Skip to main content
SpringerLink
Log in

First elements of a theory of quantum mechanical limit distributions

  • Conference paper
  • First Online:
Probability Measures on Groups

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 928))

  • 481 Accesses

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 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.95
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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. V. BARGMANN, On Unitary Ray Representations of Continuous Groups. Annals Math. 59, 1–46 (1954).

    Article  MathSciNet  MATH  Google Scholar 

  2. C.D. CUSHEN, R.L. HUDSON, A Quantum Mechanical Central Limit Theorem. J. Appl. Prob. 8, 454–469 (1971).

    Article  MathSciNet  MATH  Google Scholar 

  3. E. CZKWIANTIANC, Symmetric Semistable Measures on Rn and Symmetric Semistable Distribution Operators in Quantum Mechanics. Reports Math. Physics 17, 89–99 (1980).

    Article  Google Scholar 

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

    MathSciNet  MATH  Google Scholar 

  5. T. DRISCH, A Generalisation of Gleason’s Theorem. Int. J. Theor. Physics 18, 239–243 (1979).

    Article  MathSciNet  MATH  Google Scholar 

  6. T. DRISCH, Die Sätze von Bochner und Lévy für Gleason-Maße. Arch. Math. 34, 60–68 (1980).

    Article  MathSciNet  MATH  Google Scholar 

  7. T. DRISCH, Zur Realisierung unabhängiger kanonischer Paare. Arch. Math. 34, 357–370 (1980).

    Article  MathSciNet  MATH  Google Scholar 

  8. A. GLEASON, Measures on the Closed Subspaces of a Hilbert Space. J. Math. Mech. 6, 885–893 (1957).

    MathSciNet  MATH  Google Scholar 

  9. G.W. MACKEY, Unitary Representations of Group Extensions I. Acta Math. 99, 265–311 (1958).

    Article  MathSciNet  MATH  Google Scholar 

  10. G.W. MACKEY, Unitary Group Representations in Physics, Probability and Number Theory. Benjamin, Reading (Mass.) 1978.

    MATH  Google Scholar 

  11. J. v. NEUMANN, Die Eindeutgkeit der Schrödingerschen Operatoren. Math. Ann. 104, 570–578 (1931).

    Article  MathSciNet  MATH  Google Scholar 

  12. K.R. PARTHASARATHY, Multipliers on Locally Compact Groups. Springer Lecture Notes Math. 93, Heidelberg 1969.

    Google Scholar 

  13. K.R. PARTHASARATHY, K. SCHMIDT, Positive Definite Kernels, Continuous Tensor Products and Central Limit Theorems. Springer Lecture Notes Math. 272, Heidelberg 1975.

    Google Scholar 

  14. B. SIMON, Topics in Functional Analysis. In: R. STREATER, Mathematics of Contemporary Physics, London—New York 1972.

    Google Scholar 

  15. K. URBANIK, Stable Symmetric Probability Laws in Quantum Mechanics. In: Springer Lecture Notes 472, Heidelberg 1975.

    Google Scholar 

  16. V.S. VARADARAJAN, Probability in Physics and a Theorem on Simultaneous Observability. Comm. Pure App. Math. 15, 189–217 (1962).

    Article  MathSciNet  MATH  Google Scholar 

  17. V.S. VARADARAJAN, Geometry of Quantum Theory I, II. Van Nostrand, Princeton 1968.

    Book  MATH  Google Scholar 

Download references

Author information

Author notes

  1. T. Drisch

    Present address: Abt. Mathematik der Universität, Postfach 500 500, 46, Dortmund, BRD

Authors and Affiliations

    Authors
    1. T. Drisch
      View author publications

      You can also search for this author in PubMed Google Scholar

    Editor information

    Herbert Heyer

    Rights and permissions

    Reprints and permissions

    Copyright information

    © 1982 Springer-Verlag

    About this paper

    Cite this paper

    Drisch, T. (1982). First elements of a theory of quantum mechanical limit distributions. In: Heyer, H. (eds) Probability Measures on Groups. Lecture Notes in Mathematics, vol 928. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093218

    Download citation

    • DOI: https://doi.org/10.1007/BFb0093218

    • Published:

    • Publisher Name: Springer, Berlin, Heidelberg

    • Print ISBN: 978-3-540-11501-4

    • Online ISBN: 978-3-540-39206-4

    • eBook Packages: Springer Book Archive

    Publish with us

    Policies and ethics

    Search

    Navigation