Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2003-12-19
Rep. Math. Phys. vol 54 no 1 , August 2004, pp 81-92
Nonlinear Sciences
Chaotic Dynamics
Added Concluding Remarks, improved figure captions, updated references. 16 pages, 3 figures, Latex
Scientific paper
10.1016/S0034-4877(04)80007-7
It is shown that piecewise deterministic dissipative quantum dynamics in a vector space with indefinite metric can lead to well defined, positive probabilities. The case of quantum jumps on the Poincar'e disk is studied in details, including results of numerical simulations of quantum fractals. Keywords: iterated function systems, dynamical semigroups, EEQT, indefinite metric, quantum jumps, quantum measurement, non-commuting observables, fractals, Poincare disk
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