Resonances, Gamow Vectors and Time Asymmetric Quantum Theory

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Decaying states can be represented by Gamow vectors with an exponential, asymmetric time evolution. This asymmetric evolution is a manifestation of irreversibility on the microphysical level. The Rigged Hilbert Space provides a mathematical theory.
15 pages latex. XXII Symposium on Nuclear Physics, Oaxtepec, Mexico, January (1999)

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