Gamow Functionals on Operator Algebras
classification
🪐 quant-ph
keywords
functionalsalgebraexponentiallygamowadmitalgebrasappropiatechoice
read the original abstract
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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