Skip to main content

Extended Hilbert space formulation of Dirac's bra and ket formalism and its applications to abstract stationary scattering theory

  • Special Topics
  • Chapter
  • First Online:
Foundations of Quantum Mechanics and Ordered Linear Spaces

Part of the book series: Lecture Notes in Physics ((LNP,volume 29))

  • 219 Accesses

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Antoine, J.P.: Dirac Formalism and Symmetry Problems in Quantum Mechanics I, General Dirac Formalism, J. Math. Phys. 10, 53–69 (1969).

    Article  Google Scholar 

  2. Berezanskiî, Ju. M.: Expansions in eigenfunctions of self-adjoint operators, American Mathematical Society, Rhode Island, 1968.

    Google Scholar 

  3. Dirac, P.A.M.: The principles of quantum mechanics, Oxford University Press, Oxford, 1930.

    Google Scholar 

  4. Prugovečki, E.: Fuzzy sets in the theory of measurement of incompatible observables, Found. Phys. 3, No. 4 (1973) (in press).

    Google Scholar 

  5. —:The bra and ket formalism in extended Hilbert space, J. Math. Phys. 14, No. 9–10 (1973) (in press).

    Google Scholar 

  6. —: Quantum mechanics in Hilbert space, Academic Press, New York and London, 1971.

    Google Scholar 

  7. —: Eigenfunction expansions for stationary scattering theory in spaces with negative norm, (University of Toronto preprint).

    Google Scholar 

  8. —: Multichannel stationary scattering theory in two-Hilbert space formulation, J. Math. Phys. 14, 957–964 (1973).

    Article  Google Scholar 

  9. — and Tip, A.: Semi-groups of rank-preserving transformers on minimal norm ideals in B(H) (preprint).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

A. Hartkämper H. Neumann

Rights and permissions

Reprints and permissions

Copyright information

© 1974 Springer-Verlag

About this chapter

Cite this chapter

Prugovečki, E. (1974). Extended Hilbert space formulation of Dirac's bra and ket formalism and its applications to abstract stationary scattering theory. In: Hartkämper, A., Neumann, H. (eds) Foundations of Quantum Mechanics and Ordered Linear Spaces. Lecture Notes in Physics, vol 29. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-06725-6_26

Download citation

  • DOI: https://doi.org/10.1007/3-540-06725-6_26

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06725-2

  • Online ISBN: 978-3-540-38650-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics