Foundations of Physics

, Volume 8, Issue 1–2, pp 45–58 | Cite as

Generalized two-level quantum dynamics. II. Non-Hamiltonian state evolution

  • William Band
  • James L. Park


A theorem is derived that enables a systematic enumeration of all the linear superoperators ℒ (associated with a two-level quantum system) that generate, via the law of motion ℒρ=\(\dot \rho\), mappings ρ(0) → ρ(t) restricted to the domain of statistical operators. Such dynamical evolutions include the usual Hamiltonian motion as a special case, but they also encompass more general motions, which are noncyclic and feature a destination state ρ(t → ∞) that is in some cases independent of ρ(0).


Quantum System Dynamical Evolution Destination State State Evolution Systematic Enumeration 
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  1. 1.
    J. L. Park and W. Band,Found. Phys. 7, 813 (1977).Google Scholar
  2. 2.
    A. Kossakowski,Bull. Acad. Polon. Sci. Math. 21, 649 (1973).Google Scholar

Copyright information

© Plenum Publishing Corporation 1978

Authors and Affiliations

  • William Band
    • 1
  • James L. Park
    • 1
  1. 1.Department of PhysicsWashington State UniversityPullman

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