Titlebook: Generated Dynamics of Markov and Quantum Processes; Martin Jan?en Textbook 2016 Springer-Verlag Berlin Heidelberg 2016 Generated Stochasti

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Giancarlo Gandolfo,Pier Carlo Padoan instanton solutions as stationary action solutions. We have a look at the generating role of entropy as a generalized thermodynamic potential close to equilibrium. A paradigmatic model for non-equilibrium phase transitions is the Laser model where we meet again the Landau potential and the interpla

palliate

Generated Dynamics,se elements as part of the dynamics. The short time steps are captured by a time homogeneous generator resulting in differential equations in continuous time. States can be configurations, probabilities or pre-probabilities for configurations. We discuss some simple prototypical systems and comment

糾纏,纏繞

Formal Solutions,e advantages as a starting point for approximate methods. In rare cases they even allow for explicit solutions. The analytic formal solutions by generating functionals (path integrals, partition sums) are most convenient as starting points for modeling systems. They provide a basis for interpreting

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Observables, States, Entropy and Generating Functionals,nsity operators) included with compact and flexible ways of calculation. We introduce the notion of entropy as a dispersion measure and consider its time evolution in Markov and quantum processes. We consider limits of stationarity and cross-over between different types of dynamics by taking system

Jogging

Symmetries and Breaking of Symmetries,ies which are spherical symmetric. If one manages to find coordinates fitting to symmetries, some of them disappear from the invariant functions and this reduces the calculation task drastically. The same idea is behind the use of symmetries in representation theory to classify (and thus simplify th

Pedagogy

六個才偏離

Selected Applications, instanton solutions as stationary action solutions. We have a look at the generating role of entropy as a generalized thermodynamic potential close to equilibrium. A paradigmatic model for non-equilibrium phase transitions is the Laser model where we meet again the Landau potential and the interpla

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Textbook 2016ersible stochastic processes generated by one-step unitary operators, while Markov processes are irreversible stochastic processes generated by one-step stochastic operators. The characteristic feature of quantum processes are oscillations, interference, lots of stationary states in bounded systems