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Irreversibility and Causality Semigroups and Rigged Hilbert Spaces pp 34–37Cite as

Gamow states in a rigged hilbert space

  • Quantum Theory Beyond Hilbert Space
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Part of the book series: Lecture Notes in Physics ((LNP,volume 504-504))

Abstract

The space of analytical test functions rapidly decreasing on the real axis (i.e: Schwartz test functions on the real axis), is used to construct the Rigged Hilbert Space (RHS) where Resonant Gamow States (GS) are defined starting from Dirac’s formula. It is shown that the expectation value of a self-adjoint operator acting on a GS is real.

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References

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Authors and Affiliations

  1. Department of Physics, University of La Plata, C.C.67, 1900, La Plata, Argentina

    C. G. Bollini (fellow), O. Civitarese (fellow), A. L. De Paoli (fellow) & M. C. Rocca (fellow)

  2. the CIC, Pcia de Bs.As, Argentina

    C. G. Bollini (fellow)

  3. the CONICET, Argentina

    O. Civitarese (fellow), A. L. De Paoli (fellow) & M. C. Rocca (fellow)

Authors
  1. C. G. Bollini
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  2. O. Civitarese
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  3. A. L. De Paoli
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  4. M. C. Rocca
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Editor information

Arno Bohm Heinz-Dietrich Doebner Piotr Kielanowski

Additional information

Dedicated to the late Professor Tore Berggren

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© 1998 Springer-Verlag

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Bollini, C.G., Civitarese, O., De Paoli, A.L., Rocca, M.C. (1998). Gamow states in a rigged hilbert space. 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/BFb0106774

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  • DOI: https://doi.org/10.1007/BFb0106774

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-64305-0

  • Online ISBN: 978-3-540-69725-1

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