International Journal of Theoretical Physics

, Volume 36, Issue 11, pp 2271–2294 | Cite as

Vector states for single and multiple-pole resonances

  • M. Gadella


The formulation of quantum mechanics in rigged Hilbert spaces is used to study the vector states for resonance states or Gamow vectors. An important part of the work is devoted to the construction of Gamow vectors for resonances that appear as multiple poles on the analytic continuation of theS-matrix,S(E). The kinematical behavior of these vectors is also studied. This construction allow for generalized spectral decompositions of the Hamiltonian and the evolutionary semigroups, valid on certain locally convex spaces. Also a first attempt is made to define the resonance states as densities in an extension of the Liouville space, here called rigged Liouville space.


Hilbert Space Vector State Density Operator Dense Subspace Liouville Space 
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Copyright information

© Plenum Publishing Corporation 1997

Authors and Affiliations

  • M. Gadella
    • 1
  1. 1.Departamento de Física Teórica, Facultad de CienciasUniversidad de ValladolidValladolidSpain

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