhandlung zur Wellenmechanik, J. A. Barth, Leipzig (1927)

    Google Scholar 

  2. Weyl, H.: Gruppentheorie und Quantenmechanik. Verlag von S. Hirzel, Leipzig (1928)

    MATH  Google Scholar 

  3. Heisenberg, W: The Principles of the Quantum Theory. University of Chicago Press (1930)

  4. Dirac, P. A. M.: The Principles of Quantum Mechanics. Oxford University Press (1930)

  5. Wigner, E. P.: Gruppentheorie und ihre Anwendung auf die Quantenmechanik der Atomspektrum. Friedr. Vieweg, Braunschweig (1931)

    Book  Google Scholar 

  6. von Neumann, J.: Grundlagen der Quantenmechanik (1932)

  7. Yukawa, H.: Prog. of Theor. Phys. II, 209–215 (1947). and Lett. to the Editor, op. cit. III, (1948), 205–206

    Article  MathSciNet  ADS  Google Scholar 

  8. Yukawa, H.: Prog. Theor. Phys. III, 452–453 (1948). Phys. Rev. 76 (1949) [Lett. to the Editor], 1731; Phys. Rev. 77 (1950), 219–226

    Article  ADS  Google Scholar 

  9. Bloch, C.: Prog. Theor. Phys. 5, 606–613 (1950)

    Article  MathSciNet  ADS  Google Scholar 

  10. Mackey, G. W.: Proc. Natl. Acad. Sci. U. S. 35, 537–545 (1949). Amer. J. Math. 73 (1951) 576–592; Ann. Math. 55 (1952), 101–139; Ann. Math. 58 (1953), 193–221; Acta Math. 99 (1958), 265–311

    Article  MathSciNet  ADS  MATH  Google Scholar 

  11. Ludwig, G: An Axiomatic Basis for Quantum Mechanics I and II. Springer-Verlag, New York (1985). Foundations of Quantum Mechanics I and II, Springer-Verlag, New York, 1983 and 1985

    Book  Google Scholar 

  12. Schroeck Jr, F. E.: Quantum Mechanics on Phase Space. Kluwer Academic Pubs., Dordrecht (1996)

    Book  Google Scholar 

  13. Beneduci, R., Brooke, J., Curran, R., Schroeck, F.: Int. J. Theor. Phys. 50, 3682–3696 (2011). and 50 (2011), 3697–3723

    Article  MathSciNet  MATH  Google Scholar 

  14. Schroeck Jr, F. E.: Found. Phys. 15, 279–302 (1985). n.b. 295–298

    Article  MathSciNet  ADS  Google Scholar 

  15. Schroeck Jr, F. E.: J. Phys. A: Math. Theor. 42, 155301 (1009)

  16. Schroeck Jr, F. E.: Int. J. Theor. Phys. 47, 175–184 (2008)

    Article  ADS  Google Scholar 

  17. Korf, L. A., Schroeck Jr, F. E.: A reduced informationally complete set in the C*-algebra generated by phase space fuzzy localization operators. Int. J. Theor. Phys., this issue

  18. Aerts, S., Aerts, D., Schroeck, F., Sachs, J: arXiv: http://arXiv.org/abs/cond-mat/0612010v1 (2006)

  19. Schroeck , F. E. Jr: Int. J. Theor. Phys. 49, 3586–3595 (2009)

    Article  MathSciNet  Google Scholar 

  20. Ali, G., Beneduci, R., Mascali, G., Schroeck , F. E. Jr, Slawianowski, J. J.: Int. J. Theor. Phys. (2013). 10.1007/s10773-013-1912-9

  21. Messamah, J., Schroeck Jr, F. E., Hachemane, M., Smida, A., Hamici, A. H.: Quantum Info. Process (2015). 10.1007/s11128-014-0914-8

Download references

Author information

Authors and Affiliations

  1. University of Denver, Denver, CO, USA

    Franklin E. Schroeck Jr.

  2. Florida Atlantic University, Boca Raton, FL, USA

    Franklin E. Schroeck Jr.

Authors
  1. Franklin E. Schroeck Jr.
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Franklin E. Schroeck Jr..

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Schroeck, F.E. The Many Problems with Quantum Mechanics from the Earliest Days on and How the Theory of Quantum Mechanics on Phase Space Addresses Them. Int J Theor Phys 54, 4458–4475 (2015). https://doi.org/10.1007/s10773-015-2637-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-015-2637-8

Keywords

Search

Navigation