Stochastic Isometries in Quantum Mechanics

  • P. Busch


The class of stochastic maps, that is, linear, trace-preserving, positive maps between the self-adjoint trace class operators of complex separable Hilbert spaces plays an important role in the representation of reversible dynamics and symmetry transformations. Here a characterization of the isometric stochastic maps is given and possible physical applications are indicated.

Hilbert space trace class state operator stochastic map isometry quantum mechanics reversibility 


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Copyright information

© Kluwer Academic Publishers 1999

Authors and Affiliations

  • P. Busch
    • 1
  1. 1.Department of MathematicsUniversity of HullHullU.K.

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