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Resonances, Gamow Vectors and Time Asymmetric Quantum Theory

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arxiv nucl-th/9902076 v1 pith:M53YBY5A submitted 1999-02-26 nucl-th math-phmath.MP

Resonances, Gamow Vectors and Time Asymmetric Quantum Theory

classification nucl-th math-phmath.MP
keywords asymmetricevolutiongamowtheorytimevectorsdecayingexponential
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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    quant-ph 2026-07 conditional novelty 7.0

    An operator-frame principal bundle with an Ehresmann connection yields a quantum geometric tensor that remains analytic across vacuum-instability phase transitions where conventional state-space geometry fails.