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K0 − \(\overline {K^0 }\) system in the rigged hilbert space quantum mechanics

  • Exact Quantum Theory Of The Neutral K-System — Hilbert Space Versus Rigged Hilbert Space Formulation
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Irreversibility and Causality Semigroups and Rigged Hilbert Spaces

Part of the book series: Lecture Notes in Physics ((LNP,volume 504-504))

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Abstract

The neutral K meson system is analyzed in the framework of the Rigged Hilbert Space quantum mechanics. The K mesons that are unstable are described as the Gamow states which are the generalized eigenstates of the hamiltonian with complex energy. It is shown that the generalized eigenfunction expansion of a coherent superposition of K 0 and \(\overline {K^0 }\) contains the usual K 1 and K 2 states and the background term which has non vanishing coupling to the 2π meson state. This can produce effect similar to the CP violating hamiltonian.

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Authors and Affiliations

  1. Departamento de Física, Centro de Investigación y de Estudios Avanzados del IPN, Ap. Postal 14-740, 07000, México D.F., Mexico

    P. Kielanowski

  2. Institute of Theoretical Physics, Warsaw University, ul. Hoża 69, 00-681, Warszawa, Poland

    P. Kielanowski

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  1. P. Kielanowski
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Arno Bohm Heinz-Dietrich Doebner Piotr Kielanowski

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© 1998 Springer-Verlag

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Kielanowski, P. (1998). K0 − \(\overline {K^0 }\) system in the rigged hilbert space quantum mechanics. In: Bohm, A., Doebner, HD., Kielanowski, P. (eds) Irreversibility and Causality Semigroups and Rigged Hilbert Spaces. Lecture Notes in Physics, vol 504-504. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0106789

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  • DOI: https://doi.org/10.1007/BFb0106789

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-64305-0

  • Online ISBN: 978-3-540-69725-1

  • eBook Packages: Springer Book Archive

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