Skip to main content

The quantum measurement process and the observation of continuous trajectories

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1055))

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. G. Ludwig, Commum. Math. Phys. 4, 331 (1967); 9, 1 (1968); Lecture Notes in Physics 4, Springer (1970).

    Article  ADS  MathSciNet  Google Scholar 

  2. K. Kraus in Lecture Notes in Physics 29, Springer (1970), p.206.

    Google Scholar 

  3. K.-E. Hellwig and K. Kraus, Commun. Math. Phys. 11, 214 (1969); 16, 142 (1970); A. Hartkämper, in Lecture Notes in Physics 29, Springer (1970), p. 107; H. Neumann, ibid. p. 116 and p. 316; R. Haag and D. Kastler, J. Math. Phys. 5, 848 (1964); C.M. Edwards, Commun. Math. Phys. 16, 207 (1970); 20, 26 (1971); E.B. Davies and J.T. Lewis, Commun. Math. Phys. 17, 239 (1970); A.S. Holevo, J. Multivariate Anal. 3, 337 (1973); Rep. Math. Phys. 13, 379 (1978); 16, 385 (1979); E. Prugovečki, J. Math. Phys. 17, 517 (1976); 18, 219 (1977).

    Article  ADS  MathSciNet  Google Scholar 

  4. E.B. Davies, Quantum theory of open systems, Academic (1976).

    Google Scholar 

  5. A.S. Holevo, Probabilistic and statistical aspects of quantum theory, North-Holland (1982).

    Google Scholar 

  6. A. Barchielli, L. Lanz and G.M. Prosperi, Nuovo Cimento 72B, 79 (1982).

    Article  ADS  MathSciNet  Google Scholar 

  7. A. Barchielli, Nuovo Cimento 74B, 113 (1983).

    Article  ADS  MathSciNet  Google Scholar 

  8. G. Lupieri, Generalized stochastic processes and continual observation in quantum mechanics, to appear in J. Math. Phys.

    Google Scholar 

  9. A. Barchielli, L. Lanz and G.M. Prosperi, Statistics of continuous trajectories in quantum mechanics: operation-valued stochastic processes, to appear in Found. of Physics.

    Google Scholar 

  10. See for instance: L. Lanz, G.M. Prosperi and A. Sabbadini, Nuovo Cimento 2B, 184 (1971); C. George, I. Prigogine and L. Rosenfeld, Dansk. Mat. Fys.Medd. 38, 1 (1972); M. Cimi, M. De Maria, G. Mattioli and F. Nicolò, Found. of Physics 9, 479 (1979); K. Hepp, Helv. Phys. Acta 45, 234(1972).

    Article  ADS  MathSciNet  Google Scholar 

  11. G. Ludwig, in Lecture Notes in Physics 29, Springer (1973), p.122; Makroskopische Systeme und Quantenmechanik, in Notes in Math. Phys. (Marburg, 1972).

    Google Scholar 

  12. I.M. Gel'fand and N.Ya.Vilenkim, Generalized functions, vol. 4, Applications of harmonic analysis, Academic (1964).

    Google Scholar 

  13. M.C. Reed, in Lecture Notes in Physics 25, Springer (1973), p.2.

    Google Scholar 

  14. G. Lindblad, Commun. Math. Phys. 48, 119 (1976).

    Article  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Luigi Accardi Alberto Frigerio Vittorio Gorini

Rights and permissions

Reprints and permissions

Copyright information

© 1984 Springer-Verlag

About this paper

Cite this paper

Prosperi, G.M. (1984). The quantum measurement process and the observation of continuous trajectories. In: Accardi, L., Frigerio, A., Gorini, V. (eds) Quantum Probability and Applications to the Quantum Theory of Irreversible Processes. Lecture Notes in Mathematics, vol 1055. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0071729

Download citation

  • DOI: https://doi.org/10.1007/BFb0071729

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12915-8

  • Online ISBN: 978-3-540-38798-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics