LEADER 02639nam a2200373 i 4500 001 991003263519707536 008 160728s2015 sz b 001 0 eng d 020 $a9783319228365 035 $ab14305410-39ule_inst 040 $aBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematica$beng 082 0 $a510 084 $aAMS 81-01 084 $aAMS 37A50 084 $aAMS 47D07 084 $aAMS 60J25 084 $aLC QA614.8.M85 100 1 $aMukhamedov, Farrukh$0718156 245 10$aQuantum quadratic operators and processes /$cFarrukh Mukhamedov, Nasir Ganikhodjaev 260 $aCham [Switzerland] :$bSpringer,$cc2015 300 $axiv, 231 p. ;$c24 cm 440 0$aLecture notes in mathematics,$x0075-8434 ;$v2133 504 $aIncludes bibliographical references and index 505 0 $aIntroduction ; Quadratic stochastic operators ; Quadratic processes ; Analytic methods in the theory of quadratic stochastic processes ; Quantum quadratic operators ; Quantum quadratic operators on M2(C) ; Infinite-dimensional quadratic operators ; Quantum quadratic stochastic processes 520 $aCovering both classical and quantum approaches, this unique and self-contained book presents the most recent developments in the theory of quadratic stochastic operators and their Markov and related processes. The asymptotic behavior of dynamical systems generated by classical and quantum quadratic operators is investigated and various properties of quantum quadratic operators are studied, providing an insight into the construction of quantum channels. This book is suitable as a textbook for an advanced undergraduate/graduate level course or summer school in quantum dynamical systems. It can also be used as a reference book by researchers looking for interesting  problems to work on, or useful techniques and discussions of particular problems. Since it includes the latest developments in the fields of quadratic dynamical systems, Markov processes and quantum stochastic processes, researchers at all levels are likely to find the book inspiring and useful 650 0$aDifferentiable dynamical systems 650 0$aFunctional analysis 650 0$aStochastic processes 700 1 $aGanikhodjaev, Nasir$eauthor$4http://id.loc.gov/vocabulary/relators/aut$0721406 907 $a.b14305410$b22-11-16$c28-07-16 912 $a991003263519707536 945 $aLE013 81-XX MUK11 (2015)$g1$i2013000293875$lle013$op$pE46.79$q-$rl$s- $t0$u1$v0$w1$x0$y.i15789093$z22-11-16 996 $aQuantum quadratic operators and processes$91413244 997 $aUNISALENTO 998 $ale013$b28-07-16$cm$da $e-$feng$gsz $h0$i0