Skip to main content
SpringerLink
Log in

A proof of the indeterminary relation of lifetime and energy

  • Published:
Letters in Mathematical Physics Aims and scope Submit manuscript

Abstract

A new proof of the indeterminacy relation of the standard energy deviation and lifetime of a pure quantum state is given by means of the Mandelstam-Tamm inequality.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Gelfand, I.M. and Fomin, S.W., Variational Calculus, Mir, Moscow, 1961 (in Russian).

    Google Scholar 

  2. Herbst, I., Commun. Math. Phys. 75, 197 (1980).

    Google Scholar 

  3. Holevo, A.S., Probabilistic and Statistic Aspects of Quantum Theory, Nauka, Moscow, 1980 (in Russian).

    Google Scholar 

  4. Holevo, A.S., Rep. Math. Phys. 13, 287 (1978).

    Google Scholar 

  5. Kato, T., Perturbation Theory for Linear Operators, Springer-Verlag, Berlin, Heidelberg, New York, 1966.

    Google Scholar 

  6. Lavine, R., in J.Nuttal (ed.), Atomic Scattering Theory, Univ. W. Ontario Press, London, Ontario, 1978.

    Google Scholar 

  7. Mandelstam, L.I. and Tamm, I., Izv. Akad. Nauk SSSR (ser. phys.), 9, 122 (1945) (in Russian).

    Google Scholar 

  8. Simon, B. and Reed, M., Methods of Modern Mathematical Physics, Vol. IV, Academic Press, New York, London, 1978.

    Google Scholar 

  9. Simon, B., J. Quantum Chem. 14, 529 (1978).

    Google Scholar 

  10. Sinha, K.B., Ann. Inst. Henri Poincaré 26, 263 (1977).

    Google Scholar 

  11. Thirring, W., A Course in Mathematical Physics, Vol. III, Springer-Verlag, New York. Vienna, 1979.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Physics, Nicholas Copernicus University, Torun, Poland

    Marian Grabowski

Authors
  1. Marian Grabowski
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Grabowski, M. A proof of the indeterminary relation of lifetime and energy. Lett Math Phys 8, 455–458 (1984). https://doi.org/10.1007/BF00400974

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00400974

Keywords

Search

Navigation