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Real- and Complex-Energy Non-conserving Particle Number Pairing Solution

  • Rodolfo M. Id BetanEmail author
Chapter
Part of the CRM Series in Mathematical Physics book series (CRM)

Abstract

Many-body open quantum systems are characterized by the correlations between bound and scattering states. In contrast to a closed system (i.e., a very well bound many-body system), the continuous part of the energy spectrum has to be considered explicitly due to the proximity of the Fermi level to the continuum’s threshold. In this work we show how to introduce these correlations through the continuum single-particle level density (CSPLD) in the pairing framework. By isolating the resonances of the system using an analytic continuation, we arrive at the Berggren (complex-energy) representation of the pairing solution.

Keywords

Pairing Continuum Resonances Berggren Gamow 

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Instituto de Física Rosario (CONICET-UNR)Facultad de Ciencias Exactas, Ingeniería y Agrimensura (UNR)Santa FeArgentina
  2. 2.Instituto de Estudios Nucleares y Radiaciones Ionizantes (UNR)Ocampo y Esmeralda, RosarioSanta FeArgentina

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