Skip to main content
SpringerLink
Log in

General Theory and Applications to Unstable Particles

  • Chapter
Book cover Quantum Dynamical Semigroups and Applications

Part of the book series: Lecture Notes in Physics ((LNP,volume 717))

Abstract

The aim of the first part of these lecture notes is to give a concise and self-contained introduction into a mathematically sound theory of quantum Markovian master equations. The text is intended for those who are interested in practical applications and are not experts in mathematical physics. Therefore the original proofs are highly simplified or replaced by heuristic ones. However, the final results are always consistent with the rigorous mathematical theory.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 54.99
Price excludes VAT (USA)
  • Durable hardcover 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. K. Kraus, Ann. Phys. 71, 311 (1971)

    ADS  MathSciNet  Google Scholar 

  2. E. B. Davies, Quantum Theory of Open Systems, Academic Press, London 1976

    MATH  Google Scholar 

  3. G. Lindblad, Commun. Math. Phys. 40, 147 (1975)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  4. V. Gorini, A. Kossakowski and E. C. G. Sudarshan, J. Math. Phys. 17, 821 (1976)

    Article  ADS  MathSciNet  Google Scholar 

  5. A. Wehrl, Rev. Mod. Phys. 50 221 (1978)

    Article  ADS  MathSciNet  Google Scholar 

  6. V. Gorini, A. Frigerio, M. Verri, A. Kossakowski and E. C. G. Sudarshan, Rep. Math. Phys. 13, 149 (1978)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  7. H. Spohn and J. Lebowitz, Adv. in Chem. Phys. 38, 109 (1978)

    Article  Google Scholar 

  8. H. Spohn, Rev. Mod. Phys. 53 569 (1980)

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  MATH  ADS  MathSciNet  Google Scholar 

  10. E. B. Davies, Rep. Math. Phys. 11, 169 (1977)

    Article  MATH  ADS  Google Scholar 

  11. S. Nakajima, Prog. Theor. Phys. 20, 948 (1958)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  12. I. Prigogine and P. Resibois, Physics 27, 629 (1961)

    MathSciNet  Google Scholar 

  13. R. Zwanzig, Lectures in Theor. Phys. 3, 106 (1960)

    Google Scholar 

  14. F. Haake, Statistical treatment of open systems by generalized master equations, Springer Tracts in Modern Physics, Vol. 66, Berlin 1973

    Google Scholar 

  15. E. B. Davies, Commun. Math. Phys. 39, 91 (1974)

    Article  MATH  ADS  Google Scholar 

  16. E. B. Davies, Math. Ann. 219, 147 (1976)

    Article  MATH  MathSciNet  Google Scholar 

  17. R. Dümke and H. Spohn, Z. Phys. B34, 419 (1979)

    ADS  Google Scholar 

  18. E. B. Davies, Ann. Inst. H. Poincaré 38, 91 (1978)

    Google Scholar 

  19. J. Czub and J. Fiutak, J. Phys. B18, 2657 (1985); Acta Phys. Polon. A70, 187 (1986)

    ADS  Google Scholar 

  20. R. Dümke, Commun. Math. Phys. 97, 331 (1985)

    Article  Google Scholar 

  21. R. Alicki, Rep. Math. Phys. 10, 249 (1976)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  22. A. Kossakowski, A. Frigerio, V. Gorini and M. Verri, Commun. Math. Phys. 57, 97 (1977)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  23. H. Spohn, Lett. Math. Phys. 2, 33 (1977)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  24. A. Frigerio, Lett. Math. Phys. 2, 79 (1977)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  25. A. Frigerio, Commun. Math. Phys. 63, 269 (1978)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  26. K. Hepp and E.H. Lieb, Helv. Phys. Acta 46, 573 (1973)

    Google Scholar 

  27. V. Gorini and A. Kossakowski, J. Math. Phys. 17, 1298 (1976)

    Article  ADS  MathSciNet  Google Scholar 

  28. P. F. Palmer, J. Math. Phys. 18, 527 (1977)

    Article  ADS  MathSciNet  Google Scholar 

  29. D. E. Evans and J. T. Lewis, Dilations of irreversible evolutions in algebraic quantum theory, Commun. Dublin Institute for Advanced Studies Ser. A, No 24 (1977)

    Google Scholar 

  30. R. L. Hudson and K. R. Parthasarathy, Commun. Math. Phys. 93, 301 (1984)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  31. R. Alicki and M. Fannes, Commun. Math. Phys. 108, 353 (1987)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  32. R. Alicki, Z. Phys. A307, 279 (1982)

    MathSciNet  ADS  Google Scholar 

  33. E. B. Davies and H. Spohn, J. Stat. Phys. 19, 511 (1978)

    Article  MathSciNet  ADS  Google Scholar 

  34. R. Alicki, J. Phys. A12, L103 (1979)

    ADS  Google Scholar 

  35. D. J. Thouless, The Quantum Mechanics of Many-Body Systems, Academic, New York 1972

    Google Scholar 

  36. R. Alicki and J. Messer, J. Stat. Phys. 32, 299 (1983)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  37. G. S. Agarwal, Quantum Optics, in Springer Tracts inModern Physics, Springer, Berlin 1974, Vol. 70

    Google Scholar 

  38. M. Gross and S. Haroche, Phys. Rep. 93, 301 (1982)

    Article  ADS  Google Scholar 

  39. A. Crubellier, S. Liberman, D. Pavolini and P. Pillet, J. Phys. B18, 3811 (1985)

    ADS  MathSciNet  Google Scholar 

  40. D. Pavolini, A. Crubellier, P. Pillet, L. Cabaret and S. Liberman, Phys. Rev. Lett. 54, 1917 (1985)

    Article  ADS  Google Scholar 

  41. R. Alicki, Physica A150, 455 (1988)

    ADS  MathSciNet  Google Scholar 

  42. R. Alicki, Rep. Math. Phys. 10, 1 (1977); 14, 27 (1978)

    Article  MathSciNet  ADS  Google Scholar 

  43. R. Alicki, Physica 96A, 506 (1979)

    ADS  Google Scholar 

  44. D. E. Evans, Commun. Math. Phys. 70, 53 (1979)

    Article  MATH  ADS  Google Scholar 

  45. B. Damoen, P. Vanheuverzwijn and A. Verbeure, Lett. Math Phys. 2, 161 (1971); Rep. Math. Phys. 15, 27 (1979)

    Article  ADS  Google Scholar 

  46. R. Alicki, M. Fannes and A. Verbeure, J. Phys. A19, 919 (1986)

    ADS  MathSciNet  Google Scholar 

  47. E. B. Davies, Commun. Math. Phys. 27, 309 (1972)

    Article  ADS  Google Scholar 

  48. C. W. Gardiner, Handbook of Stochastic Methods, Springer, Berlin 1983

    MATH  Google Scholar 

  49. R. Alicki, J. Math. Phys. 23, 1370 (1982)

    Article  ADS  MathSciNet  Google Scholar 

  50. A. Kossakowski, Rep. Math. Phys. 3, 247 (1972)

    Article  MathSciNet  ADS  Google Scholar 

  51. L. S. Schulman, Ann. Phys. 59, 201 (1970)

    Article  MATH  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Theoretical Physics and Astrophysics, University Gdansk, Wita Stwosza 57, 80-952, Gdańsk, Poland

    Robert Alicki

Authors
  1. Robert Alicki
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer

About this chapter

Cite this chapter

Alicki, R. (2007). General Theory and Applications to Unstable Particles. In: Quantum Dynamical Semigroups and Applications. Lecture Notes in Physics, vol 717. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-70861-8_1

Download citation

Publish with us

Policies and ethics

Search

Navigation