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Quantization,topology,and ordering

  • S. Twareque Ali
  • H. D. Doebner
E. Symplectic Geometry and Quantization
Part of the Lecture Notes in Physics book series (LNP, volume 278)

Keywords

Configuration Space Reproduce Kernel Hilbert Space Topological Physic Differentiable Structure Torsion Part 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    B. Angermann, H.-D. Doebner and J. Tolar, Lecture Notes in Math. 1037, 171–208 (1984).CrossRefGoogle Scholar
  2. 2.
    H.-D. Doebner, Czech. J. Phys. (1987), in press.Google Scholar
  3. 3.
    J.M Jauch, Foundations of Quantum Mechanics, Addison-Wesley, Reading, Mass. (1968).MATHGoogle Scholar
  4. 4.
    S.T. Ali and H.-D. Doebner ='The ordering problem in quantum mechanics: Prime quantization and a physical interpretation’ to appear.Google Scholar
  5. 5.
    H.-D. Doebner and U.-A. Gehringer, in preparationGoogle Scholar
  6. 6.
    G.W. Mackey, Induced Representations of Groups and Quantum Mechanics, Benjamin, New York (1968).MATHGoogle Scholar
  7. 7.
    B. Angermann, Ph.D. dissertation, Clausthal (1983).Google Scholar
  8. 8.
    See, e.g., B. Kostant, Lecture Notes in Math. 170, 87–208 (1970).CrossRefGoogle Scholar
  9. 9.
    G.A. Goldin, R. Menikoff and D.H. Sharp, Phys. Rev. Lett. 51, 2246–49 (1983)ADSMathSciNetCrossRefGoogle Scholar
  10. 10.
    S.T. Ali, Rivista del Nuovo Cim. 8, 1–128 (1985)CrossRefGoogle Scholar
  11. 11.
    H.-D. Doebner and G.A. Goldin, preprintGoogle Scholar
  12. 12.
    E. Fadell, L. Neuwirth, Math. Scand. 10, 111–118 (1962)CrossRefGoogle Scholar
  13. 13.
    G.A. Goldin and D.H. Sharp, Commun. Math. Phys. 92, 217–228 (1983).ADSCrossRefGoogle Scholar
  14. 14.
    S. Sakai, C *-Algebras and W *-Algebras, Springer, Berlin (1971).MATHGoogle Scholar
  15. 15.
    S.T. Ali, J. Math. Phys. to appearGoogle Scholar
  16. 16.
    S.T. Ali and E. Prugovečki, Acta Appl. Math. 6, 1–18 (1986); 6, 19-45(1986) and 6, 47-62 (1986).MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • S. Twareque Ali
    • 1
  • H. D. Doebner
    • 2
  1. 1.Department of MathematicsConcordia University MontréalCanada
  2. 2.Arnold Sommerfeld Institut für Mathematische PhysikTechnische Universität ClausthalClausthalFRG

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