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Are Coherent States the Natural Language of Quantum Theory?

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Fundamental Aspects of Quantum Theory

Part of the book series: NATO ASI Series ((NSSB,volume 144))

Abstract

In the view of the author the answer to the question posed in the title is yes. However, since this opinion is offered by one who is hardly unbiased, it is appropriate that some evidence for this viewpoint be offered. This is the purpose of the present article. Our proposal is to offer various fundamental aspects of quantum theory from the perspective of a coherent-state formulation. We hope this presentation will speak for itself and incline the reader, as well, toward a positive response.

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References

  1. See, e.g., J. R. Klauder and B.-S. Skagerstam, “Coherent States,” World Scientific, Singapore (1985).

    Google Scholar 

  2. T. T. Truong, Nuovo Cimento Lett. 9: 533 (1974)

    Article  Google Scholar 

  3. J. Math. Phys. 16:1034 (1975).

    Google Scholar 

  4. J. R. Klauder, J. Math. Phys. 8:2392 (1967).

    Article  ADS  Google Scholar 

  5. E. H. Lieb, Commun. Math. Phys. 31:327 (1973)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  6. F. A. Berezin, Commun. Math. Phys. 40:153 (1975).

    Google Scholar 

  7. I. M. Gel’fand and A. M. Yaglom, J. Math. Phys. 1:48 (1960)

    Article  ADS  MATH  Google Scholar 

  8. D. G. Babbitt, J. Math. Phys. 4:36 (1963).

    Article  MathSciNet  ADS  Google Scholar 

  9. K. Ito, “Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability,” California U.P., Berkeley (1967), Vol. 2, Part 1, p. 145.

    Google Scholar 

  10. I. Daubechies and J. R. Klauder, J. Math. Phys. 26:2239 (1985)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  11. J. R. Klauder and I. Daubechies, Phys. Rev. Lett. 52:1161 (1984).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  12. J. R. Klauder, Coherent State Path Integrals for Unitary Group Representions (AT &T Bell Laboratories preprint).

    Google Scholar 

  13. L. D. Faddeev, in “Methods in Field Theory,” eds. R. Bailan and J. Zinn-Justin, North-Holland and World Scientific, Singapore (1981), p. 1.

    Google Scholar 

  14. J. R. Klauder, Some Recent Results on Wave Equations, Path Integrals, and Semiclassical Approximations (AT &T Bell Laboratories preprint).

    Google Scholar 

  15. See, e.g., R. S. Brodkey, “The Phenomena of Fluid Motions,” Addison-Wesley, Reading (1976), Chap. 9.

    Google Scholar 

  16. See, e.g., R. J. Glauber, in “Quantum Optics and Electronics,” eds., C. DeWitt, A. Blandin and C. Cohen-Tannoudji, Gordon and Breach, New York (1964);

    Google Scholar 

  17. J. R. Klauder and E. C. G. Sudarshan, “Fundamentals of Optics,” W. A. Benjamin, New York (1968)

    Google Scholar 

  18. H. M. Nussenzweig, “Introduction to Quantum Optics,” Gordon and Breach, New York (1973).

    Google Scholar 

  19. See, e.g., J. Scherk, Rev. Mod. Phys. 47:123 (1975);

    Article  MathSciNet  ADS  Google Scholar 

  20. D. Amati, C. Bouchiat, and J. L. Gervais, Nuovo Cimento Lett. 2:399 (1969).

    Article  Google Scholar 

  21. See, e.g., “Interacting Bosons in Nuclear Physics,” ed. F. Iachello, Plenum, New York (1979);

    Google Scholar 

  22. J. N. Ginocchio and M. W. Kirson, Nucl. Phys. A 350:31 (1980)

    Article  MathSciNet  Google Scholar 

  23. J. N. Ginocchio and M. W. Kirson, Phys. Rev. Letters 44:1744 (1980).

    Article  MathSciNet  ADS  Google Scholar 

  24. See, e.g., M. J. Davies and E. J. Heller, J. Chem. Phys. 75:3919 (1981);

    ADS  Google Scholar 

  25. S. Shi, J. Chem. Phys. 79:1343 (1983).

    Article  MathSciNet  ADS  Google Scholar 

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© 1986 Plenum Press, New York

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Klauder, J.R. (1986). Are Coherent States the Natural Language of Quantum Theory?. In: Gorini, V., Frigerio, A. (eds) Fundamental Aspects of Quantum Theory. NATO ASI Series, vol 144. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-5221-1_1

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  • DOI: https://doi.org/10.1007/978-1-4684-5221-1_1

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-5223-5

  • Online ISBN: 978-1-4684-5221-1

  • eBook Packages: Springer Book Archive

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