Skip to main content
SpringerLink
Log in

Irreversible quantum mechanics in the neutralK-system

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

The neutral kaon system is used to test the quantum theory of resonance scattering and decay phenomena. The two dimensional Lee-Oehme-Yang theory with complex Hamiltonian is obtained by truncating the complex basis vector expansion of the exact theory in rigged Hilbert space. This can be done forK 1 andK 2 as well as forK S andK L , depending upon whether one chooses the (self-adjoint, semibounded) Hamiltonian as commuting or noncommuting withCP. As an unexpected curiosity, one can show that the exact theory (without truncation) predicts long-time 2π decays of the neutral kaon system even if the Hamiltonian conservesCP.

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

  • Antoine, J. P. (1969a).Journal of Mathematical Physics,10, 53.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  • Antoine, J. P. (1969b).Journal of Mathematical Physics,10, 2276.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  • Antoniou, I. (1992). InProceedings of the II International Wigner Symposium, Goslar, 1991, H. D. Doebneret al., eds., World Scientific, Singapore.

    Google Scholar 

  • Antoniou, I., and Prigogine, I. (1993).Physica A,192, 443.

    Article  ADS  MathSciNet  Google Scholar 

  • Antoniou, I., and Tasaki, S. (1993).International Journal of Quantum Chemistry,46, 425.

    Article  Google Scholar 

  • Barr, G. D.,et al. (1993).Physics Letters B,317, 233.

    Article  ADS  Google Scholar 

  • Bohm, A. (1967).Boulder Lectures in Theoretical Physics 1966, Vol. 9A, Gordon and Breach, New York.

    Google Scholar 

  • Bohm, A. (1978).Letters in Mathematical Physics,3, 455.

    Article  ADS  MathSciNet  Google Scholar 

  • Bohm, A. (1981).Journal of Mathematical Physics,22, 2813.

    Article  ADS  MathSciNet  Google Scholar 

  • Bohm, A. (1993). InProceedings of the Symposium on the Foundations of Modern Physics, Cologne, June 1, 1993, P. Busch and P. Mittelstaedt, eds., World Scientific, Singapore, p. 77.

    Google Scholar 

  • Bohm, A. (1994).Quantum Mechanics, 3rd ed., Springer, New York.

    Google Scholar 

  • Bohm, A. (1995).Physical Review A,51, 1758.

    Article  ADS  MathSciNet  Google Scholar 

  • Bohm, A., and Gadella, M. (1989).Dirac Kets, Gamov Vectors and Gel'fand Triplets, Springer, Berlin.

    Google Scholar 

  • Bohm, A., Darriulat, P., Grasso, C., Kaftanov, V., Kleinknecht, K., Lynch, H. L., Rubbia, C., Ticho, H., and Tittel, K. (1969).Nuclear Physics B,9, 605.

    Article  ADS  Google Scholar 

  • Bohm, A., Antoniou, I., and Kielanowski, P. (1994).Physics Letters A,189, 442.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  • Bohm, A., Antoniou, I., and Kielanowski, P. (1995).Journal of Mathematical Physics,36, 2593.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  • Bohm, A., Maxson, S., Loewe, M., and Gadella, M. (1996). Quantum mechanical irreversibility,Physica A, to appear.

  • Christenson, J., Cronin, J., Fitch, V., and Turley, R. (1964).Physical Review Letters,13, 138.

    Article  ADS  Google Scholar 

  • Christenson, J. H.,et al. (1974).Physical Review Letters,43, 1212.

    Article  ADS  Google Scholar 

  • Ellis, J., Hagelin, J. S., Nanopoulos, D. V., and Sredicki, M. (1984).Nuclear Physics B,241, 381.

    Article  ADS  MathSciNet  Google Scholar 

  • Ellis, J., Lopez, J. L., Mavromatos, N. E., and Nanopolous, D. V. (1992).Physics Letters B,293, 142.

    Article  ADS  Google Scholar 

  • Ellis, J., Lopez, J. L., Mavromatos, N. E., and Nanopolous, D. V. (1995). CERN-TH 95–99.

  • Fonda, L., Ghirardi, G. C., and Rimini, A. (1978).Reports on Progress in Physics,41, 587.

    Article  ADS  Google Scholar 

  • Gadella, M. (1983a).Journal of Mathematical Physics,24, 2142.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  • Gadella, M. (1983b).Journal of Mathematical Physics,24, 1462.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  • Gadella, M. (1984).Journal of Mathematical Physics,25, 2481.

    Article  ADS  MathSciNet  Google Scholar 

  • Gamow, G. (1928). Zeitschrift für Physik,51, 510.

    Article  Google Scholar 

  • Garcia-Calderon, G., and Peierls, R. (1976).Nuclear Physics A,265, 443.

    Article  ADS  Google Scholar 

  • Geweniger, C.,et al. (1974).Physics Letters,48B, 487.

    ADS  Google Scholar 

  • Gibbons, L. K. (1993). Dissertation, University of Chicago, August 1993.

  • Gibbons, L. K.,et al. (1993).Physical Review Letters,70, 1199, 1203.

    Article  ADS  MathSciNet  Google Scholar 

  • Hernandez, E., and Mondragon, A. (1984).Physical Review C,29, 722.

    Article  ADS  Google Scholar 

  • Huet, P., and Peskin, M. E. (1995).Nuclear Physics B,434, 3.

    Article  ADS  Google Scholar 

  • Khalfin, L. A. (1972).JETP Letters,25, 349.

    Google Scholar 

  • Khalfin, L. A. (1994). CP violation problem beyond the Lee-Oehme-Yang theory, inThe DaΦne Physics Handbook, Frascati, Italy.

  • Kleinknecht, K. (1989). InCP Violation, C. Jarskog, ed., World Scientific, Singapore, p. 41.

    Google Scholar 

  • Lee, T. D. (1981).Particle Physics and Introduction to Field Theory, Harwood, Chur, Switzerland, and references therein.

    Google Scholar 

  • LeGac, R. (1996). Study ofCP, T andCPT in the neutralK system, in Workshop onK Physics, Orsay, May 1996.

  • Ludwig, G. (1983/1985).Foundations of Quantum Mechanics, Vols. I and II, Springer-Verlag, Berlin.

    Google Scholar 

  • Maiani, L., Pancheri, G., and Paver, N. (1992).The DaΦne Physics Handbook, Vol. 1, Servizio documentazione dei Laboratori nazionali di Frascati, Frascati, Italy.

    Google Scholar 

  • Melsheimer, O. (1974).Journal of Mathematical Physics,15, 902.

    Article  ADS  MathSciNet  Google Scholar 

  • Pais, A. (1990). InCP-Violation: The First 25 Years, J. Tran Thanh Van, ed., Editions Frontières, Gif-sur-Yvette, France.

    Google Scholar 

  • Peierls, R. E. (1995). InProceedings of the 1954 Glasgow Conference on Nuclear and Meson Physics, E. M. Bellamyet al., eds., Pergamon Press, Oxford.

    Google Scholar 

  • Roberts, E. (1966).Journal of Mathematical Physics,7, 1097.

    Article  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. University of Texas at Austin, 78712, Austin, Texas

    Arno Bohm

Authors
  1. Arno Bohm
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Arno Bohm.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bohm, A. Irreversible quantum mechanics in the neutralK-system. Int J Theor Phys 36, 2239–2269 (1997). https://doi.org/10.1007/BF02768924

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02768924

Keywords

Search

Navigation