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Gamow Functionals on Operator Algebras

M. Castagnino·M. Gadella·R. Id Betan·R. Laura
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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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M. Castagnino, M. Gadella, R. Id Betan, R. Laura. 2002-09-26. Gamow Functionals on Operator Algebras. https://arxiv.org/abs/quant-ph/0209146

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