Letters in Mathematical Physics

, Volume 28, Issue 2, pp 155–164 | Cite as

The extremal microscopic coherent boson states

  • Reinhard Honegger


In a recent paper, the Fock-normal (=microscopic) fully-coherent statesL L (∞) (L denotes the factorizing linear form) have been completely characterized, and the existence of nonpure elements in the extreme boundary of the weak-*-compact, convex setL L has been shown. This letter is devoted to an analysis of the extremal fully-coherent states, especially those which are not pure states. An affine isomorphism is constructed betweenL L (∞) and a certain convex subset of the normal completely positive maps on the bounded operators on Fock space. Then the extreme boundary ofL L (∞) is determined by results and techniques from the theory of completely positive operators.

Mathematics Subject Classifications (1991)

81V80 47D45 46N55 


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Copyright information

© Kluwer Academic Publishers 1993

Authors and Affiliations

  • Reinhard Honegger
    • 1
  1. 1.Institut für Theoretische PhysikUniversität TübingenTübingenGermany

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