Skip to main content
SpringerLink
Log in
Book cover

Probability-Winter School pp 195–206Cite as

Stable symmetric probability laws in quantum mechanics

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 472))

This is a preview of subscription content, 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   34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
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. Araki, H., Hamiltonian formalism and the canonical commutation relations in quantum field theory. J. Math. Phys. 1 (1960), p. 492–504.

    Article  MathSciNet  MATH  Google Scholar 

  2. Bergström, H., On some expansions of stable distribution function, Ark. för mat. 2 (1952), p. 375–378.

    Article  MATH  Google Scholar 

  3. Cushen, C.D. and Hudson, R.L., A quantum-mechanical central limit theorem, J. Applied Math. 8 (1971), p. 454–469.

    MathSciNet  MATH  Google Scholar 

  4. Dixmier, J., Sur la relation i(PQ-QP)=1. Comp. Math. 13 (1958), p. 263–270.

    MathSciNet  MATH  Google Scholar 

  5. Lévy, P., Théorie de l'addition des variables aléatoires, Paris, 1954.

    Google Scholar 

  6. K. Urbanik, Joint probability distributions of observables in quantum mechanics, Studia Math. 21 (1962), p. 117–133.

    MathSciNet  MATH  Google Scholar 

  7. Wigner, E., On the quantum correction for thermodynamic equilibrium, Phys. Rev. 40 (1932), p. 749–759.

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Wrocław University and the Institute of Mathematics, Polish Academy of Sciences, Wrocław, Poland

    K. Urbanik

Authors
  1. K. Urbanik
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Z. Ciesielski K. Urbanik W. A. Woyczyński

Rights and permissions

Reprints and permissions

Copyright information

© 1975 Springer-Verlag

About this paper

Cite this paper

Urbanik, K. (1975). Stable symmetric probability laws in quantum mechanics. In: Ciesielski, Z., Urbanik, K., Woyczyński, W.A. (eds) Probability-Winter School. Lecture Notes in Mathematics, vol 472. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081954

Download citation

  • DOI: https://doi.org/10.1007/BFb0081954

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07190-7

  • Online ISBN: 978-3-540-37556-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation