ISSN:
1572-9613
Keywords:
Dynamical systems
;
Markov processes
;
K flows
;
H theorem
;
time operator
;
irreversibility
;
instability
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract We discuss the problem of nonunitary equivalence, via positivity-preserving similarity transformations, between the unitary groups associated with deterministic dynamical evolution and semigroups associated with stochastic processes. Dynamical systems admitting such nonunitary equivalence with stochastic Markov processes are said to beintrinsically random. In a previous work, it was found that the so-called Bernoulli systems (discrete time) are intrinsically random in this sense. This result is extended here by showing that a more general class of dynamical systems—the so-calledK systems andK flows—are intrinsically random. The connection of intrinsic randomness with local instability of motion is briefly discussed. We also show that Markov processes associated through nonunitary equivalence tononisomorphic K flows are necessarily non-isomorphic.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01008481
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