Gamow Functionals on Operator Algebras

Physics – Quantum Physics

Scientific paper

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26 pages

Scientific paper

We obtain the precise form of two Gamow functionals, representing the
exponentially decaying part of a quantum resonance and its mirror image that
grows exponentially, as a linear, positive and continuous functional on an
algebra containing observables. These functionals do not admit normalization
and, with an appropiate choice of the algebra, are time reversal of each other.

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