Gamow functionals on operator algebras

Authors: Castagnino M.1; Gadella M.2; Betán R.I.1; Laura R.1

Source: Journal of Physics A: Mathematical and General, Volume 34, Number 47, 2001 , pp. 10067-10083(17)

Publisher: Institute of Physics Publishing

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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 appropriate choice of the algebra, are time reversal of each other.

Language: English

Document Type: Miscellaneous

Affiliations: 1: Facultad de Ciencias Exactas, Ingeniería y Agrimensura, Av Pellegrini 250, 2000 Rosario, Argentina 2: Departamento de Física Teórica, Facultad de Ciencias, c./Real de Burgos, sn 47011 Valladolid, Spain

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