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Gamow Functionals on Operator Algebras

Quantum Physics 2007-05-23 v1

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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Cite

@article{arxiv.quant-ph/0209146,
  title  = {Gamow Functionals on Operator Algebras},
  author = {M. Castagnino and M. Gadella and R. Id Betan and R. Laura},
  journal= {arXiv preprint arXiv:quant-ph/0209146},
  year   = {2007}
}

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26 pages